These tables represent a quadratic function with a vertex at (0,3). What is the
average rate of change for the interval from x = 7 to x = 8?
х
Interval
у
3
0
1
2
-1
-6
Average rate
of change
-1
1-2
-3
1-2
-5
1-2
-7
1-2
-9
1-2
-11
O to 1
1 to 2
2 to 3
3 to 4
4 to 5
5 to 6
3
4
TTT
5
-13
-22
-33
6
Answers
Answer: -15
Step-by-step explanation:
The average rate of change for the interval from x = 7 to x = 8 is -15. The correct option is B.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since the quadratic function has a vertex at (0,3), the equation for the function can be written in vertex form as:
y = a(x - 0)^2 + 3
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola. Let's use the point (1, 2):
2 = a(1 - 0)^2 + 3
Simplifying this equation, we get:
a = -1
So the equation for the quadratic function is:
y = -x^2 + 3
Now we can use this equation to find the average rate of change between x = 7 and x = 8. The value of the function at x = 7 is:
y = -7^2 + 3 = -46
The value of the function at x = 8 is:
y = -8^2 + 3 = -61
The average rate of change between x = 7 and x = 8 is:
(y2 - y1) / (x2 - x1) = (-61 - (-46)) / (8 - 7) = -15
Therefore, the average rate of change for the interval from x = 7 to x = 8 is -15.
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Related Questions
Rico plots point K at [-2 1/2,4 1/2].which graph shows the location of point K
Answers
Answer: The 3rd answer on the graph
Step-by-step explanation:
Answer:177
Step-by-step explanation:
1x177=177
9x+6+4x-2x+1-15
What is the answer?
Answers
Answer: 3x - 8
Hope it helps!
Answer:
9 + 6 + 4 − 2 + 1 − 1 5
9x+{\color{#c92786}{6}}+4x-2x+{\color{#c92786}{1}}{\color{#c92786}{-15}}
9x+6+4x−2x+1−15
9 − 8 + 4 − 2
Step-by-step explanation:
13. Which of the following pairs of triangles can be proven congruent by ASA? B Х A. W . Х A 00 w B. C. w Y B A D. w
Answers
If g(x)= -3x+10, what is g(-5)?
Answers
Answer:
g(-5) = -5
Step-by-step explanation:
You replace x with -5.
-3(-5) + 10 = -15
-15 + 10 = -5
The answer is -5.
Answer:
I think 25
Step-by-step explanation:
_3×_5+10
15+10
25
if the interest earned was $55.20 on an investment of $230 that has a rate of 3%, how long was the money invested?
Answers
Answer:
8 years
Step-by-step explanation:
The time period such that interest earned was $55.20 on an investment of $230 has a rate of 3% will be 8 years.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific time.
Unlike compound interest, which adds the interest from the principal of prior years to determine the interest of the following year, the principal amount in simple interest remains constant.
As per the given,
Principle amount P = $230
Rate of interest R = 3 %
Interest earned = $55.20
It is known that.,
Interest earned = PRT/100
55.20 = (230 x 3 x T)/100
(55.20 x 100)/(230 x 3 ) = T
T = 8 years
Hence "The time period such that interest earned was $55.20 on an investment of $230 has a rate of 3% will be 8 years".
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z=5x- 11y
can someone please help
Answers
Answer:
z+11y/5 = x
Step-by-step explanation:
Since you are solving for x, you want to isolate the variable. You do that by adding 11y to both sides, which cancels out the -11y. From that you should have z+11y = 5x. To cancel out the 5x you need to divide both sides by 5 to get z+11y/5 = x. Hope this helps :)
I need help with this question
Answers
Answer:
4
Step-by-step explanation:
Go to where it says -8 on the y-axis then rise 4 and run 1
What is the product of -67 over or divided by 7. What 's the answer?
Answers
Answer:
-9.57
Step-by-step explanation:
A group of friends were working on a student film. They spent $712 on costumes, which was 89% of their total budget. What was the total budget for their student film?
Answers
Answer:
800
Step-by-step explanation:
you divide 712 by .89
Which phrase describes how to divide a complex number z by r(cos θ + i sin θ)?
Scale by a factor of StartFraction 1 Over r EndFraction and rotate clockwise by θ.
