D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answers
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8
Related Questions
Write the equation for a line passing through (4, 13) and has a slope of 3
Answers
Answer:
Step-by-step explanation:
y - 13 = 3(x - 4)
y - 13 = 3x - 12
y = 3x + 1
Please Help I Don't Understand!!!
Answers
Answer:
14.5
Step-by-step explanation:
\( \frac{2}{7} = \frac{5}{m + 3} \)
\(2(m + 3) = 7 \times 5\)
\(2m + 6 = 35\)
\(2m = 35 - 6\)
\(2m = 29\)
\(m = 14.5\)
Answer:
m = 14.5
Step-by-step explanation:
\(\frac{2}{7}\) = \(\frac{5}{m+3}\) ( cross- multiply )
2(m + 3) = 35
2m + 6 = 35 ( subtract 6 from both sides )
2m = 29 ( divide both sides by 2 )
m = 14.5
If sin X = .342, then x=?
Answers
Answer:
Step-by-step explanation:
sinx=.342
then x is just so simple
\(x=sin^{-1} (.342)\\\\\)
put that in a calculator or something
Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6] is revolved about the x-axis. Set up the integral that should be used to find the volume of the solid. Use increasing limits of integration. (Type exact answers.) Find the volume or state that it does not exist. Select the correct answer and, if necessary, fill in the box to complete your choice. A. The volume is cubic units. (Type an exact answer.) B. The volume does not exist.
Answers
The correct option is A. The volume is 6.77 cubic units
The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].
We want to find the volume of the solid of revolution when the region is rotated about the x-axis.
Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}
To set up the integral to find the volume of the solid of revolution, we can use the disk method.
We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.
The area of a disk is given by the formula: A = πr²
where r is the radius of the disk and is equal to f(x) in this case.
Therefore, the area of a disk is: A = πf(x)²
Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.
We have The integral that should be used to find the volume of the solid is given as:
V = ∫₁⁶ πf(x)² dx
We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.
We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx
Let u = x - 1, so that du/dx = 1 and dx = du.
When x = 1, u = 0, and when x = 6, u = 5.
Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.
The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.
Thus, the correct option is A. The volume is 6.77 cubic units.
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I need help
Solving this problem
Answers
The required value of x is 22 degrees for the given figure.
Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.
As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:
According to the given figure, it can be written as follows:
2x + 24 + 6x - 20 = 180
8x + 4 = 180
8x = 180 - 4
8x = 176
x = 176/8
x = 22
Therefore, the required value of x is 22 degrees for the given figure.
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The complete question is as follows:
Find the value of x for the below figure.
True or False:
Using a linear regression equation, the closer the correlation, r, is to zero, the less accurate the prediction of y from x is.
Answers
It is incorrect to assume that the closer the correlation coefficient, "r", is to zero, the less accurate the prediction of y from x is. Hence the given statement is false.
Using a linear regression equation, the correlation coefficient, denoted as "r", measures the strength and direction of the linear relationship between two variables, x and y. The value of "r" ranges from -1 to 1, where -1 indicates a perfect negative linear relationship, 1 indicates a perfect positive linear relationship, and 0 indicates no linear relationship.
Therefore, the closer the correlation, "r", is to zero, the weaker the linear relationship between x and y, but it does not necessarily imply that the prediction of y from x is less accurate.
Linear regression aims to find the best-fitting line that minimizes the sum of squared residuals (the differences between the predicted and actual values of y). A lower correlation coefficient, "r", means that the points in the scatter plot of x and y are scattered more randomly, and the linear relationship is weaker.
However, the accuracy of the prediction of y from x depends on various factors, such as the sample size, variability of data, and other assumptions of linear regression. In some cases, even if the correlation coefficient, "r", is close to zero, the linear regression equation may still provide accurate predictions of y from x, if other assumptions of linear regression are met and the data fits a linear pattern.
Therefore, it is incorrect to assume that the closer the correlation coefficient, "r", is to zero, the less accurate the prediction of y from x is.
