What is the average rate of change for the function f(x)=3x^2 -5 on the interval −3 ≤ x ≤ −1 ?

Answers

Answer 1

Answer:

-12

Step-by-step explanation:

Let b = -1 and a = -3

The average rate of change = [tex]\frac{f(b) - f(a)}{b - a}[/tex]

f(b) = f(-1) = 3(-1)^2 - 5 = 3 - 5 = -2

f(a) = f(-3) = 3(-3)^2 - 5 =27 - 5 = 22

f(b) - f(a) = -2 - 22 = -24

b - a = -1 + 3 = 2

[tex]\frac{f(b) - f(a)}{b - a}[/tex] = -24/2 = -12


Related Questions

Solve the system of equations.

Answers

Answer:

x = 2, y = 1

Step-by-step explanation:

x + 3y = 5

3y = -x + 5

y = -1/3x + 5/3

-x + 6y = 4

-x + 6(-1/3x + 5/3) = 4

-x - 2x + 10 = 4

-3x = -6

x = 2

x + 3y = 5

2 + 3y = 5

3y = 3

y = 1

Marcia drew a quadrilateral with two pairs of parallel sides, four congruent
side lengths, and no right angles. Marcia's quadrilateral can be described as
a ?

Answers

Answer: rhombus but no a square

Step-by-step explanation:

how do you find the diameter for 10​

Answers

Answer:

fxigxitxiyxiyxigxitxitxoyc9ycitxoy

Step-by-step explanation:

xoyxitxitx9yc9yxigx9yx9yxogxigx8tx8t

Answer:

Step-by-step explanation:

If the circumference of the circle is 10 cm, then the diameter is 10 cm/π, or 3.18 cm. If you know the area of the circle, divide the result by π and find its square root to get the radius; then multiply by 2 to get the diameter.

The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?

Answers

Answer:

There won't be enough arrangement

Step-by-step explanation:

Given

[tex]Letters = 2[/tex]

[tex]Digits= 3[/tex]

[tex]Cars = 800000[/tex]

Required

Determine if the possible arrangement will be enough

The 2 letters can be selected from any of the 26 alphabets without restriction.

So, the selection of letters is:

[tex]Letters = 26 * 26[/tex]

The 3 digits can be selected from any of the 10 digits without restriction.

So, the selection of digits is:

[tex]Digits = 10*10*10[/tex]

The total arrangement is:

[tex]Total = Letters * Digits[/tex]

[tex]Total = 26*26*10*10*10[/tex]

[tex]Total = 676000[/tex]

By comparison:

[tex]Total < Cars[/tex]

i.e.

[tex]676000 < 800000[/tex]

Hence, the arrangement will not be enough

Find the area of the shaded sector

Answers

The best suitable option here is option D.

Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1

Answers

Answer:

y = -13x - 1

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

Step 1: Define

Identify variables

Slope m = -13

y-intercept b = -1

Step 2: Find Equation

Substitute in variables [Slope-Intercept Form]:                                                  y = -13x + -1Simplify:                                                                                                             y = -13x - 1

what is 2/3 of 1/2
WILL MARK AS BRAINLIEST​

Answers

Answer:

1/3

Step-by-step explanation:

2/3*1/2 =1/3

7 2/3-(1 2/4+3 6/8) PLS TELL ME THE RIGHT ANSWER!!!!!!!!

Answers

Answer:

The answer should be 29/12 or 2 5/12

What is the following product of the cube root of 16 X to the seventh times the cube root of 12 X to the ninth

Answers

Answer:

7

Step-by-step explanation:

hi I don't know what to do

What is the wall height for H??

Answers

Answer:

Step-by-step explanation:

Side "h" ( wall height ) is 35

To find:-

The height of the wall "h".

Solution:-

[tex]{\boxed{\mathcal{\red{The\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}}}}[/tex]

Step-by-step explanation:

[tex]\sf\purple{Using\:Pythagoras \:theorem, \:we\:have}[/tex]

[tex]( {Perpendicular})^{2} + ( {Base})^{2} = ( {Hypotenuse})^{2} \\ ➡ \: {h}^{2} + ({35 \: ft})^{2} = ({50 \: ft})^{2} \\ ➡ \: {h}^{2} + 1225 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ➡ \: {h}^{2} = 2500 {ft}^{2} - 1225 \: {ft}^{2} \\ ➡ \: {h}^{2} = 1275 \: {ft}^{2} \\ ➡ \: h \: = \sqrt{1275 \: {ft}^{2} } \\ ➡ \: h = 35.707\: ft \: \\ ➡ \: h = 35.71\: ft[/tex]

[tex]\sf\red{Therefore\:the\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}[/tex]

To verify :-

[tex]( {35.71 \: ft})^{2} + ( {35 \: ft})^{2} = ({50 \: ft})^{2} \\ ✒ \: 1275 \: {ft}^{2} + 1225 \: {ft}^{2} \: = 2500 \: {ft}^{2} \\ ✒ \: 2500 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ✒ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

what does the following expression mean?
7!

A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1

Answers

Answer: B

Step-by-step explanation:

A factorial is multiplying the integer and all of the integers below it together.

The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.

What is a factorial?

The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.

The expression 7! means 7 factorial which is expanded as,

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1

Hence, the correct option is B.

Learn more about Factorial:

https://brainly.com/question/16674303

#SPJ2

Answer by 11:59 today!!!

