Question
Find the average rate of change of the function f(x). given below, from x = -1 to x = 4.
f(x) = -x^3+5x^2

Answer:

Correct option: F.

Step-by-step explanation:

The slope of a line

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

To show the slope of PR is equal to the slope of RT, we'll use the extreme points of each segment.

For PR, use P=(-7,7) R=(-4,3). Now calculate the slope

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}[/tex]

For RT, use R=(-4,3) (2,-5). Calculate the second slope:

[tex]\displaystyle m=\frac{-5-3}{2-(-4)}[/tex]

If both slopes are equal, then:

[tex]\displaystyle m=\frac{3-7}{-4-(-7)}=\frac{-5-3}{2-(-4)}[/tex]

Correct option: F.

Answer:

square root: [tex]\sqrt{61}[/tex]

decimal: 7.81

Step-by-step explanation:

Answer:

The answer is it will cost $64.68.

Step-by-step explanation:

It is (11 x 6)$0.98

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} +\frac{3}{6}[/tex]

[tex]\frac{12}{30} +\frac{15}{30}[/tex]

[tex]\frac{27}{30}[/tex]

[tex]\frac{9}{10}[/tex]

Answer:

Sample size required is 267 people

Step-by-step explanation:

The explanation is given in the attachment below

Answer:

B

Step-by-step explanation:

Answer:

m= (c-d)/2

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

do the math

Least Greatest

1, 2, 3, 3, 4, 7, 9

Median: 3

Answer:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Step-by-step explanation:

Le x represents the set of new tires

Let y be the set of used tires

If a tire shop counted 80 invoices at the end of the month, then the equal that represents the total amount of invoices counted at the end of the month is:

[tex]x+y = 80 ............ 1[/tex]

If they charge $325 for a set of new tires, the total amount charged for new tires will be:

[tex]325 \times x \\325x[/tex]

If they charge $50 for a set of used tires, the total amount charged for used tires will be:

[tex]50 \times y\\50y[/tex]

If the total dollar amount of the invoices was $6,750, then the expression that models the amount generated on tickets will be:

[tex]325x+50y = 6,750 .............. 2[/tex]

Hence the system of equations represents the situation is:

[tex]x+y = 80\\325x+50y = 6, 750[/tex]

Answer:

x + y = 80

325x = -50y + 6,750

Step-by-step explanation:

Answer:

tnbrverwerbtnymu

Step-by-step explanation:

Answer:

THANK YOU SO MUCH !!!!

Keep an eye out for major points! The questions require you to think logically, and are really fun. Correct answers get brainlest! I am just earning more points then i will post.

Answer:

3

Step-by-step explanation:

X=12 Y=3^2

Y^2=3x3 Which equals 9 therefore it is 12-9 which equals 3

Answer:

I believe the answer would be 3.

Step-by-step explanation:

I hope this helps

Answer:

It already is in standard form

1.8*10^2

Answer:

1.8 x 10²(Standard form) = 180 (Real Number)

How to write in standard form?

The rules when writing a number in standard form is that first, you write down a number between 1 and 10, then you write × 10(to the power of a number)

How do you write 1.8 × 10² in standard form?

Answer:

10

Step-by-step explanation:

I hope this helps!

Answer:

Use the graph and table to answer the questions.

Which vehicle loses the most value each year?

Car

Which vehicle will lose all of its value first?

Car

If the truck’s rate of depreciation changes to a decrease of $1,650 each year, which vehicle will lose all of its value first?

Truck

Step-by-step explanation:

Answer:

car car truck

Step-by-step explanation:

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. The probability of at most 2 red cards is 0.5.

A common discrete distribution is used in statistics, as opposed to a continuous distribution is called a Binomial distribution. It is given by the formula,

P(x) = ⁿCₓ (pˣ) (q⁽ⁿ⁻ˣ⁾)

Where,

x is the number of successes needed,

n is the number of trials or sample size,

p is the probability of a single success, and

q is the probability of a single failure.

Using the given information the number of cards is 24 out of which 12 are red. Therefore, the probability of getting a red card is 0.5.

A) All red cards.

P(X=5) = ⁵C₅ (0.5⁵) (0.5⁰)

            = 0.03125

B.) at least two red cards.

P(X≥2) = 1 - ⁵C₀ (0.5⁰) (0.5⁵) - ⁵C₁ (0.5¹) (0.5⁴)

= 0.8125

C.)  At most 2 red cards.

P(X≤2) = ⁵C₀ (0.5⁰) (0.5⁵) + ⁵C₁ (0.5¹) (0.5⁴) + ⁵C₂ (0.5²) (0.5³)

           = 0.5

Learn more about Binomial Distribution:

https://brainly.com/question/14565246

#SPJ2

Answer:

x = 8

Step-by-step explanation:

3x - 5 = 2.5x + 3 - (x - 4)

open parentheis

3x - 5 = 2.5x + 3 - x + 4

3x - 5 = 1.5x + 7

subtract 1.5x from both sides of the equation

3x - 1.5x - 5 = 7

1.5x - 5 = 7

add 5 to both sides of the equation

1.5x = 7 + 5

1.5x = 12

divide both sides of the equation by 1.5

1.5x/1.5 = 12/1.5

x = 12/1.5

x = 8

Answer: 16 - C

Step-by-step explanation:

So basicly, what it is asking is to solve this problem. I would like to call it a puzzle because there is a missing part that we have to find. Let's get this started!