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What is AAS ASA SSS SAS?
Answers
The rules AAS, ASA, SSS and SAS are congruence rule of triangle and the each rules has been explained
The rules AAS, ASA, SSS and SAS are congruence rule of triangle
SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent
SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to the two sides and one included angles between the sides of the other triangle, then both triangles are congruent
ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent
AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent
Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle
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Write 40n as the product of its prime factors.
Answer
Answer quickly please.
Answers
Answer:
Prime numbers are those that only have two factors, the number itself and 1. The two factors cannot be the same. E.g. 2 is a prime number but 1 is not.A prime factor is when a prime number is a factor of another number e.g. 2 is a prime factor of 12. So when told to write a number as a product of its prime factors, you need to show all the prime numbers that can multiply together to make that particular number.So 40 as product of prime factors:2x2x2x5 or 2^3 x5 -----> diagram
when you do partition, you only have to compare the median of medians with elements that you do not already know how they compare. how many such elements need to be compared to the median of medians.
Answers
When using the partition algorithm, the goal is to divide a set of elements into two subsets based on a chosen pivot element. This pivot element is typically chosen as the median of the set or a close approximation to it.
To find the median of the set, we first divide it into groups of 5 (or any other fixed number). We then find the median of each group, which will give us a set of medians. We can then recursively find the median of this set of medians, which will give us an approximate median for the entire set.
Once we have the pivot element, we can compare it to each element in the set and divide them into two subsets based on whether they are greater or less than the pivot element. However, we do not need to compare the pivot element to every element in the set.
We only need to compare the pivot element to the elements that we do not already know how they compare. These are the elements that are in different subsets than the pivot element.
For example, if the pivot element is greater than a certain element, we know that this element is in the subset that contains elements less than the pivot. Therefore, we do not need to compare the pivot element to this element.
In general, we only need to compare the pivot element to approximately half of the elements in the set. This is because each comparison will divide the set into two subsets, one of which we already know the relationship to the pivot element.
In conclusion, when using the partition algorithm, we only need to compare the median of medians to approximately half of the elements in the set, those that we do not already know how they compare.
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Lydia invests $1000 in an account that pays
5.25% compounded daily. Gabrielle invests the
same amount of money in an account that pays
5.25% compounded semi-annually instead.
Lydia makes more money in 3 years, but how
much more does she make?
Answers
Lydia earns $52.5 more than Gabrielle after 3 years.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
we can use the formula for compound interest:
\(A = P(1 + r/n)^n^t\)
where A is the final amount,
P is the principal (initial investment),
r is the annual interest rate (as a decimal),
n is the number of times the interest is compounded per year, and
t is the number of years.
For Lydia (n=365)
A=1000(1+0.0525/365)¹⁰⁹⁵
A=1115.7
For Gabrille, we use the same formula but with n = 2 (compounded semi-annually):
A = 1000(1 + 0.0525/2)⁶
A = 1000(1.0265625)⁶
A = 1168.2
To find the difference in the amounts earned, we subtract Gabrielle's amount from Lydia's:
1168.2- 1115.7 = 52.5
Hence, Lydia earns $52.5 more than Gabrielle after 3 years.
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Which animal is closer to sea level? O Lobster: -10 feet Mussel: -- 6 feet
Answers
Answer:
Mussel
Step-by-step explanation:
Answer:
Mussel.
Step-by-step explanation:
find the area of the region that lies inside the first curve and outside the second curve. r = 5 − 5 sin(), r = 5
Answers
The area of the region is (25/4)π + 50 square units.
How to find the area of the region that lies inside the first curve and outside the second curve?The given equations are in polar coordinates. The first curve is defined by the equation r = 5 − 5 sin(θ) and the second curve is defined by the equation r = 5.
To find the area of the region that lies inside the first curve and outside the second curve, we need to integrate the area of small sectors between two consecutive values of θ, from the starting value of θ to the ending value of θ.
The starting value of θ is 0, and the ending value of θ is π.
The area of a small sector with an angle of dθ is approximately equal to (1/2) r² dθ. Therefore, the area of the region can be calculated as follows:
Area = 1/2 ∫[0,π] (r1²- r2²) dθ, where r1 = 5 − 5 sin(θ) and r2 = 5.Area = 1/2 ∫[0,π] [(5 − 5 sin(θ))² - 5^2] dθArea = 1/2 ∫[0,π] [25 - 50 sin(θ) + 25 sin²(θ) - 25] dθArea = 1/2 ∫[0,π] [25 sin²(θ) - 50 sin(θ)] dθArea = 1/2 [25/2 (θ - sin(θ) cos(θ)) - 50 cos(θ)] [0,π]Area = 1/2 [(25/2 (π - 0)) - (25/2 (0 - 0)) - 50(-1 - 1)]Area = 1/2 [(25/2 π) + 100]Area = (25/4) π + 50Therefore, the area of the region that lies inside the first curve and outside the second curve is (25/4) π + 50 square units.
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SOMEONE PLZZZ HELP ME PLZZZZZZZ
Answers
Answer:
the domain is continuous
Step-by-step explanation:
hope this helps :)
In the given figure ABCD, prove that
angleBCD= angleBAD+ angle ABC+angle ADC.
[Hint: Join A and C then extended AC to the point E]
Answers
We have proved that Angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
To prove that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, we can use the following steps:
Step 1: Join points A and C with a line segment. Let's label the point where AC intersects with line segment BD as point E.
Step 2: Since line segment AC is drawn, we can consider triangle ABC and triangle ADC separately.
Step 3: In triangle ABC, we have angle B + angle ABC + angle BCA = 180 degrees (due to the sum of angles in a triangle).
Step 4: In triangle ADC, we have angle D + angle ADC + angle CDA = 180 degrees.
Step 5: From steps 3 and 4, we can deduce that angle B + angle ABC + angle BCA + angle D + angle ADC + angle CDA = 360 degrees (by adding the equations from steps 3 and 4).
Step 6: Consider quadrilateral ABED. The sum of angles in a quadrilateral is 360 degrees.
Step 7: In quadrilateral ABED, we have angle BAD + angle ABC + angle BCD + angle CDA = 360 degrees.
Step 8: Comparing steps 5 and 7, we can conclude that angle B + angle BCD + angle D = angle BAD + angle ABC + angle ADC.
Step 9: Rearranging step 8, we get angle BCD = angle BAD + angle ABC + angle ADC.
Therefore, we have proved that angle BCD is equal to angle BAD plus angle ABC plus angle ADC, as required.
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Given: Quadrilateral \(\displaystyle\sf ABCD\)
To prove: \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\)
Proof:
1. Draw segment \(\displaystyle\sf AC\) and extend it to point \(\displaystyle\sf E\).
2. Consider triangle \(\displaystyle\sf ACD\) and triangle \(\displaystyle\sf BCE\).
3. In triangle \(\displaystyle\sf ACD\):
- \(\displaystyle\sf \angle ACD = \angle BAD + \angle ADC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).4. In triangle \(\displaystyle\sf BCE\):
- \(\displaystyle\sf \angle BCE = \angle BAD + \angle ABC\) (Angles of a triangle add up to \(\displaystyle\sf 180^\circ\)).5. Since \(\displaystyle\sf \angle BCE\) and \(\displaystyle\sf \angle BCD\) are corresponding angles formed by transversal \(\displaystyle\sf BE\):
- \(\displaystyle\sf \angle BCE = \angle BCD\).6. Combining the equations from steps 3 and 4:
- \(\displaystyle\sf \angle BCD = \angle ACD = \angle BAD + \angle ADC\). - \(\displaystyle\sf \angle BCD = \angle BCE = \angle BAD + \angle ABC + \angle ADC\).Therefore, we have proven that in quadrilateral \(\displaystyle\sf ABCD\), \(\displaystyle\sf \angle BCD = \angle BAD + \angle ABC + \angle ADC\).
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Plzz pls pls pls pls help me I’m stuck
Answers
Answer:
1. x-5=3x-45
2. x=20
3.Perimeter is 45 units since each side is 15 units.
Step-by-step explanation:
x-5=3x-45
-5=2x-45
40=2x
x=20
So AB is 15 and AC and BC is also 15 since it is equilateral. 15+15+15=45 The perimeter is 45 units.
Please help me with number 5.
Answers
Answer:
D
Step-by-step explanation:
multiply the packs with the amount of bottles in each one. then subtract the number you got when you multiplied 4x8. I'm not good at explaining but hope this helps
When you flip a biased coin the probability of getting a tail is 0.4. How many times would you expect to get tails if you flip the coin 160 times?
Answers
Answer:
50 im not 100% sure tho
Step-by-step explanation:
find the missing angle please help
Answers
Answer:
I think the answers 66 not quite sure though
Step-by-step explanation:
I just subtracted 111 and 45
if p=(3,1) and Q=(-3,-7), find the equation of the circle that has segment PQ as the diameter (x-{?})^2+(y-{?})^2={?}
Answers
Answer:
x² + (y + 3)² = 25
Step-by-step explanation:
the centre (C) of the circle is at the midpoint of the diameter.
using the midpoint formula
midpoint = ( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )
with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )
C = ( \(\frac{3-3}{2}\) , \(\frac{1-7}{2}\) ) = ( \(\frac{0}{2}\) , \(\frac{-6}{2}\) ) = (0, - 3 )
the radius r is the distance from the centre to either P or Q
using the distance formula
r = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )
r = \(\sqrt{(3-0)^2+(1-(-3)^2}\)
= \(\sqrt{3^2+(1+3)^2}\)
= \(\sqrt{3^2+4^2}\)
= \(\sqrt{9+16}\)
= \(\sqrt{25}\)
= 5
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (0, - 3 ) and r = 5 , then
(x - 0 )² + (y - (- 3) )² = 5² , that is
x² + (y + 3)² = 25
Please help me out please
Answers
Answer:
The answer is 8
Step-by-step explanation:
A bag of hotdog buns contains 15 buns, and a package of hotdogs contains 20 hotdog buns. How many packages of each are needed so that each of the 60 campers has hotdogs and buns with none left over
Answers
Answer:
4 packages of hot dog buns and 3 packages of hot dogs.
Step-by-step explanation:
Answer:
3 packages of hotdogs.
Step-by-step explanation:
How to do the circumference of a semicircle with a radius of 7 1/2.
Answers
Answer:
38.6 units (nearest tenth)
Step-by-step explanation:
Formulae
Diameter = 2r Circumference = 2πr(where r is the radius)
Circumference of a semicircle = diameter + half the circumference
⇒ Circumference of a semicircle = 2r + πr
Given:
\(\sf radius\:{(r)=7\frac12=7.5\)\(\begin{aligned}\implies \textsf{Circumference of semicircle} & = 2(7.5) + \pi(7.5)\\ & = 15+7.5 \pi\\ & = 38.5619449...\\ & = 38.6\:\sf units\:(nearest\:tenth)\end{aligned}\)
Circumference
πr+2rr(π+2)7.5(3.14+2)7.5(5.14)38.6units²what is the answer of 81g^2 - 36f^2 ?????
Answers
Answer:
(9g - 6f)(9g + 6f)
Step-by-step explanation:
81g^2 - 36f^2 =
(9g)² - (6f)² =
(9g - 6f)(9g + 6f)
What is the solution to the inequality 4x + 10 > 28 - 2x?
Answers
Answer:
x>3
Step-by-step explanation:
Step-by-step explanation:
1 - subtract 10 from both sides so (4x+10-10>28-2x-10)
2 - Simplify (4x>-2x+18)
3 - Add 2x to both sides (4x+2x>-2x+18+2x)
4 - Simplify (6x>18)
5 - Divide both side by 6 (6x/6>18/6)
6 Simplify which gives you (x>3)
Answer: x>3
Step-by-step explanation:
1- subtract 10 from both sides so (4x+10-10>28-2x-10)
2 - Simplify (4x>-2x+18)
3 - Add 2x to both sides (4x+2x>-2x+18+2x)
4 - Simplify (6x>18)
5 - Divide both side by 6 (6x/6>18/6)
6 Simplify which gives you (x>3)
bounded by the paraboloid z = 4 + 2x2 + 2y2 and the plane z = 10 in the first octant
Answers
As a result, the solid's volume in the first octant, which is restricted by the paraboloid z = 4 + 2 x + 2 y, is 9.
We must determine the limits of integration for x, y, and z in order to determine the volume of the solid in the first octant bounded by the paraboloid z = 4 + 2x + 2y + 2 and the plane z = 10.
At z = 10, where the paraboloid and plane overlap, we put the two equations equal and find z:
4 + 2x^2 + 2y^2 = 10
2x^2 + 2y^2 = 6
x^2 + y^2 = 3
This is the equation for a circle in the xy plane with a radius of 3, centred at the origin. We just need to take into account the area of the circle where x and y are both positive as we are only interested in the first octant.
Integrating over the circle in the xy-plane, we may determine the limits of integration for x and y:
∫∫[x^2 + y^2 ≤ 3] dx dy
Switching to polar coordinates, we have:
∫[0,π/2]∫[0,√3] r dr dθ
Integrating with respect to r first gives:
∫[0,π/2] [(1/2)(√3)^2] dθ
= (3/2)π
So the volume of the solid is:
V = ∫∫[4 + 2x^2 + 2y^2 ≤ 10] dV
= (3/2)π(10-4)
= 9π
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Make up any vector y in r4 whose entries add up to 1. Compute p[infinity]y, and compare your result to p[infinity]x0. How does the initial distribution vector y of the electorate seem to affect the distribution in the long term? by looking at the matrix p[infinity], give a mathematical explanation.
Answers
A vector is a mathematical term that describes a specific type of object. In particular, a vector in R4 is a four-dimensional vector that has four components, which can be thought of as coordinates in a four-dimensional space. In this question, we will make up a vector y in R4 whose entries add up to 1. We will then compute p[infinity]y, and compare our result to p[infinity]x0.
However, if y is not a uniform distribution, then the long-term distribution will depend on the specific transition matrix P. For example, if the transition matrix P has an absorbing state, meaning that once the chain enters that state it will never leave, then the long-term distribution will be concentrated on that state.
In conclusion, the initial distribution vector y of the electorate can have a significant effect on the distribution in the long term, depending on the transition matrix P. If y is uniform, then the long-term distribution will also be uniform, regardless of P. Otherwise, the long-term distribution will depend on the specific P, and may be influenced by factors such as absorbing states or stable distributions.
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given a set of data and a corresponding regression line, describe all values of x that provide meaningful predictions for y. a. prediction value are meaningful for all x-values that are realistic in the context of the original data setb. prediction value are meaningful only for x-values that are not included in the original data setc. prediction value are meaningful only for x-values in (or close to) the range of the original data
Answers
Once the regression line has been constructed, it can be used to make predictions about the value of y for a given value of x. However, these predictions are only meaningful if the value of x is in or close to the range of the original data. This is because the regression line is constructed based on the data points, and therefore it only accurately models the relationship between x and y within the range of the data.
For example, if the original data points have x-values between 0 and 100, then the regression line will provide meaningful predictions for y only for x-values between 0 and 100, or close to this range. Predictions for x-values outside of this range may not be accurate, because the regression line may not accurately represent the relationship between x and y outside of the range of the data.
Therefore, in order for the prediction value to be meaningful, the value of x must be in or close to the range of the original data.
How to find a quadratic equation with y-intercept and vertex? Explain with examples.
Answers
To find a quadratic equation with the y-intercept and vertex, follow these steps: identify the coordinates of the y-intercept and vertex, substitute them into the general form of the quadratic equation, solve for the coefficients, and substitute the coefficients back into the equation. For example, if the y-intercept is (0, 3) and the vertex is (-2, 1), the quadratic equation would be y = x^2 + x + 3.
To find a quadratic equation with the y-intercept and vertex, we can follow these steps:
Step 1: Identify the coordinates of the y-intercept. The y-intercept has the form (0, c), where c is the y-coordinate.Step 2: Identify the coordinates of the vertex. The vertex has the form (-b/2a, f(-b/2a)), where a, b, and c are the coefficients of the quadratic equation.Step 3: Substitute the coordinates of the y-intercept and vertex into the general form of the quadratic equation, y = ax^2 + bx + c.Step 4: Solve the resulting system of equations to find the values of a, b, and c.Step 5: Substitute the values of a, b, and c back into the general form of the quadratic equation to obtain the final equation.For example, let's say the y-intercept is (0, 3) and the vertex is (-2, 1). We can substitute these coordinates into the general form of the quadratic equation:
3 = a(0)^2 + b(0) + c
1 = a(-2)^2 + b(-2) + c
Simplifying these equations, we get:
c = 3
4a - 2b + c = 1
By substituting c = 3 into the second equation, we can solve for a and b:
4a - 2b + 3 = 1
4a - 2b = -2
2a - b = -1
By solving this system of equations, we find a = 1 and b = 1. Substituting these values back into the general form of the quadratic equation, we obtain the final equation:
y = x^2 + x + 3
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To find a quadratic equation with a given y-intercept and vertex, you need the coordinates of the vertex and one additional point on the curve.
Start with the standard form of a quadratic equation: y = ax^2 + bx + c, where a, b, and c are constants.Use the vertex form of a quadratic equation: y = a(x - h)^2 + k, where (h, k) represents the coordinates of the vertex.Substitute the vertex coordinates (h, k) into the equation to obtain the equation in vertex form.Use the y-intercept to find another point on the curve. The y-intercept has the form (0, c), where c is the value of y when x is zero.Substitute the coordinates of the additional point into the equation to obtain a system of two equations. Solve the system to find the values of a, b, and c.Substitute the determined values of a, b, and c into the standard form of the quadratic equation to obtain the final equation.Example:
Suppose we want to find a quadratic equation with a y-intercept of (0, 4) and a vertex at (2, -1).
Using the vertex form, we have y = a(x - 2)^2 - 1.Substituting the y-intercept coordinates, we get 4 = a(0 - 2)^2 - 1, which simplifies to 4 = 4a - 1.Solving the equation above, we find a = 1.Substituting the values of a and the vertex coordinates into the vertex form equation, we have y = 1(x - 2)^2 - 1.Expanding the equation and simplifying, we get y = x^2 - 4x + 3.The final quadratic equation with the given y-intercept and vertex is y = x^2 - 4x + 3.To find a quadratic equation with a given y-intercept and vertex, you can use the vertex form of a quadratic equation and substitute the coordinates to obtain the equation. Then, use the y-intercept to find an additional point on the curve and solve a system of equations to determine the coefficients. Finally, substitute the coefficients into the standard form of the quadratic equation to get the final equation.
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5 + x = -2
I need work and answer!!!!
Answers
We need to get x by itself.
We do that by subtracting 5 from both sides.
This leaves us with x = -7.
So x = -7 is the solution.
Answer:
The final answer is \(x = -7\) .
Step-by-step explanation:
Solve the equation:
\(5 + x = -2\)
Subtract both sides by 5:
\(5 - 5 + x = -2 -5\)
\(x = -7\)
So, therefore, \(x = -7\) is the final answer.
Please help now !!!!!!
Answers
Answer:
The tablet costs more than the smartphone
Step-by-step explanation:
1 year tablet = $1.50
1 year smartphone = $0.02x12months = $0.24