Describe how to determine the average rate of change between x = 2 and x = 5 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answer:

Area = 4x^2 + 12x + 9

Perimeter = 8x + 12

Step-by-step explanation:

Answer:

WT = 63

Step-by-step explanation:

Given Δ SDE is similar to Δ SWT then the ratio of corresponding sides are in proportion, that is

[tex]\frac{WT}{DE}[/tex] = [tex]\frac{ST}{SE}[/tex] , substitute values

[tex]\frac{5x+3}{56}[/tex] = [tex]\frac{4x-3}{40}[/tex] ( cross- multiply )

56(4x - 3) = 40(5x + 3) ← distribute parenthesis on both sides

224x - 168 = 200x + 120 ( subtract 200x from both sides )

24x - 168 = 120 ( add 168 to both sides )

24x = 288 ( divide both sides by 24 )

x = 12

Then

WT = 5x + 3 = 5(12) + 3 = 60 + 3 = 63

Answer:

1) -3/4

2) (6, 0), (0, -4)

3) connect (0,-2) and (8,0) together

Step-by-step explanation:

1) (-2) - (-5) / (-1) - 3 = -3/4

2) x = 0 -3y=12 y = -4, y= 0 2x =  12 x = 6, x intercept = (6, 0) y intercept = (0, -4)

3) x - 4y = 8 this could be written as y = x/4 - 2 and y intercept is (0, -2) and x intercept is (8, 0) so connect these points together and make a line

#1

#2

Inetercept form x/a+y/b=1

x inetercept at 6 and y intercect at -4

#3

Graph attached

Answer:

(cotA − 1) (cotB − 1) = 2

Step-by-step explanation:

A+B= π/4 = 180°/4 = 45°

A+B=45°

∴ cot(A+B)=cot45°

∴ cotBcotA−1 / (cotB+cotA) = 1

⇒cotB + cotA = cotBcotA = 1

⇒cotB + cotA − cotBcotA + 1 = 0

⇒cotBcotA − cotB − cotA − 1 = 0

⇒cotBcotA − cotB − cotA − 1 + 2 = 0+2

⇒cotBcotA − cotB − cotA + 1 = 2

⇒cotB(cotA − 1) (cotA − 1) = 2

⇒(cotA − 1) (cotB − 1) = 2

Proved

Answer:

Step-by-step explanation:

You have 2 sides given in a right triangle. You can make an equation that will solve for x. In fact the tangent will do. There's no need to solve for the third side.

Tan(x) = opposite / adjacent

opposite = 39

adjacent = 76

Tan(x) = 39/76

Tan(x) = 0.5132

When finding an angle, you need to use the inverse tan.

x = tan-1(0.5132)    Use 2nd function tan(x)

x = 27.16 degrees.

Step-by-step explanation:

first we need the length of the Hypotenuse (UW).

Pythagoras :

c² = a² + b²

with c being the Hypotenuse (the side opposite of the 90 degree angle).

UW² = 76² + 39² = 5,776 + 1,521 = 7,297

UW = sqrt(7297) = 85.42247948...

now we get x from the law of sine :

sinA/a = sinB/b = sinC/c

with the angles always being opposite of the sides.

so, we have

sin(x)/39 = sin(90)/sqrt(7297) = 1/sqrt(7297)

sin(x) = 39/sqrt(7297) = 0.456554296...

x = 27.16498506...° ≈ 27.2°

we could have done it without the Hypotenuse first.

as the angle W is 90-x

sin(x)/39 = sin(90-x)/76 = cos(x)/76

sin(x)/cos(x) = 39/76 = tan(x) = 0.513157895...

x = 27.16498506...° ≈ 27.2°

as expected, it is precisely the same result.

Answer:

Look at images below ^^

Step-by-step explanation:

I'm not sure if they are correct, since I'm not there yet. But I hope it's correct.

Answer:

255,340,000(1.61)= $411097400

Step-by-step explanation:

multiply the total amount of bottles by $1.61, since it costs $1.61 per bottle.