Here is the equaiton: 2 x (8 - C)

First, we will multiply 8 by 2.

8 x 2 = 16

Now the equation is: 16 - C

We don't know what C is, so this equation is as done as we can do it.

Answer:

T = Time = 3 years

Step-by-step explanation:

1 = PRT;

1 = Simple Interest = 5040

P = Principal = 24,000

R = Rate = 0.07

T = Time (years) = ? Unknown variable

Making T subject of the formula

T = 1/PR

T = 5040/24,000 × 0.07

T = 5040/1680

T = 3 years

Answer:

11/132 = 1/12

Step-by-step explanation:

just put the rise over the run and simplify

Answer:

Step-by-step explanation:

A larger set that a particular set can be a subset of is a Universal set. A universal set is parent where all other sets are derived from.

For example, given a universal set U = {1,2,3,4,5}, a set A = {1, 3, 5} is said to be a subset of the set U because the elements of set B are contained in the Universal set U.

Also, sets like {1, 4,5} and {3,4,5} can also be regarded as the subset of U since all the elements of the sets can be found in the Universal set U. Hence the correct name of the set is a UNIVERSAL SET

So, the number of maximum subsets we can create from the given set is 8.

The subsets of any set consists of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

Solution: Given, A = {1,2,3,4}

Subsets =

The subsets of any set consisting of all possible sets including its elements and the null set. Let us understand with the help of an example.

Example: Find all the subsets of set A = {1,2,3,4}

{}

{1}, {2}, {3}, {4},

{1,2}, {1,3}, {1,4}, {2,3},{2,4}, {3,4},

{1,2,3}, {2,3,4}, {1,3,4}, {1,2,4}

{1,2,3,4}

So, the formula is [tex]2^n[/tex].

The given set is,

[tex]A = \{1, 3, 5\}[/tex]

Here the number of an element is 3.

So, the maximum number of subsets we can create is,

[tex]2^n=2^3=8[/tex]

Learn more about the topic Subsets:

https://brainly.com/question/17514113

Answer:

Below

Step-by-step explanation:

The reason why "lower than" would be the correct answer is because the DMV (Department of Motor Vehicles) requires that all drivers drive lower than the posted speed limit when the weather is not god.

The reason why you should travel lower than the posted speed limit is because it will keep you and others safe of the road. Bad weather can lead to things like less traction, less vision on the road, and etc.

When you drive slower than the posted speed limit during based weather, you're allowing your self more time to react if something happens, less likely to lose grip, and keeps you and others safe from any accidents.

Like they always say, you should never travel at a speed that's dangerous for the current road conditions.

Answer:

Step-by-step explanation:

when there is a + in front of an expression in parentheses, the expression remains the same.

multiply the numbers. 4-2+15

calculate the sum

and u get 17!

Answer:

-15, -9, -3, 3

Step-by-step explanation:

First One:

y =3(-4)-3 is -15

Second:

y= 3(-2)-3 is -9

Third:

y= 3(0)-3 is -3

Last One:

y= 3(2)-3 is 3

Answer:

X>2

Step-by-step explanation:

X+5>7

X>2

×= 7+5=12

×=12

always add the the numbers and the letter is always the answer of what u have gotten.

Answer:

the 4 can change to any nummber

Step-by-step explanation:

Answer:

the anser is 36.6 gallos of weeding in the w

Step-by-step explanation:

Answer: -17/27

Step-by-step explanation:

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The greatest common factor can be found a number of ways. Easiest is to make use of your knowledge of multiplication tables and divisibility rules.

Here, the GCFs are ...

A 6 and 3 --- 3

B 30 and 36 --- 6

C 24 and 48 --- 24

D 60 and 88 --- 4

E 18 and 66 --- 6

F 72 and 84 --- 12

_____

Additional detail on finding the GCF

You can factor numbers to see which factors are common:

  60 = 2^2 × 3 × 5

  88 = 2^3 × 11 . . . . . . . so 2^2 = 4 is the GCF of 60 and 88

You can use the Euclidean algorithm:

  Divide the larger by the smaller and keep the remainder; Replace the larger with the remainder and repeat. If the remainder is zero, the divisor is the GCF.

  84/72 = 1 r 12

  72/12 = 6 r 0 . . . . 12 is the GCF of 72 and 84

Answer:

h(4) = -28

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

h(n) = -2n² + 4

h(4) is n = 4

Step 2: Solve

Answer:

Katie spent 29.2 minutes

Step-by-step explanation:

Given

Jasmine:

[tex]Distance = 5\ miles[/tex]

[tex]Rate = 8.4\ mins/mile[/tex]

Katie:

[tex]Distance = 4\ miles[/tex]

Rate = 1.1 mins/mile slower than Jasmine

Time spent by Jasmine:

[tex]Time = Distance * Rate[/tex]

[tex]Time = 5\ miles* 8.4mins/mile[/tex]

[tex]Time = 5* 8.4mins[/tex]

[tex]Time = 42\ mins[/tex]

Time spent by Katie:

[tex]Time = Distance * Rate[/tex]

We have that:

Rate = 1.1 mins/mile slower than Jasmine

So,

[tex]Rate = 8.4 - 1.1[/tex]

[tex]Rate = 7.3[/tex]

[tex]Time = 4 * 7.3[/tex]

[tex]Time = 29.2 \ mins[/tex]