What is the equation of the line

Answer:

The answer is 1.13;29.25

Step-by-step explanation:

Answer: The ball reaches its maximum height in 1.13 seconds. b) The ball's maximum height is 30.25 feet.

This sort of problem is solved easily by a graphing calculator.

a) The ball reaches its maximum height in 1.13 seconds.

b) The ball's maximum height is 30.25 feet.

_____

Since you want to know when and where the peak value of the function occurs, it is convenient to put it into vertex form.

 h = -16(t² -(9/4)t) + 10

 h = -16(t² -(9/4)t +(9/8)²) +10 +16(9/8)²

 h = -16(t -9/8)² + 10 + 81/4

 h = -16(t -9/8)² + 30 1/4

The vertex of the function is (9/8, 30 1/4) ≈ (1.13, 30.25).

h = -16t^2 + 36t + 9

At maximum height h' = 0,

h' = -32t + 36 = 0

32t = 36

t = 36/32 = 1.13 s.

Maximum height = -16(1.125)^2 + 36(1.125) + 9 = 29.25 ft

Answer is option d (1.13 s, 29.25 ft)

The answer is 1.13;29.25

Answer:

-2/7

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

m = (8-0)/(-14-14)

   = 8/-28

   = -2/7

Answer:

y = 7/2x - 9/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - 6 / 1 - 3

-7 / -2

7/2

y = 7/2x + b

-1 = 7/2(1) + b

-1 = 7/2 + b

-9/2 = b

Answer:

6(³√5)

Step-by-step explanation:

³√24×45=6(³√5)

The Answer: C I did this yesterday

Step-by-step explanation:

Answer:

Step-by-step explanation:

distance between center and (1,-2) is

[tex]d=\sqrt{(1-(-3))^2+(-2-1)^2} \\=\sqrt{16+9} \\=5>4\\[/tex]

distance of the point from the center>radius of circle.

So it lies outside the circle.

Answer:

i think the function is 7

Step-by-step explanation:

Answer:

[tex]27a^{3} +27a^{2}b+9ab+b^{3}[/tex]

Step-by-step explanation:

[tex](3a+b)(3a+b) = 9a^{2}+6ab+b^{2}\\(9a^{2}+6ab+b^{2})(3a+b) = 27a^{3} + 27a^{2}b +9ab^{2} +b^{3}[/tex]

Answer:

Step-by-step explanation:

9a^3+18a^2b+9ab^2+b^2

The solution is Option C.

The graph which represents the inequality equation is

f ( x ) = { 0.50 , if x < 3

             1       , if 3 ≤ x < 6

             1.50  , if 6 ≤ x < 9

             2.00 , if 9 ≤ x < 12 }

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the number of years be = x

Let the increment in wages be = y

Now , the equation will be

For the employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour

So , the inequality equation is x < 3 , f ( x ) = 0.50

Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00

So , the inequality equation is 3 ≤ x < 6 , f ( x ) = 1

Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour

So , the inequality equation is 6 ≤ x < 9 , f ( x ) = 1.50

Employees of at least nine years, but less than twelve years receive an increase of $2.00

So , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

Therefore , the graph which represents the solution is Option C.

Hence , the inequality equation is 9 ≤ x < 12 , f ( x ) = 2

To learn more about inequality equations click :

https://brainly.com/question/11897796

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15/25= y/30

y= 3/5×30

y= 3×6

y=18

THE ANSWER IS Y=18

Answer:

y = 6

Step-by-step explanation:

One way of doing this problem is to start by reducing the first fraction, 5/25, obtaining 1/5.  Then

 1       y

---- = -----

  5    30

Through cross-multiplication, we get 5y = 30, or y = 6

Answer:

1/x^4

Step-by-step explanation:

Answer:

Ms. Lesure is going to need to buy 4 pizzas for Mr. Shows Interactions A class. The boys would eat 20 slices and the Girls in total will eat 12 slices. In total you'll need about 32 slices and 32 divided by 8 is 4.