Answer:

y=7

Step-by-step explanation:

Answer:

$8x + $12y = $120

Step-by-step explanation:

x = amount of juice

y = amount of pizza

$120 = his total money

[tex]\dfrac{\sqrt[3]{343}}{\sqrt[3]{-343}}=\dfrac{\sqrt[3]{343}}{-\sqrt[3]{343}}=-1[/tex]

Step-by-step explanation:

OK so

Tomatoes = 2 3/8 = 19/8 (turned into improper fraction)

Asparagus = 1 1/4 =5/4

Potatoes = 2 7/8 = 23/8

Total vegetables used =

19/8 + 5/4 + 23/8 = 42/8 + 5/4 = 42+10/8 =52/8

Answer is 52/8 = 6.5

Answer : 52/8 pounds were used altogether

See picture for solution.

Answer:

14,001

Step-by-step explanation:

old machine: 1,100+.12x

new machine: 1,520+.09x

if you plug in 14,000 for x, you get

old machine: 2,780

new machine: 2,780

therefore, you need 1 over 14,000 for it to be worth it because

if you plug in 14,001 for x, you get

old machine: 2,780.12

new machine: 2,780.09

which makes the new machine $.03 cheaper at this point (and the more snaps attached, the more the new machine will be worth it)

hope this helps!

Answer:

Definetly t = 4n

Answer:

use pemdas(order of the operations)and you'll get the answer 27!!

Step-by-step explanation:

Answer:

Step-by-step explanation:

=> x + 3x + 3y + 3z = 21

=> 4x + 3y + 3z = 21

=> 4x + 3y + 3z - 3y = 21 - 3y

=> 4x + 3z = 21 - 3y

=> 4x + 3z - 3z = 21 - 3y - 3z

=> 4x = 21 - 3y - 3z

[tex] = > \frac{4x}{4} = \frac{21 - 3y - 3z}{4} [/tex]

[tex] = > x = \frac{21 - 3y - 3z}{4} (ans)[/tex]

Given :

To Find :

Solution :

[tex]\qquad { \dashrightarrow \: { \sf{x + 3x + 3y + 3z = 21}}}[/tex]

Adding the like terms :

[tex]\qquad { \dashrightarrow \: { \sf{4x + 3y + 3z = 21}}}[/tex]

Transposing 3y to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{4x + 3z = 21 - 3y}}}[/tex]

Now, Transposing 3z to the other side which then becomes negative :

[tex]\qquad { \dashrightarrow \: { \sf{4x = 21 - 3y - 3z}}}[/tex]

Dividing both sides by 4 :

[tex]\qquad { \dashrightarrow \: { \sf{ \dfrac{4x}{4} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]

[tex]\qquad { \dashrightarrow \: { \sf{{x} = \dfrac{21 - 3y - 3z}{4} }}}[/tex]

Therefore, the value of x = 21 – 3y – 3z/4

The inequality which represents the constraints of the range is D. p(m) ≥ -875

Since the PTA was doing fundraiser and bought 500 megaphones to sell for the pep rally, and the profit, p, from the sale of megaphones can be represented by p(m) = 3.5m - 875 where m = number of megaphones sold.

To find the inequalities represents the constraints of the range of p(m), we need to know the domain of m.

Since we have 500 megaphones and we can sell from 0 to 500 inclusive. So, the domain of m is 0 ≤ m ≤ 500.

To determine the range of p(m), we insert the values of m at its extreme points into p(m).

So, when m = 0

p(m) = 3.5m - 875

p(0) = 3.5(0) - 875

p(0) = 0 - 875

p(0) = -875

when m = 500

p(m) = 3.5m - 875

p(500) = 3.5(500) - 875

p(500) = 1750 - 875

p(500) = 875

Since for a profit, m ≥ 0. So, p(m) ≥ p(0) = -875

So, p(m) ≥ -875

So, the inequality which represents the constraints of the range is D. p(m) ≥ -875

Learn more about inequalities here:

https://brainly.com/question/17457213

The simulation design could she use to estimate the probability is

Number cube

Let 1, 6 = literature

Let 2, 5 = fiction

Let 3, 4 = poetry

Roll the cube three times. Repeat.

Simulation is the process of creating a model or representation of a real-world system or process and conducting experiments with the model to observe how it behaves or performs under different conditions.

We have,

This simulation design assigns each book in the teacher's collection a unique number from 1 to 6, with literature books assigned the numbers 1 and 6, fiction books assigned the numbers 2 and 5, and poetry books assigned the numbers 3 and 4.

Rolling a number cube simulates the teacher randomly selecting a book each day, and repeating this process three times allows for the estimation of the probability that three consecutive selections will be literature books.

This simulation design is appropriate because it accurately represents the probabilities of selecting literature, fiction, and poetry books from the teacher's collection and allows for repetition to simulate multiple days of book selections.

Thus,

The simulation design could she use to estimate the probability is

Number cube

Let 1, 6 = literature

Let 2, 5 = fiction

Let 3, 4 = poetry

Roll the cube three times. Repeat.

Learn more about simulations here:

https://brainly.com/question/16670333

#SPJ7

Answer:

15.7 cm to nearest 10th

Step-by-step explanation:

Circumference = 2 pi r = 2 pi 2.5

= 5 * pi

= 15.708 cm.

Answer:

See below

Step-by-step explanation:

Dilation of 4

Z (0, -1) Z' (0, -4)

X (1, -1) X' (4, -4)

Answer:

carbon take x(1)+4(-2)=0

x(1)-8=0

x(1)=8

x=8

Answer:

I’d say 84.68%

Answer: It is D

Step-by-step explanation:

Answer:

0.3 recurring so 0.33333333333333333333333333333333333333

and....

__________________________________________________________

How to Overcome Insecurity

Step 1

The first step of Voice Therapy involves vocalizing your self-critical thoughts in the second person.You can also write down these thoughts.

Step 2

In the second step, you can start to think and talk about the insights and reactions you have to exposing these mean thoughts.

Step 3

People often struggle with the third step of this process, because it involves standing up to long-held beliefs and insecurities about oneself. You will answer back to your voice attacks, expressing your real point of view.

Step 4

In step five of Voice Therapy, you start to make a connection between how the voice attacks are influencing your present-day behaviors.

Step 5

The final step involves making a plan to change these behaviors. If insecurity is keeping you from asking someone on a date or going after a promotion, it’s time to do the actions anyway. If you’re indulging in self-hating thoughts that encourage you to engage in self-destructive behaviors, it’s time to interrupt these behaviors and unleash the real you.

Hope it help and if it did please give brainliest

Stay safe and healthy

Thank You

So basically what you have to do is first identify all of the sides or angles that equal eachother then you can see if you did a side side and side in a row etc, like 44 would be SAS because the vertical angles would be inbetween the two sides. 46 would be SSS because after you make the line in the middle for reflexive property you can see that there are three sides in a row. If this didnt help i recommend looking on Khan Academy

Answer:

C 43

Step-by-step explanation:

happy holidays

Answer:

Since the two triangles are similar, the two medians AC and FH are in proportion. The proportionality rate is [tex]k=\frac{48}8=6[/tex]. That is the same ratio of the sides., so AD is k times the corresponding side FG, or [tex]\overline {AD} = k\overline{FG} = 6\times 9 = 63[/tex]

Answer:

p=2,-16

Step-by-step explanation:

move all terms to left side and set equal to zero. then set each factor equal to zero

Answer:

Freezer B has 8 more cubic feet than Freezer A.

Step-by-step explanation:

Volume of Freezer A = 8 * 4 * 2 = 64 ft^3.

Volume of Freezer B = 6 * 4 * 3 = 72 ft^3.

72 - 64 = 8 ft^3.

Answer:

Freezer B has 8 more cubic feet than Freezer A.

Step-by-step explanation: