Points from a quadratic function are given in the table. x f(x)-3 -11-2 -1-1 50 71 52 -1a) What is the vertex of the function? b) What is the equation of the axis of symmetry? c) List two sets of symmetric points: & and d) The graph crosses the x-axis between -2 and -1. It crosses it again between e) The y-intercept of the graph is f) Follow the pattern in the table: When x = 3, y = 1 g) Does this function have a maximum or a minimum? h) What is the point that is symmetric to (-3, -11)? .
Answers
Given the points from a quadratic function.
Firstly, let us plot the points;
Above is a graph shown each of the ponts;
a) The vertex of the function.
It is the point at which the function on the graph changes direction.
For the given function, the vertex is at point;
\((0,7)\)b) The equation od the axis of symmetry.
this is the line that divides the function on the graph into two equal halves.
For the given function, the axis of symmetry is at;
\(x=0\)
Related Questions
-) Aspirin has a half-life of 6 hours in the blood stream. If a person takes 625mg, how long will it take for there to be 150mg left in the bloodstream?
Answers
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
We have,
To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.
The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.
Let's calculate the number of half-lives required to reach 150mg:
Initial amount of aspirin = 625mg
Final amount of aspirin = 150mg
625mg / 150mg = 4.17
This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.
Since each half-life is 6 hours, we can calculate the total time it will take:
Total time = Number of half-lives * Half-life duration
Total time = 4.17 x 6 hours
Total time ≈ 25 hours and 1 minute
Therefore,
It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.
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The sides of a rectangle are enlarged by a scale factor of 2. Write
down the scale factor that the area is enlarged by.
Answers
Answer:
4
Step-by-step explanation:
both sides are multiplied by 2 which means its the original area*2*2 which means it's the original area*4
Each of the following correctly match an English phrase with a mathematical expression except _____. a number times seven, 7x a number subtracted from seven, 7 - x the sum of a number and seven, 7 + x a number divided by 7,
Answers
Answer:
D, a number divided by 7
A fruit stand has to decide what to charge for their produce. They need $10 sign for 4 apples and 4 oranges. They also need$15 for 6 apples and 6 oranges. We put this information into a system of linear equations.
Can we find a unique price for an apple and an orange?
Choose 1 answer:
(Choice A)
A
Yes; they should charge \$1.00$1.00dollar sign, 1, point, 00 for an apple and \$1.50$1.50dollar sign, 1, point, 50 for an orange.
(Choice B)
B
Yes; they should charge \$1.50$1.50dollar sign, 1, point, 50 for an apple and \$1.00$1.00dollar sign, 1, point, 00 for an orange.
(Choice C)
C
No; the system has many solutions.
(Choice D)
D
No; the system has no solution.
Answers
The system of linear equations has no solution and we can't determine a unique price
What is System of Linear EquationA system of linear equations is a set of two or more linear equations that contain two or more variables. A linear equation is an equation in which the highest exponent of the variable is 1. For example, 3x + 2y = 9 is a linear equation. A system of linear equations is a collection of two or more linear equations that share two or more variables.
Let;
Apple = xOrange = yThe equations are given as;
4x + 4y = 10 ...eq(i)
6x + 6y = 15 ...eq(ii)
Solving the equations
From equation(i)
4x + 4y = 10
4x = 10 - 4y
x = (10 - 4y) / 4 ...eq(iii)
Put eq(iii) into equation (ii)
6(10 - 4y) / 4 + 6y = 15
y = 5/2 - x
The system has many solutions
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Suppose that the readings on the thermometers are normally distributed with a mean of 0∘ and a standard deviation of 1.00∘C.
If 12% of the thermometers are rejected because they have readings that are too high, but all other thermometers are acceptable, find the reading that separates the rejected thermometers from the others.
Answers
The reading that separates the rejected thermometers from the others is given as follows:
1.175 ºC.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution of the data-set, depending if the obtained z-score is positive(above the mean) or negative(below the mean).The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
\(\mu = 0, \sigma = 1\)
The 12% higher of temperatures are rejected, hence the 88th percentile is the value of interest, which is X when Z = 1.175.
Hence:
1.175 = X/1
X = 1.175 ºC.
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The domain of this emath equation is
Answers
Answer:
x ≥ 5
Step-by-step explanation:
You want the domain of the equation y = √(x -5) -1.
DomainThe domain of the function is the set of x-values for which it is defined. The square root is not defined for negative values, so the domain is ...
x -5 ≥ 0
x ≥ 5 . . . . . . the domain of this function
__
Additional comment
The range is the set of y-values the function may produce. Here, that set of values is y ≥ -1.
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find the volume of the square pyramid. type an integer or decimal. round final answer to nearest tenth as needed.
Answers
Answer:
Explanation:
Given:
To find:
The volume of the square pyramid
The volume(V) of a square pyramid can be determined using the below formula;
\(V=a^2\frac{h}{3}\)where a = length of the side of the square base = 4 in
h = height of the pryramid = 7 in
So if we substitute the above values into the formula and solve for V, we'll have;
\(\begin{gathered} V=4^2\frac{7}{3} \\ =16*\frac{7}{3} \\ =37.3\text{ in}^3 \end{gathered}\)So the volume of the square pyramid is 37.3 in^3
What is the value of -16 - (-34)
Answers
Answer: 18
Step-by-step explanation:
Distribute that negative sign like a -1 to get:
-16 + 34 = 18
(02.02 MC)
If trapezoid ABCD was reflected over the y-axis, reflected over the x-axis, and rotated 180°, where would point A′′′ lie?
Trapezoid formed by ordered pairs A at negative 4, 1, B at negative 3, 2, C at negative 1, 2, D at 0, 1.
(1, −1)
(−4, 1)
(1, 1)
(−4, −1)
Answers
The location of point A''' after the three transformations would be (-4, 1).
To determine the location of point A''', we need to apply the three transformations (reflection over the y-axis, reflection over the x-axis, and rotation of 180°) to point A.
When a point is reflected over the y-axis, the x-coordinate is negated while the y-coordinate remains the same.
So, the reflection of point A (-4, 1) over the y-axis would be (4, 1).
When a point is reflected over the x-axis, the y-coordinate is negated while the x-coordinate remains the same. So, the reflection of point (4, 1) over the x-axis would be (4, -1).
When a point is rotated 180°, the x-coordinate and y-coordinate are both negated. So, the rotation of point (4, -1) by 180° would be (-4, 1).
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precalculus show all your work
Answers
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
Equation of transformed cosine wave:An equation for a transformed cosine wave with the following properties can be written in the form:
y = A× cos(B(x - C)) + D
Where:
A = amplitude (positive value)
C = phase shift (horizontal shift of the wave)
D = vertical shift (shift of the wave up or down)
Here we have
Amplitude = 3
Period = π
Horizontal shift = None
Vertical shift = 4 units up
As we know Period P = 2π/B
From the data => 2π/B = π
=> B = 2
Hence,
Equation for a transformed cosine wave, y = 3 × cos(2(x - 0)) + 4
=> y = 3 × cos(2(x )) + 4
=> y = 3cos2x + 4
Therefore,
The equation for a transformed cosine wave with the following properties is y = 3cos2x + 4
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A line that includes the point (-6, 10) has a slope of -7. What is its equation in point-slope form?
Answers
Answer:
y - 10 = -7(x + 6)
Step-by-step explanation:
Hope it helps!
the are of a rectangle is 259cm2 and its length is 18.5 cm .Find its breath
Answers
Answer:
A=L×B
259=18.5×B
295=18.5B
295/18.5=18.5B/18.5
8.595=B
Dеtеrmіnе tһе domain օf tһе fսnсtіօn f(х) = 2х + 1 ԝһеn tһе range іѕ {-3, 9, 15}.
Answers
x = -3 ==> 2(-3) + 1 = (-6) + 1 = -5
x = 9 ==> 2(9) + 1 = 18 + 1 = 19
x = 15 ==> 2(15) + 1 = 30 + 1 = 31
Domain = (-5, 19, 31)Erasers cost 45 cents a piece. Notebooks cost 90 cents a piece . Karla spent $18 for a total of 28 erasers and notebooks . How many did she buy ?
Answers
Answer:
12 Notebooks And 16 Erasers
Step-by-step explanation:
Let x represent the number of notebooks and y represent the number of erasers. (x+y=28) Then, input the cent numbers into the equation. (90x+45y=1800) The 1800 represents the amount of dollars spent. Then simplfy the equation, which gives you 12 notebooks and 16 erasers.
use multiplication to find all the whole number ratios equivalent to 5 to 11
Answers
Answer:
thxfor free points
Step-by-step explanation:
a grain silo is built from two right circular cone and a right circular cylinder with internal measurements represented by the figure below of the following which is closest to the volume of the grain silo in cubic
Answers
we have:
volume circular cone:
\(\begin{gathered} V=\frac{1}{3}\pi\cdot r^2\cdot h \\ V=\frac{1}{3}\pi\cdot5^2\cdot5 \\ V=\frac{1}{3}\pi\cdot25\cdot5 \\ V=\frac{125\pi}{3} \\ V=130.9 \end{gathered}\)volume circular cylinder:
\(\begin{gathered} V=\pi\cdot r^2\cdot h \\ V=\pi\cdot5^2\cdot10 \\ V=\pi\cdot25\cdot10 \\ V=250\pi \\ V=785.4 \end{gathered}\)therefore volume of silo is:
\(V=2\cdot130.9+785.4=261.8+785.3=1047.2\)answer: 1047.2 ft2
Is this right. Don’t know the difference between the stratified and systematic random. Pic below
Answers
The difference between the stratified and systematic random sampling is explained below.
Systematic random sampling is a method where every Kth person of the population is chosen to be part of the sample, whereas stratified random sampling is a method where the population is first divided into subgroups, and then drawing a simple random sample from each subgroup.
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Determine whether the function represents exponential growth or decay write the base in terms of the rate or decay identify r and interpret the rate of growth or decay y=12,500 (3/4)*
Answers
The rate of the decay of the given function is 75 percent.
The given function is y=12,500(3/4)ˣ
This function represents exponential decay with a base of (3/4). The rate of decay, "r", is equal to 3/4. This means that the value of the function decreases by a factor of 3/4 every time the independent variable increases by 1. Thus, the rate of decay is 3/4 or 75%.
Therefore, the rate of the decay of the given function is 75 percent.
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Calculate the circumference of a circle with a radius of 8 inches.
Answers
To calculate the circumference of a circle, you can use the formula:
\(\displaystyle C=2\pi r\)
Where \(\displaystyle C\) represents the circumference and \(\displaystyle r\) represents the radius of the circle.
Given that the radius \(\displaystyle r\) is 8 inches, we can substitute this value into the formula:
\(\displaystyle C=2\pi (8)\)
Simplifying the expression:
\(\displaystyle C=16\pi \)
Thus, the circumference of a circle with a radius of 8 inches is \(\displaystyle 16\pi \) inches.
Note: \(\displaystyle \pi \) represents the mathematical constant pi, which is approximately equal to 3.14159.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Please help!!
Thankyou!!
Answers
The scale factor is: 1.8
because of :
\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)
Calculate the acceleration produced by a bus moving with velocity of 72 km / hr to stop a distance of 50
Answers
As a result, the bus accelerates at a rate of -4 m/s2, and it travels 50 m after applying the brakes.
Find the acceleration ?Bus's initial speed was 72 km/h.
Bus's last speed is 0 km/h.
(Therefore, the bus driver stops)
Bus travel time, t=5 s
To Locate
Bus acceleration and the distance it travels before stopping once the brakes are applied
Solution:
Final velocity is v.
Initial velocity is u.
Acceleration is a.
It takes time.
displacement is s.
Considering that
u = 20m/s
v = 0 m/s
Bus acceleration should be "a"
When using the first law of motion on a bus, we obtain
Let d represent the bus's distance traveled after braking.
a = -4 m/s²
Thus, when we use the third equation of motion on a bus, we obtain
As a result, the bus accelerates at a rate of -4 m/s2, and it travels 50 m after applying the brakes.
d = 50 m
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The area of a bathroom floor measures 6 feet by 9 feet and each custom tile that makes up the flooring is 1 1/2 square feet. How many tiles are needed to cover the floor?
Answers
Answer:
Ddkdkdckkpooooooopppppp
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
Answers
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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A puppy and a kitten are 180 feet apart when they see each other. The puppy can run at a speed of 25 feet per second, while the kitten can run at a speed of 20 feet per second.
How long will it take the kitten to catch up to the puppy if the puppy runs away from the kitten, and the kitten simultaneously starts chasing the puppy?
Answers
Answer:
an infinitely long time
Step-by-step explanation:
You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.
NeverThe kitten runs slower than the puppy, so can never catch up to it.
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What transformation is represented by the function f(x)=2sin(x−π/2)
up 2
down 2
left π/2
right π/2
down π/2
Answers
Answer:
right π/2
Step-by-step explanation:
The function f(x) = 2sin(x - π/2) is a sine function with a period of 2π, an amplitude of 2, and a phase shift of π/2. The phase shift of π/2 causes the graph of the function to be shifted π/2 units to the right. .
Therefore, the correct answer is right π/2
What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
Answers
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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PLEASE ANSWER UNDER 5 MIN!!!! ily!!!!
what is the period of the sinusoidal function? enter your answer in the box.
Answers
Answer:
Step-by-step explanation:
10
Ws
Solve for x. Leave as an improper fraction. 5 = 3x + 9
Answers
Answer:
x = -4/3
Step-by-step explanation:
hope this helps^^
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the athlete scored 10 points. What is the z-score for the points scored in this game?
–2.02
–1.63
1.63
2.02
PLZZZZ HELP NEED HELP WILL VOTE 5 STARS PLZZZZ
Answers
Answer:
1.63
Step-by-step explanation:
A rectangle has a perimeter of 20 cm. What will the perimeter be if the rectangle tripled in size?
ITS A VOLUME QUESTION
Answers
Answer:
Step-by-step explanation:
Holding the perimeter fixed, the shape with greatest area is square ( all sides of the same) length) For your name example a square with a perimeter of 20 cm has sides of 5 cm and area of 5 times 4=20 cm) ^3 hope this helps