Step-by-step explanation:

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

[tex]Height = 18, Slant = 30, Length =24[/tex]

Scaled:

[tex]Height =6, Slant=10, Length=8[/tex]

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

[tex]Scaled = \frac{1}{3} * Original[/tex]

Hence, the perimeter is:

[tex]Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)[/tex]

Answer:

Rotate 90' clockwise Centre (-2, -2)

if you mean A onto B

Answer:

Step-by-step explanation:

Marked Price = 130% of cp

= 1.3 x 550

= 715

Selling price = 80% of mp

= 0.8 x 715

= 572

% change in price =

[tex] \frac{572 - 550}{550} \times 100 = 4[/tex]

4%

Answer:

With respect to air, the refractive indices of water and benzene are 1.33 and 1.50 respectively

Answer:

option B

Step-by-step explanation:

[tex]\lim_{x\to \infty} f(x) = \lim_{x \to \infty} (log(x+2)-3 )[/tex]

                    [tex]= \lim_{x \to \infty} ( log(x+2)) - \lim_{x \to \infty} 3\\\\=\infty - 3\\\\= \infty[/tex]

[tex]\lim_{x \to 2} f(x) = \lim_{x \to 2} ( log(x+2)) - \lim_{x \to2} 3\\\\[/tex]

                 [tex]= log( 2 + 2 ) - 3\\\\= log 4 - 3\\\\=log(2^2) -3\\\\=2 log 2 -3[/tex]

[tex]\lim_{x \to -2} f(x) = \lim_{x \to -2} ( log(x+2)) - \lim_{x \to -2} 3\\\\[/tex]  [tex]\lim_{x \to -2}_+ f(x) = \lim_{x \to -2_+} ( log(x+2)) - \lim_{x \to -2_+} 3 = -\infty\\\\\lim_{x \to -2_-} f(x) = \lim_{x \to -2}_- ( log(x+2)) - \lim_{x \to -2}_- 3 = -\infty\\\\\\\lim_{x \to -2} f(x) = - \infty[/tex]

X = 21

Y = 30

X:

(3x - 15) + (6x + 6) = 180 -- combine like terms

9x - 9 = 180 -- add 9 to both sides

9x = 189

x = 21

Y:

Plug x into 3x-15

3(21) - 15 = y + 18

63 - 15 = y + 18

48 = y + 18 -- subtract 18 from both sides

y = 30

Answer:

y=x +10

Step-by-step explanation:

answer is in photo above

Answer:

y = 1x + 10

Step-by-step explanation:

y2 - y1 / x2 - x1

4 - 6 / -6 - (-4)

-2 / -2

= 1

y = 1x + b

4 = 1(-6) + b

4 = -6 + b

10 = b

Answer:

6 units^2

Step-by-step explanation:

To solve this problem i use the net to find the area. Each square is a unit. there was 4 units and 4 halves. 4 halves combined, would be 2.

2 + 4= 6.

Answer:

1st onne I believe I couldd be wrong but thats what I got

Step-by-step explanation:

Answer:

Option 3

Step-by-step explanation:

Brainliest please~

Answer:

C

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, so

scale factor = [tex]\frac{EF}{BC}[/tex] = [tex]\frac{11}{66}[/tex] = [tex]\frac{1}{6}[/tex] → C

Answer:

16

Step-by-step explanation:

let boys equal to 5x

and girls equal to 4x

so 4x+5x=36

X=4

so boys are 5*4

boys are 20

and girls are 16

so boys are 4 more than girls

Answer:

16 girls

Step-by-step explanation:

boys : girls : total

5          4        5+4 = 9

take the total number of people and divide by 9

36/9 = 4

Each number should be multiplied by 4

boys : girls : total

5*4        4*4     9*4

20          16        36

There are 16 girls

Answer:

y = 5x - 21

Step-by-step explanation:

[tex]y+1=5(x-4)\\y+1=5x-20\\y=5x-21[/tex]

Answer Expert Verified

3.1/5

18

Surface of a cube=S(x)

S(x)=6x²

S(2 m)=6(2 m)²=6(4 m²)=24 m²

The surface of this cube is 24 m².

Volume of a cube=V(x)

V(x)=x³

V(2 m)=(2 m)³=8 m³

Answer:

18

Step-by-step explanation:

Answer:

its the second won

Step-by-step explanation:

Answer:

the answer is 36 square meters since this is the proper way to phrase this answer but if you do say it the other way people will now what u are talking about