Answers

Answer:

x = 30

Step-by-step explanation:

These angles are all supplementary (they all add up to 180) so:

x + 3x + 2x = 180

6x = 180

x = 30

Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT

helpp someonee

Answers

Answer:

A and B

Step-by-step explanation:

A secant is a line which intersects a circle at 2 points

SU and RT both intersect the circle at 2 points and are secants

Answer:its SU

Step-by-step explanation:

ITS THE ONLY CORRECT ANSWER YALL

If on a triangle, angle A is 5x, B is 4X, and C is
3x, what is the measurement for each angle.

Answers

Answer:

A=75, B=60, C=45

Step-by-step explanation:

5x+4x+3x=180

12x=180

x=15

plug them in and get

A=5(15)=75

B=4(15)=60

C=3(15)=45

Find an equivalent ratio in simplest terms: 22:12 22:12

Answers

Answer:

11:6

Step-by-step explanation:

hope this helps :)

A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%

Answers

Answer:

180%

Step-by-step explanation:

Set up an equation:

Variable x = percent of markup

102.56/56.98 = x/100

Cross multiply

102.56 × 100 = 56.98 × x

10,256 = 56.98x

Divide both sides by 56.98:

179.99297.... = x

Round to nearest whole number:

180 = x

Check your work:

56.98 × 180%

Convert the percentage into a decimal:

56.98 × 1.80

102.564

Round to nearest cent:

102.56

Correct!

If Jayna's shuffler is working properly and randomizing the playlist after each song, what is the probability of playing a slow song?

ANSWER IS 33.33%​

Answers

Answer:

1 song is a slow song, 2 songs are not

Step-by-step explanation:

that would give you 1/3 probability = 33.3333333333333%

Dorian buys one 32-ounce can of purple paint witha red to blue ratio of 3 to 5. He buys a 25-ouncee can of a different shade of purple paintwith a red to blue ratio of 3 to 2. Dorian mixes the two cans together. What is the ratioof red paint to blue paint in Dorian's new mixture?

Answers

Answer:

9 : 10

Step-by-step explanation:

For 32 ounce- can

Dorian buys one 32-ounce can of purple paint with a red to blue ratio of 3 to 5.

The sum of proportion = 3 + 5 = 8

The number of ounces of red paint = 3/8 × 32-ounce = 12 ounces

The number of ounces of blue paint = 5/8 × 32-ounce = 20 ounces

For 25 ounce can

He buys a 25-ounce can of a different shade of purple paint with a red to blue ratio of 3 to 2.

The sum of proportion = 3 + 2 = 5

The number of ounces of red paint = 3/5 × 25-ounce = 15 ounces

The number of ounces of blue paint = 2/5 × 25-ounce = 10 ounces

Dorian mixes the two cans together.

The total ounces for red paint

= 12 ounces + 15 ounces = 27 ounces

The total ounces for blue paint

= 20 ounces + 10 ounces = 30 ounces

Hence, the ratio of red paint to blue paint in Dorian's new mixture is

Red : Blue

27 ounces : 30 ounces

9 : 10

u don’t have to explain

Answers

Answer:

6

Step-by-step explanation:

RQ=x

x/9=4/6

x=(9*4)/6

x=6

What is the graph of y = x2 + 6x + 13 ?
What does the graph look like

Answers

Answer:

If I entered it in correctly it would look something like this,,

The function f(x) is graphed below. what is f(1)?

Answers

Answer:

f(1) = - 3

Step-by-step explanation:

Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then

f(1) = - 3

Round 45.628 to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

45.6

Type the correct answer in the box. Round your answer to the thousandth place.
The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. They hire a consultant who uses a carbon footprint calculator to test the emissions level. The accuracy of the test is 85%.
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is
.

Answers

Answer:

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35

Accuracy of the test of emissions level = 85% = 0.85

2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?

These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:

Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65

Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)

Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:

0.65 * 0.2975 = 0.193375

The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place

MARK BRAINLIEST PLS

Please help A.S.A.P its due today!

Answers

Answer: Ok Here you go.

Step-by-step explanation:

Someone please help I'm horrible at math :(

Answers

Answer:

6

Step-by-step explanation:

The verticle line in the box is the median

A cylinder whose height is 5 meters has a volume of 320π cubic meters find the radius of the cylinder A.8m b.12.8m c.64m d.201m

Answers

The answer is 64 it’s just dividing the cubic meters by the meters

the sum of two rational numbers is -5 if one of the number is -13/6 find the other number​

Answers

Answer:

[tex]Let \ the \ number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\[/tex]

[tex]x = -5 + \frac{13}{6} = \frac{-30 + 13}{6} = -\frac{17}{6}[/tex]

The other rational number = -17/6

Answer:   -17/6

======================================================

Work Shown:

A = first rational number = -13/6B = second rational number = unknown

A+B = -5 ... since the sum of both is -5

B = -5-A

B = -5-(-13/6)

B = -5+13/6

B = -30/6 + 13/6

B = (-30+13)/6

B = -17/6  is the answer

---------------

Extra info:

This improper fraction converts to the mixed number -2 & 5/6

In decimal form, it's approximately equal to -17/6 = -2.833

2a2 + 3b2 + a2 + b2

Answers

hope this helps! …………..

Answer:

Solution given:

2a2 + 3b2 + a2 + b2

adding like terms

2a²+a²+3b²+b²

3a²+4b² is a required answer.

Determine the value of x in the diagram.

Answers

The answer to the question is 114

Gulliver tossed a coin 100 times and got 43 heads. What percent of the tosses where tails?

Answers

Answer:

53 %

Step-by-step explanation:

you have the percentage of 43% for heads and you subtract 43 from one hundred and you get 57%

Answer: 57%

Dont ask how but it is 57%

Im just like dat

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