Write an expression that represents the height of a tree that began at 6 feet and increases by 2 feet each year. Let y represent the number of years.

Answer:

Step-by-step explanation:

Part a

When the ball hits the ground  it has covered the height of zero meters so we replace h(t) with zero

[tex]h(t)=-5t^2+40t\\0=-5t^2+40t\\40t-5t^2=0\\5t(8-t)=0\\5t=0 \ \ \ , \ \ \ 8-t=0\\t=0 \ \ \ , \ \ \ t=8\\[/tex]

So it will take 8 seconds for the ball to hit the ground we another value

t = 0 seconds is when the ball was thrown and after 8 seconds the balls hits the ground

Part c

The ball reaches its maximum height when the velocity is zero.

So as this functions represents the displacement of the ball h(t) we differentiate it to get the velocity equation, so we differentiate h(t) with respect to t.

[tex]v=-10t+40[/tex]

so now we replace the velocity which is v with a zero because the ball reaches its maximum height when the velocity is zero.

[tex]0=-10t+40\\10t=40\\t=40/10\\t=4[/tex]

so now we insert the value of t = 4 into the equation of h(t) to get the height.

[tex]h(t)=-5t^2+40t\\h(4)=-5(4)^2+40(4)\\h(4)=-80+160\\h(4)=80\\[/tex]

so the maximum height of the ball is 80 meters.

Part d

The y-intercept of the graph is zero, and it represents that there is no initial height covered by the ball or the ball is actually thrown from already a height of x meters, as we can see from the equation the y-intercept is zero which means the height covered by the ball is 0 meters when time is zero.

So the point is actually at the Origin (0 , 0).

Part e

We can see that the origin (0 ,0) and (8,0) are the x-intercepts of the graph as  solved from part A

We can see that the stationary point or the maximum point is at (4,80) which means the maximum height of the ball is 80 meters when the time is 4 seconds as solved in part C

Graph attached.

Answer:

1. 180

2. x = 31

Step-by-step explanation:

1. the sum of the interior angles of every triangle is always 180

2. using what we know from problem 1, we can create an equation:

x + 10 + 2x - 5 + 2x + 20 = 180

add like terms: 5x + 25 = 180

subtract 25 from both sides: 5x = 155

divide both sides by 5: x = 31

Answer:

(6,41)

x=6

y=41

Step-by-step explanation:

I did it algebraically to solve for x and y, and I also graphed both of them and found the point where they intersect. It’s in the image below.

Hope this helps! :)

Answer........................

7

5

3

1

-1

Answer:

answer is 2.47

Hi there!

[tex]\large\boxed{f(2) = 2}[/tex]

Evaluate f(x) at x = 2 by substituting 2 for x:

f(x) = 3x - 4

f(2) = 3(2) - 4

f(2) = 6 - 4

f(2) = 2

Answer:

3.65 through 3.74

Step-by-step explanation:

Answer:

a lot

Step-by-step explanation:

If baseball team scored 5 more runs in its second game than its first. The team scored twice as many runs as the first game in the third game. The total number of runs in all three games was 29.Then 11 runs were scored in the second game

Two or more expressions with an Equal sign is called as Equation.

Let the runs scored by team in first game be x.

The team scored 5 more runs in its second game than its first.

x+5

The team scored twice as many runs as the first game in the third game.

2x

The total number of runs in all three games was 29

This we can write as x+x+5+2x=29

Add x variable terms

4x+5=29

Subtract 5 on both sides

4x=24

x=6

So the score in the second game will be x+5=6+5=11

Hence, 11 runs were scored in the second game

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Answer:

c= -1

Step-by-step explanation:

A negative number multiplied by another negative number equals a positive number, so c must be negative.  12 times 1 equals 12, so c must be -1.

Answer: All of thé above

Step-by-step explanation:

Answer:

The second and fourth options

Step-by-step explanation:

A function is where one the inputs have only one output. In this case all we have to do is look at the x value (x,y) and see when it goes 1,2,3,4 and that means there are no repeating x and in that case each input has only one output. If you look at the other ones they have a repeating x and that means the input has two outputs and therefore it isn't a function.

Answer:

4 ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

12÷3=4

Answer:the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19

Step-by-step explanation:

Step 1

Let price of  small box of tangerines be represented as x

and price of large box of tangerines be represented as y

Such that the equqtion for  Brenda who sold  12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as

12x + y = 151--------equation 1

and

the equation for Cody who  1 small box of tangerines and 3 large boxes of tangerines for a total of $68

x + 3y= 68-------equation 2

Step 2

12x + y = 151--------equation 1

x + 3y= 68-------equation 2

By eliminaton  methd multiply equation 2 by 12

x + 3y= 68-------equation 2 x (12)

12x + 36y=816 --------equation 3

Subtract equation 1 from equation 3

12x + 36y=816 --------equation 3

-12x + y = 151--------equation 1

35y=665

y=665/35 =19

 to get x  , we substitute the value of y=19 into equation2

 x + 3y= 68

x+ 3 x 19=68

x=68-57

x=11

Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19

Answer:

A) 10.6

Step-by-step explanation:

5w - 9 = 44

Add 9 to both sides.

5w = 53

Divide by 5.

w = 10.6

Answer: H

Step-by-step explanation:

7% of 21 is 1.47

Answer:

H. 1.47$ tax

Step-by-step explanation:

price of pants is 21 plus 7 percent tax

21/100=0.21

0.21 is 1 percent multiply by 7

1.47 dollars tax

Answer:

JUST DO IT!

Step-by-step explanation:

Motivation

Answer:

7 hours

Step-by-step explanation:

2 divided by 14

i hope this helped

Answer:

7 hours

Step-by-step explanation:

Answer:1.5 i think

Step-by-step explanation:

Answer:

the scale factor is 2/3

Step-by-step explanation:

to find the scale factor plug in values to [tex]\frac{new}{old}[/tex]

the new figure is the one in which the scale factor is applied to, and the old is the original figure

so for new take any side from the dilated figure, I will pick HI, the size is 4

for old use what is congruent to HI, so OL, which is 6

plug this into your fraction and you get 4/6

this simplifies to 2/3

Answer:

PAIN

Step-by-step explanation:

Answer:

(x - 4)(x + 4)(x - 1)(x + 1)

Step-by-step explanation:

Given

[tex]x^{4}[/tex] - 17x² + 16

Use the substitution u = x², then

u² - 17u + 16

Consider the factors of the constant term (+ 16) which sum to give the coefficient of the u- term (- 17)

The factors are - 16 and - 1, then

u² - 17u + 16

= (u - 16)(u - 1) ← replace u by x²

= (x² - 16)(x² - 1) ← both factors are difference of squares

= (x - 4)(x + 4)(x - 1)(x + 1)

Answer: -18

Step-by-step explanation: x4-17x2+16= -18

i am not completely sure but here. i hope this helps god bless

The slope is m=2 in the first picture. Can be done by rise/run.

The second graph has an undefined slope. Using rise/run would get the run value = 0 and that'd make the slope undefined because the denominator cannot be 0.

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x5x7x8x2÷8=?

yes there is a a correlation

f(x) = 4x + 60

slope = 4

y-intercept = 60

There is a correlation between the number of hours spent on studies and the score on music test.

As we increase the 0.5 hour on studying, then the music score increases by 2. The function which best fits the data for the correlation is y=60 + 4x

The slope and y-intercept of the plot indicate? that Y= score obtained in music test and X=number of hours spent on studying. The slope of the above equation represent the rate of increase in music score with respect to an increase in the number of hours spent on studying.

The y-intercept gives the music score when the number of hours spent on studying is zero.

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Answer:20,24,28,32

Step-by-step explanation:

Answer:

20, 24, 28, 32

Step-by-step explanation:

The sequence is counting by 4. Wasn't sure how many numbers you were looking for, but if you need more than what was given in the answer then keep counting up by 4.

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

Gradient = Coefficient of x = -1.

Answer:

yes because of the side-angle-side theorem

Step-by-step explanation: