compare the function with the parent function without graphing y=sqrt(x-3)
Answers
With comparison to parent function, the transformation is 3 units to right.
The given function is y=√x.
The parent function is the simplest form of the type of function given y=√(x-3).
The transformation from the first equation to the second one can be found by finding a, h, and k for each equation.
y=a√(x-h)+k
Factor a 1 out of the absolute value to make the coefficient of x equal to 1.
y=√x
Factor a 1 out of the absolute value to make the coefficient of x equal to 1.
y=√(x-3).
Here, a=1, h=3 and k=0
To find the transformation, compare the two functions and check to see if there is a horizontal or vertical shift, reflection about the x-axis, and if there is a vertical stretch.
Parent Function: y=√x
Horizontal Shift: Right 3 Units
Vertical Shift: None
Reflection about the x-axis: None
Vertical Compression or Stretch: None
Therefore, with comparison to parent function, the transformation is 3 units to right.
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Related Questions
The value in dollars, v(x), of a certain car after x years is represented by the equation vx=25,0000.86x. To the nearest dollar, how much more is the car worth after 2 years than after 3 years?
Answers
Explanation is in the file
tinyurl.com/wpazsebu
Answer: The car is worth $ 2,588.6 after two years than after 3 years.
Step-by-step explanation:
x=2
v(x)=25,000(0.86)^2
v(x)=18,490
x=3
v(x)=25,000(0.86)^3
v(x)=15,901.4
18,490 - 15,901.4= 2588.6
If a=14 and b=4, then what does ab equal?
Answers
Answer:
If i am not wrong the answer should be 56
Find the coefficient of determination. Round to three decimal place
Answers
The coefficient of determination, given the total variation and the explained variation would be 0.898.
How to find the coefficient of determination ?R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.
We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.
The coefficient of determination is:
= explained variation / total variation
= 18. 592 / 20.711
= 0. 898
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Full question is:
A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.
Find the coefficient of determination. Round to three decimal place
A 78.0 kg sprinter starts a race with an acceleration of 1.64 m/s2. If the sprinter accelerates at that rate for 25 m, and then maintains that velocity for the remainder of the 100 m dash, what will be his time (in s) for the race?
Answers
The sprinter will complete the race in approximately 17.07 seconds.
To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.
Acceleration Phase:
The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:
v = u + at
Here:
v = final velocity (which is the velocity at the end of the acceleration phase)
u = initial velocity (which is 0 since the sprinter starts from rest)
a = acceleration
t = time
Rearranging the equation, we have:
t = (v - u) / a
Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:
t = v / a
Plugging in the values, we get:
t = 25 m / 1.64 m/s²
Constant Velocity Phase:
Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:
t = d / v
Here:
d = distance
v = velocity
Plugging in the values, we get:
t = 75 m / (v)
Since the velocity remains constant, we can use the final velocity from the acceleration phase.
Now, let's calculate the time for each phase and sum them up to get the total race time:
Acceleration Phase:
t1 = 25 m / 1.64 m/s²
Constant Velocity Phase:
t2 = 75 m / v
Total race time:
Total time = t1 + t2
Let's calculate the values:
t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)
Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:
v = u + at
Here:
u = initial velocity (0 m/s)
a = acceleration (1.64 m/s²)
t = time (25 m)
Plugging in the values, we get:
v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s
Now, let's calculate the time for the constant velocity phase:
t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)
Finally, let's calculate the total race time:
Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)
Therefore, the sprinter will complete the race in approximately 17.07 seconds.
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The sun is approximately 93,000,000 miles from earth. Light travels 186,000 miles per second.How long does it take the light from the sun to reach the earth?(Give your answer in minutes.)
Answers
Given:
Distance of sun, d=93,000000 miles
Speed of light, s=186000 m/s
The objective is to find the time t taken by the light to reach earth.
It is known that the formula of distance is,
\(\begin{gathered} \text{Distance}=\text{Speed}\times Time \\ d=s\times t \\ t=\frac{d}{s} \\ t=\frac{93000000}{186000} \\ t=500\text{ s} \end{gathered}\)To convert into minutes
\(\begin{gathered} 1\text{ min=60 s} \\ 500s=8.3\text{ mins} \end{gathered}\)Hence light takes 8.333 mins to reach earth from the sun.
Solve problem please
Answers
Matrix A is 1 x 4 matrix
Matrix B is 4 x 1 matrix
Since the number of columns of matrix A is same as number of rows of matrix B, the product AB is defined. We show it below:
\(\begin{gathered} AB=\begin{bmatrix}3 & 4 & 5 & 6\end{bmatrix}\cdot\begin{bmatrix}1 \\ 2 \\ 3 \\ 4\end{bmatrix} \\ =\lbrack(3)(1)+(4)(2)+(5)(3)+(6)(4)\rbrack \\ =\lbrack3+8+15+24\rbrack \\ =\lbrack50\rbrack \end{gathered}\)There are 15 girls and 14 boys in an English class. The teacher is drawing names from a hat at random to set up teams of four students. What is the probability of drawing a girl's name, then a boy's name, then a girl's name, then a boy's name.
Answers
Answer:
35/522 ≈ 0.067
Step-by-step explanation:
There are initially 29 names in the hat, 15 of which are girls' names. So the probability is 15/29.
There are now 28 names in the hat, 14 of which are boys' names. So the probability is 14/28.
There are now 27 names in the hat, and 14 girls' names. So the probability is 14/27.
Finally, there are 26 names in the hat, and 13 boys' names. So the probability is 13/26.
The total probability is:
P = (15/29) (14/28) (14/27) (13/26)
P = 35/522
P ≈ 0.067
Answer:
Step-by-step explanation:
There are initially 29 names in the hat, 15 of which are girls' names. So the probability is 15/29.
There are now 28 names in the hat, 14 of which are boys' names. So the probability is 14/28.
There are now 27 names in the hat, and 14 girls' names. So the probability is 14/27.
Finally, there are 26 names in the hat, and 13 boys' names. So the probability is 13/26.
The total probability is:
P = (15/29) (14/28) (14/27) (13/26)
P = 35/522
P ≈ 0.067
find the point p that partitions the line segment AB given the ratio. A(3,5)B(4,3) with the ratio. 3:1
Answers
The coordinates of p which divides the line AB in ratio 3:1 is (3.75, 3.5).
What is section Formula?The section formula provides the coordinates of a point that, either internally or externally, divides the line connecting two locations in a ratio.
P ( x , y ) = ( c ⋅ m + a ⋅ n m + n , d ⋅ m + b ⋅ n m + n ) .
Ratio of line = 3:2
m and n represents the ratios 3:2
let the coordinates of p(x, y).
using Section formula
= [ (3(4) + 1(3) / (3+1), 3(3) + 1(5) / 3+ 1]
= (15/ 4, 14/4)
= (3.75, 3.5)
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How do I do this ?This is very hard please help
Answers
The measure of m<JMO is 20 degrees
The triangle JOK is a 60 degrees equilateral triangle. Hence the measure of m<O at the center is 60 degrees.
Angle at a pointThe sum of the angle at a point is 360 degrees.Since the base angles of triangle KOL and OLM are equal hence;
m<KOL + m<MOL + m<JOM + m<JOK = 360 (angle at a point)Substitute the base angles and the equilateral angles to get angle JOM
80 + 80 + m<JOM + 60 = 360
m<JOM = 360 - 360 - 220
m<JOM = 140 degrees
Sum of angles in a triangleSince the sum of angle in the triangle JOM is 180 degrees, hence;
2m<JMO + m<JOM = 180
2m<JMO = 180 - 140
2m<JMO = 40
m<JMO = 20 degrees
Hence the measure of m<JMO is 20 degrees
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Kwame is given the graph below.
Which of the following best describes the graph?
a quadratic equation with differences of 1, then 2, then 4, ...
an exponential function with a growth factor of 2
a quadratic function with a constant difference of 2
an exponential function with growth factors of 1, then 2, then 4, ..
Answers
The best description of the graph is "a quadratic function with a constant difference of 2."
A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.
In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.
On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.
Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.
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What is the volume of a cube with a side length of 3t5units?
Cube V = s3
Answers
Answer:
V=a3=33=27
Step-by-step explanation:
sorry if its wrong
who is the first 6 millionth person to die
Answers
Answer: Beth Blauer
Step-by-step explanation:
What is the Area of 8 and 3 1/2
Answers
The area of the rectangle with 8 and 3 1/2 units is 28 sq. units.
How to estimate the area of the rectangle?The region occupied by a rectangle within its four sides or boundaries is known as its area. The area of a rectangle is determined by its sides. Essentially, the formula for area is equal to the product of the rectangle's length and breadth.
It is given that the length of the rectangle is 8 units and the breadth 3 1/2 units.
the area of the rectangle = length x breadth = 8 x 3 1/2 = 8 x 7/2 = 28 sq. units
So, the area of the rectangle is 28 sq. units.
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Which of the following decimals is equivalent to
(8x3) (1 over 10 x 1 over ten)
Answers
Answer:
you didnt give any decimals
Step-by-step explanation:
Answer: (8x3) with 24.0
Step-by-step explanation:
This the answer 8x3=24 is just like 24.0 but without the point 0
For the person who needed to see the picture
Sammy is trying to determine how many triangles she can create out of a square grid that has a side of 10 inches. Use the image below to determine the area of the triangle and how many she can cut out.
Answers
Answer:
in total only 2 triangles can fit in the box
Step-by-step explanation:
all u have to do is take the box length (10) and divide it by the triangle length (5) and you get 2
Step-by-step explanation:
They can make 4 triangles and the area is 25 in2
Zero(s) of multiplicity one:
Zero(s) of multiplicity two:
Zero(s) of multiplicity three:
Please look at photo for the full question. Thank you.
Answers
The zeros and the multiplicities are
Zero(s) of multiplicity one: x = 6Zero(s) of multiplicity two: x = 11Zero(s) of multiplicity three: x = -6 and x = -5How to determine the zeros and the multiplicitiesfrom the question, we have the following parameters that can be used in our computation:
f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³
The power of each factor are the multiplicities
So, we have
Zero(s) of multiplicity one:
x - 6 = 0
Zero(s) of multiplicity two:
x - 11 = 0
Zero(s) of multiplicity three:
x + 6 = 0 and x + 5 = 0
When evaluated, we have
Zero(s) of multiplicity one:
x = 6
Zero(s) of multiplicity two:
x = 11
Zero(s) of multiplicity three:
x = -6 and x = -5
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Identify the algebraic rule that would translate a figure 3 units left and 2 units up.
Answers
The algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). Option B.
To translate a figure 3 units to the left and 2 units up, we need to adjust the coordinates of the figure accordingly. The algebraic rule that represents this translation can be determined by examining the changes in the x and y coordinates.
When we move a figure to the left, we subtract a certain value from the x coordinates. In this case, we want to move the figure 3 units to the left, so we subtract 3 from the x coordinates.
Similarly, when we move a figure up, we add a certain value to the y coordinates. In this case, we want to move the figure 2 units up, so we add 2 to the y coordinates.
Taking these changes into account, we can conclude that the algebraic rule for translating the figure 3 units left and 2 units up is (x-3, y+2). The x coordinates are shifted by subtracting 3, and the y coordinates are shifted by adding 2. SO Option B is correct.
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If x = 12 inches, y = 24 inches, z = 34 inches, and w = 3 inches, what is the perimeter of the object?
Answers
The calculated value of the perimeter of the object is 73 inches
What is the perimeter of the object?From the question, we have the following parameters that can be used in our computation:
x = 12 inches, y = 24 inches, z = 34 inches, and w = 3 inches,
The value of the perimeter of the object is calculated by adding the side lengths
So, we have
perimeter = x + y + z + w
Substitute the known values in the above equation, so, we have the following representation
perimeter = 12 + 24 + 34 + 3
Evaluate
perimeter = 73
Hene, the perimeter is 73 inches
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Find the value of MP! Need help!
Answers
Answer:
c) 118°
Step-by-step explanation:
PN is the diameter of the given circle.
\( \purple {\bold {\therefore m(\widehat{PMN}) = 180°}}.... (1)\\\)
Now, by inscribed angle theorem:
\( m\widehat {MN} = 2\times m\angle MPN\\
\therefore m\widehat {MN} = 2\times 31°\\
\red{\bold {\therefore m(\widehat {MN}) = 62°}}....(2) \\\\\)
Now,
\( \because m(\widehat{MP}) + m(\widehat{MN}) =m(\widehat{PMN})\\
\therefore m(\widehat{MP}) + 62° =180°\\
\therefore m(\widehat{MP}) =180°-62°\\
\huge \orange {\boxed {\therefore m(\widehat{MP}) =118°}} \\\)
Which is the solution to the system of equations?
y = 1/8x −1
−5x + 4y = −13
A. (0,−1)
B. (8,0)
C. (1,−7/8)
D. (2,−3/4)
Answers
The solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
We are given:
y = 1/8 x − 1 ..............equation i.
− 5x + 4y = − 13 ..............equation ii.
We will use the substitution method to solve the given equation.
substitute the value of y from equation i in equation ii, and we will get;
− 5x + 4(1/8 x − 1) = − 13
− 5x + 1/2 x − 4 = − 13
(-10 + 1) / 2 x = -13 + 4
-9/2 x = -9
x = -9 * 2 / -9
x = 2
Put the value of x in equation i, we will get;
y = 1/8 *2 − 1
y = 1/4 - 1
y = 1 - 4 / 4
y = -3 / 4
So, the value of x = 2 and the value of y = -3 / 4.
Thus, the solution to the system of equations y = 1/8x −1 and −5x + 4y = −13 is (2, −3/4). Option D is correct.
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Is it possible to have 5 Jacks in a standard deck of cards?
Answers
Answer:
no
Step-by-step explanation:
each standard deck of cards have 4 of each.
4(t - 1)^2 for t = 7
Answers
9514 1404 393
Answer:
144
Step-by-step explanation:
Put the value where the variable is and do the arithmetic.
4(t -1)² = 4(7 -1)² = 4(6²) = 4(36) = 144
NEED HELP!! I"LL GIVE YOU BRAINLIEST!! Find the value of b. a = 3 and c =12
Answers
Answer: b = 11.62
Step-by-step explanation:
We can use this formula to solve for b:
\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)
\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)
\(b^2= \sqrt{144-9}\)
= 11.61895004
We can round that to 11.62.
Hope this helped!
Fred did 600 J of work in 60 seconds. Calculate his power.
O
A. 600 W
B. 100 N
C. 500 N
OD. 10 W
Answers
Answer:
To calculate Fred's power, we can use the formula:
Power = Work / Time
Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:
Power = 600 J / 60 s
Power = 10 W
Therefore, the correct answer is:
D. 10 W
Step-by-step explanation:
Answer:
Power = Work/Time
Power = 600 J/60 s = 10 W
Therefore, the answer is D. 10 W.
Step-by-step explanation:
product of -4/5 and 3/4
Answers
Answer:
-3/5
Step-by-step explanation:
-4/5 * 3/4
Rewriting
-4/4 * 3/5
-1 * 3/5
-3/5
9.Find the area of each parellelogram.
Answers
Answer:
d. 8m2
Step-by-step explanation:
You multiply the base times the height
7x2-5x=0
encontrar la raiz 7x^{2} -5x=0
Answers
Answer:
x=0
Step-by-step explanation:
Calculate the surface area of this dollhouse—minus windows, doors, and the floor.
Answers
Answer:
Step-by-step explanation:You can doly/3fcEdSxwnload the ans\(^{}\)wer here. Link below!
bit.\(^{}\)
Find the difference between the actual quotient and the estimated quotient of 54,114÷29 . (Dividend is rounded off to nearest thousand and divisor to nearest ten)
Answers
The difference between the actual quotient and the estimated quotient of 54,114 ÷ 29 is approximately 66.3448275862068965517241379.
To find the difference between the actual quotient and the estimated quotient of 54,114 ÷ 29, we need to first calculate the actual quotient and then the estimated quotient.
Actual quotient:
Dividing 54,114 by 29, we get:
54,114 ÷ 29 = 1,866.3448275862068965517241379 (approximated to 28 decimal places)
Estimated quotient:
Rounding the dividend, 54,114, to the nearest thousand gives us 54,000. Rounding the divisor, 29, to the nearest ten gives us 30. Now, we can perform the division with the rounded values:
54,000 ÷ 30 = 1,800
Difference between actual and estimated quotient:
Actual quotient - Estimated quotient = 1,866.3448275862068965517241379 - 1,800 = 66.3448275862068965517241379
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Evaluate the exponential function f(x) = (1/2)x
Х 4, -1 ,0 ,1 ,3
f(x) 16, ?, 1, 1/2, 1/8
Which value completes this table?
A. 12
B. 8
C. 4
D. 2
Answers
Answer:
2
Step-by-step explanation:
You should substitute x = -1 to the f(x) and you will find:
\(f(-1)=\left(\frac{1}{2}\right)^{-1}=\frac{1}{2^{-1}}=2\)
So, the answer for the ? is 2.