Scale by a factor of r and rotate clockwise by θ.
Scale by a factor of StartFraction 1 Over r EndFraction and rotate counterclockwise by θ.
Scale by a factor of r and rotate counterclockwise by θ.
Answers
Answer:
its a
Step-by-step explanation:
The phrase is Scale by a factor of 1 /r and rotate clockwise by θ.
What is complex number?Complex numbers are numbers that consist of two parts — a real number and an imaginary number.
Given:
z=r(cos θ + i sin θ)
So, to divide a complex number the best phrase to describe is Scale by a factor of 1 /r and rotate clockwise by θ.
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7n + 5 =68.... how to solve this problem and show my work
Answers
Answer:
n=9
Step-by-step explanation:
7n+5=68 Subtract 5 on both sides.
-5 -5
7n=63 Divide both sides by 7.
/7 /7
n=9
Hope this helps! Have a nice day ^^
Answer:
n = 9
Step-by-step explanation:
1) Move similar terms to one side. Here we are moving the 5 over to the side with 68 by subtracting it. We also have to subtract 5 from the other side too (what you do to one side you must do to the other)
7n + 5 = 68
- 5 -5
7n = 63
2) Isolate the variable. We do this by dividing the 7 from 7n. We also have to divide 7 from other other side too.
7n = 63
/7 /7
n =9
What do you call a female bug that floats?
Answers
Answer:
A buoyant girl ant
Step-by-step explanation:
Mr Mr Alam use 3/5 kg of flour to bake a cake use 1/2 kg less flour to bake some cookies how many kilograms of flour did he used to beat the cookies
Answers
Given:
Flour used to bake a cake = [tex]\dfrac{3}{5}[/tex] kg
He use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.
To find:
The quantity of flour he used to bake the cookies.
Solution:
Mr. Alam use [tex]\dfrac{3}{5}[/tex] kg kg of flour to bake and cake and use [tex]\dfrac{1}{2}[/tex] kg less flour to bake some cookies.
Quantity of flour he used to bake the cookies is
[tex]\text{Required Flour}=\dfrac{3}{5}-\dfrac{1}{2}[/tex]
[tex]=\dfrac{6-5}{10}[/tex]
[tex]=\dfrac{1}{10}[/tex]
Therefore, he use [tex]\dfrac{1}{10}[/tex] kg flour to bake some cookies.
What is the place value of 3 of 652.4397. N Place Value: Select an answer Select an answer Get help: Vi tenths Points possible hundredths This is attemp Post this questhousandths ten thousandths Submit . hundred thousandths
Answers
Answer:
100 thousandths
Step-by-step explanation:
Check the picturee need helppp
Answers
Please help as soon as possible 50 points
Answers
Answer:
the answer is d. 4x²+x-6
Step-by-step explanation:
In order to combine the fractions, they need to have the same denominator.
So, multiply each of their numerators by the denominator they need to be equivalent.
This would look like this:
3x/x+3 --> 3x(x)/x(x+3) ---simplify this as--> 3x²/x(x+3)
x-2/x --> (x-2)(x+3)/x(x+3) ---simplify this as --> x²+x - 6/x(x+3)
3x 3x(x) x-2 (x-2)(x+3)
----- ---> ----- and -------- ---> ---------
x+3 x(x+3) x x(x+3)
now that both fractions have the same denominator, we can add their numerators.
3x² + x²+x-6 = 4x²+x -6
This should now look like this:
4x²+x -6
-------------
x(x+3)
Which angles are adjacent angles to 3? Select all that apply
Answers
Two Answers: Angle 1, Angle 4
Adjacent angles share a common segment, line, or ray. Think of two adjacent rooms sharing a common wall.
You work at a frozen yogurt shap during the summer. You need to order 5-ounce and 8-ounce cups. The storage room will only hold 10 more boxes. A box of 5-ounce cups costs $100 and a box of 8-ounce cups costs $150, A maximum of $1200 is budgeted for yogurt cups. A. Write a system of linear inequalities that shows the number of boxes of 5-ounce and 8- ounce cups that could be bought. B. Graph the system. C. Name a combination of 5- and 8-ounces boxes of cups that could be bought.
Answers
Answer: 100f + 150e = 1250
Step-by-step explanation:
Subtract the 1st from the 2nd to solve for e:
50e = 250
e = 5 boxes (# of boxes of eight-once cups)
f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)
6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.
The room can only hold 10 more boxes, hence:
x + y ≤ 10 (1)
A maximum of $1200 is budgeted for yogurt cups. Hence:
100x + 150y ≤ 1200 (2)
Plotting the graph of the inequality, the solution is at (6, 4)
Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.
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A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is its value after 7 years?
a. 5,226.
b. 5,126.
c. 0.
d. 5,026.
Answers
Answer:5326
Step-by-step explanation:
A=Pe^rt
Determine the domain of functions
What is the domain of h?
Answers
Answer:
What is the domain of h?
See attached!
Step-by-step explanation:
What number is 45% less than 80?
Answers
Answer:
44
Step-by-step explanation:
Find 10% of 80 = 8
Multiply by 5.5 because 10-4.5
get = 44
Answer:
45% less than, or 45% of 80 would be 36.
Step-by-step explanation:
pls mark brainliest
What is 9999 x 4568=
Answers
Answer:45675432
Step-by-step explanation:
Answer:
Hey buddy, here is your answer hope it helps you..
Step-by-step explanation:
9999 x 4568=45675432
Write the standard form of the line that contains a slope-intercept of 1/2 and a y -intercept of 3. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
Answers
[tex]\huge\boxed{x-2y=-6}[/tex]
Hey there! We can solve this problem by setting up the equation in slope-intercept form and changing it into standard form.
(I'm assuming that the problem meant the slope is [tex]\frac{1}{2}[/tex].)
[tex]\begin{aligned}y&=mx+b&&\smash{\Big|}&&\text{Start with slope-intercept form.}\\y&=\frac{1}{2}x+3&&\smash{\Big|}&&\text{Substitute in the known values.}\\-\frac{1}{2}x+y&=3&&\smash{\Big|}&&\text{Move the variables to the left.}\\x-2y&=-6&&\smash{\Big|}&&\text{Multiply everything by $-2$.}\end{aligned}[/tex]
Can you help with these problems please
Answers
Answer:
[tex]\boxed{y = m(x - x_{1}) + y_{1}}[/tex]
Step-by-step explanation:
[tex]if \: m = \frac{y- y_{1}}{x - x_{1}} \: the \: \boxed{y} \: sgivn \: by \to \\ y - y_{1} = m(x - x_{1}) \\ \boxed{y = m(x - x_{1}) + y_{1}}[/tex]
♨Rage♨
Can someone help? I don't really understand this question...
Answers
7 1/2 x 4 = 7 4/8
7 4/8 - 5 5/8 = 1 7/8
Gordon types 2,320 words in 29 minutes. Find the unit rate.
Answers
Answer: PLZ MARK BRAINLIEST
the answer is 80 words/minute
Step-by-step explanation:
Divide 2,320 by 29
Answer:
80 words per min
Step-by-step explanation:
If a train traveled at 50 meters within 120 seconds, what is its speed?
Answers
Answer:
v = 0.416 m/s
Step-by-step explanation:
Give that,
Distance covered by a train, d = 50 m
Time taken, t = 120 s
We need to find the speed of a train. The formula for speed of an object is equal to the total distance covered divided by total time taken. It can be given by :
[tex]v=\dfrac{d}{t}\\\\v=\dfrac{50\ m}{120\ s}\\\\v=0.416\ m/s[/tex]
So, the speed of a train is 0.416 m/s.
Find the slope using the formula.
(-2,-9) and (-6,-6)
Answers
Answer:(3,-4) you just have to follow the equation.
Slope = change in y over change in x.
Slope = (-6 - -9) / (-6 - -2)
Slope = (-6 + 9) / (-6 + 2)
Slope = 3/-4
Slope = -3/4
Out of 1,200 students surveyed, 92% of them like country music. How many students like rap music?
Answers
Answer:
96
Step-by-step explanation:
1200*92=110400/100=1104
1200-1104=96
Answer:
1152 students like rap just take the numbers n divide
Determine if the two lines y=2x-3/2 and y=-2x+2/3 are parallel, perpendicular or neither