Consider the following graph of a quadratic function.

Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?

Part B: Which intervals have the greatest rate of change?

Part C: Which intervals have the least rate of change?

Part D: Name two intervals that have equal rates of change.

Answers

Answer 1

A graph can increase or decrease at an interval or several intervals

The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and de

Part A: How to determine the longest interval

The longest interval will have a great change in the y-values, and a small change in the x-values.

An instance of such interval is interval ab

Part B: Intervals with the greatest rate

Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.

Hence, intervals ab and de have the greatest rate of change

Part C: Intervals with the least rate

Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,

Hence, intervals ab and de have the least rate of change

Part D: Intervals with the equal rate

As said in (b) and (c),

Intervals ab and de have equal ratesIntervals bc and cd have equal rates

Read more about intervals and rates at:

https://brainly.com/question/23483858

Related Questions

What expression is equivalent to 4 to the power of 4 times 4 to the power of -9

Answers

4^4 * 4^(-9) = 4^(4-9) = 4^(-5) or 1/(4^5)

find the value of x using the triangle

Answers

X=13 is the awnser for this

Answer:

x=13

Step-by-step explanation:

See attached image. If you have any questions, let me know!

pleases help me! with my math hw!!! please do 2-26 evens only!!!! thx!! will give brainliest and extra points!!

Answers

I can’t read some of the questions but I got some.
4. 8*12=96 eggs
5. D
6. 190mm
7. 1/6 of a circle is shaded so 16.67%
8. 290
9. 500+2=502
10. 4700=(4*10^3)+(7*10^3)
23. 1240+186=1426
25. time would be 11:59 pm

5 find the missing length

Answers

Answer:

A i belive

Step-by-step explanation:

Write a quadratic function [tex]f[/tex] whose only zero is 12.

Answers

Answer:

f(x) = (x - 12)²

Step-by-step explanation:

If a quadratic function has only one zero, then it has multiplicity of two as it is a second degree polynomial and should have two roots. Since one root is a real number, the second root is also a real number being same as the first number.

The function could be:

f(x) = (x - 12)²

We know the rule for single zero of quadratic equations

[tex]\\ \sf\longmapsto g(x)=(x-n)^2[/tex]

[tex]\\ \sf\longmapsto g(x)=(x-12)^2[/tex]

Done

answer the equation please <33

Answers

Answer: Total cost = 4m

Step-by-step explanation:

Each meal is $4, so the total would be the number of meals times $4/meal: Total = 4m

Answer:

dₙ = (m-1)*4

Step-by-step explanation:

d1: initial dollar d1=0

dₙ = (m-1)*4

d₁ = (1-1)*4 = 0

d₂ = (2-1)*4 = 4

d₃ = (3-1)*4 = 8

NEED MORE HELP DUE TOMMOROW ONLY HAVE 15 POINTS SO ITS GOTTA BE 10 CUZ I GOT OTHER QUESTIONS THAT NEED ANSWERING

Answers

Answer:

a: 00:45

b: 7:30 PM

Step-by-step explanation:

Hope this is right

Let fat be the explanatory variable and calories be the response variable; which scenario best describes ŷ = 121 + 1.42x?
The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.
The amount of calories in a cheeseburger increases by 121 for every one gram of fat. The calorie amount estimated by this model is 1.42 if there are zero grams of fat.
The amount of fat in a cheeseburger increases by 121 grams for every one calorie.
The fat amount estimated by this model is 1.42 grams if there are zero calories.
The amount of fat in a cheeseburger increases by 1.42 grams for every one calorie.
The fat amount estimated by this model is 121 grams if there are zero calories.
The amount of calories in a cheeseburger increases by 1.42 when there are zero grams of fat.
The calorie amount estimated by this model is 121 if there is one gram of fat.

Answers

Using linear function concepts, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which represents by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem:

The explanatory variable fat is the input.The response variable calories is the output.

The equation is:

[tex]y = 121 + 1.42x[/tex]

The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at https://brainly.com/question/16302622

What is the equation of the line that passes through the point (-8,-7) and has a slope of 1?

Answers

Answer:

y = x + 1

Step-by-step explanation:

The square root of the sum of 69 and 31 is an/a_____?
A.Rational Number
B.Irrational Number
C.Both rational and irrational
D.Neither rational nor irrational

Answers

Answer:

A. Rational number

Step-by-step explanation:

If you add both 69 and 31 it will give you 100. The square root of 100 is 10 and therefore it is a rational number

which expression is equivalent to the given expression after using the distributive property? 9 + 5 + 7x² + 3x²y + 2x²

Answers

Answer:

9 and 5 I guess enjoy.

Step-by-step explanation:

and yeah no explanation

Find the value of X. Round the length to the nearest tenth.
A. 9.0 yd
B. 31.2 yd
C. 10.4 yd
D. 15.6 yd

Answers

Answer:

C. 10.4 yd

Cause why not?

Express the inequality using interval notation. PLEASE HELP DUE TONIGHT WILL GIVE BRAINLIEST

Answers

Answer:

Convert the inequality to interval notation.

(-∞, 0) ∪ (7, ∞)

The dimension of a cube are 3 x cm, 6xm 7xm. Then find the volume of the cube.

Answers

Answer:ce 6x^2=216

Step-by-step explanation:

since this is a cube, the length, width, and height are the same, so they can all be replaced with one variable, x. When simplified, the equation reads 6x^2=216

I HAVE MORE PLS HELP IT’S DUE TOMORROW

Answers

Answer 1:

[tex]y = \frac{9}{5} - \frac{6x}{5}[/tex]

Answer 2:

[tex]y = 3 - \frac{8(x+7)}{7}[/tex]

Note:

User stated an explanation was not needed.

Which method used to determine numbers of bacteria in a sample involves the preparation of a series of dilutions of the sample in sterile water, adding measured volumes of each dilution to melted nutrient agar plates, making pour plates, incubating, counting colonies, and multiplying colony counts by dilution factors to determine the number of bacteria in the sample

Answers

Answer:To obtain a readily counted and statistically accurate number of bacteria. When performing a standard plate count using the pour plate method, the dilutions are first made, and then measured aliquots of each dilution are cultured.

Step-by-step explanation:

Someone please help me with this problem! Will mark brainliest!

Answers

Answer:

I need a question, then I will help

Step-by-step explanation:

Where is the question at, I can help you with it easy.!

Solve for x. 3(x−7)=6(x−10) Enter your answer in the box. x =

Answers

Answer:

X = 13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

PLEASE HELP!! 50 POINTS!!! Multiply the polynomials (3^2 − 5 + 7) and (2^2 + − 2). Simplify the answer. Show your work.

Answers

Answer:

Your answer is 22

Step-by-step explanation:

(3^2-5+7) = 11

2^2+-2 = 2

So 11*2 = 22

Hope this helps

The sum of a number and seven more than the number is 43. What is the number?

Answers

Answer:

18 is the number good luck

Step-by-step explanation:

18+25=43

Answer:

18,25

Step-by-step explanation:

In a class of 25 students; 15 students like Mathematics, 6 like English and 4

like Spanish. Express as a fraction in its simplest form the students who like
Mathematics.

Help plz

Answers

1/2 because 25 out of 50 students like math
25/50 = 1/2

Answer:

3/5

Step-by-step explanation:

we got 15 students who like math in 25 student

the fraction is 15 over 25 , 15/25 , when you simplify by 5 the simplest form gonna be 3 over 5, 3/5

Help me with this pls!!!

Answers

Weight in pounds is shown on the x-axis (bottom) of the graph, and the cost is shown on the y-axis (side) of the graph.

We can see that 2 pounds of pineapples is roughly worth $2.50.

To find the cost of 1 pound of pineapple, divide the cost by 2 and we will get $1.25.

PLEASE HELP. WILL GIVE A BRAINLY. What is the range of the function?

Answers

Answer:

c is the correct option.

Step-by-step explanation:

The graph curves at y = -2 and above thus for the range of the graph is c.

3 in
3 in
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = 3 × 3 = 9

The perimeter = 2(3 +3) = 12

please give me a brainliest answer

Answer:

A= a^2, which is 9.

P= 4a, which is 12.

Mrs. Blake needs to hire a babysitter. Kelsey charges $6 per hour plus a $5 fee. Lauren charges $4 per hour, plus a $10 fee. Mrs. Blake set up this equation to figure out for what amount of time both babysitters charge the same.

6h + 5 = 4h + 10

What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.

Answers

Answer: The answer is B.

Step-by-step explanation: I took the test (:

Answer:

Step-by-step explanation:

1. How much simple interest is earned on $3,000 in 9 years at an interest rate of
4.5%?

Can anyone help please? This is due tomorrow and I don’t understand this

Answers

Answer:

I = $1,215

Step-by-step explanation:

Principal (P ) = $3,000

interest rate (R ) = 4.5% or 0.045

time (in years) ( t )= 9

Use the simple interest formula:

I = P × r × t

I = $3,000 × 0.045 × 9

I = $1,215

Therefore, the simple interest earned on a $3,000 investment after 9 years is $1,215.

easy one - giving brainly if correct!

Answers

Answer:

option 4 is the right answer

Answer:

The last option is right

Choose the ordered pair for point L.

Please help!! If you can, thanks so much :))

Answers

Answer:

The answer to the question is (2,-3).

May I please receive help?

Answers

Answer:

The answer is in the included image

Which measurement is equal to 24 kilograms

Answers

Answer:

24000 grams

Hard to explain. Hope this helped! Please give brainliest.

Answer:

yep

Step-by-step explanation:

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