A golf ball was hit with an initial velocity of 12 meters per second off the ground. The height of the ball after x seconds is modeled by the equation h(x)=-4.8x(x-2.5)

Answers

Answer 1

The ball hits the ground at 0 seconds or 2.5 seconds.

h represents the height of the golf ball after x seconds. The height is given by:

h(x)=-4.8x(x-2.5)

h(x) = -4.8x² + 12x

The time taken for the ball to reach the ground is at h(x) = 0, hence:

0 = -4.8x² + 12x

4.8x² - 12x = 0

x(4.8x - 12) = 0

hence x = 0; or 4.8x - 12 = 0

x = 0; or x = 2.5

Therefore the ball hits the ground at 0 seconds or 2.5 seconds.

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Related Questions

The table below shows the number of red, blue, and white ribbons won by 4 girls during last years gymnastic season

Which girl had the largest ratio of red ribbons to her total ribbons?

Answers

Answer: B or D

Step-by-step explanation:

Karens ration is 5:15 whilst chens is 6:19

1/3 of 15 is gonna be 5, while 19 is gonna be around 6.3

I got 1/3 cause there is 3 colors, and red is one of them, since the question is asking about the total. I would be leaning more towards B though.

Answer:

Chen: 6/19

Step-by-step explanation:

Anne: 2/14 = 0.142

Karen: 5/15 = 0.133

Janice: 4/14 = 0.285

Chen: 6/19 = 0.316

Another one I'm not very good with algebra.

Answers

Answer:

A mayb

Step-by-step explanation:

175/ 1/3

=58+17

=75

(-0.4)^2 sum pls i need this by tonight i have to finish my math corrections pls

Answers

Answer:

(-0.4)²

= -0.4×-0.4

product of two negative numbers is positive

so, 0.4×0.4

=4/10×4/10

=16/100

=0.16

-11-10-9
show steps for your answer

Answers

Answer:

-11-10=-21

-21-9= -30

A number is at most -5 or at least 0, but how do you graph it?

Answers

Answer:

Step-by-step explanation:

i am not really fully sure

pls pls pls help meeee!

Answers

Answer:

x is 90 because it is a right triangle

(3)
(2)
2 m
5 m
2 m
5 m
Perimeter:
Area:

Answers

Step-by-step explanation:

The area = (5 × 3) + (2 × 3) = 15 + 6 = 21

The perimeter = 2 + 3 + 5 + 5 + 3 + 2 = 20

please give me a brainliest answer

If Bryan had 2 apples and one of them is gone what happen to the other apples

Answers

Answer:

other apples should also be taken by another person and Bryan had no apples left.

Step-by-step explanation:

15.35m rounded to the nearest whole number

Answers

Answer:

The answer is 15m

Step-by-step explanation:

The meaning whole number means an actual whole number, decimals are just part's of a whole number, so excluding decimals:

If you look at 5 and compare it to 3 following next, 3 is not higher then 5 and therefore is rounded down.

Hope this helps!

Determine a series of transformations that would map polygon ABCDE onto polygon A’B’C’D’E’?

Answers

Answer:

1. reflection over y axis

2. dilation over the origin with scale factor of 3

Step-by-step explanation:

1. reflection about y axis

2. dilation over the origin (0,0) with scale factor of 3

3. A person jogs 1/7 mile in 1/42 hour. What is the person”s speed in miles perhour?

Answers

Answer:

42/7 = 6 miles per hour

Step-by-step explanation:

Given,

The total distance covered by the person =  [tex]1/7[/tex] a miles,

Time taken by him =  [tex]1/42\\[/tex]an hour,

We know that, speed = Distance, time

The speed of the person = [tex]1/7 over 1/42[/tex]

42/7

also known as 6 miles per hour

I hope this helps and have a great day!

A 144-inch board is cut into two pieces. One piece is five times the length of the other. Find the length of the shorter piece.
The shorter piece is inches long.

Answers

Answer:

shorter piece is 28.8 inches

Step-by-step explanation:

Answer28.8

Step-by-step explanation:

28.8 x 5 = 144

what is the equivalent value of 1/3×(−15)

Answers

what is the equivalent value of 1/3×(−15)
Answer: -5x

find the nth term of 11, 20, 35, 56, 83, . . .

Answers

nth number is 83 hope you understand my answer thanks

Answer: 3n^2 + 8

Step-by-step explanation:

an^2 + bn + c

It is a quadratic sequence

11, 20, 35, 56, 83

 +8 +15 +21 +27

    +6   +6   +6

a + b + c

4a + 2b + c

9a + 3b + c

4a + 2b + c - a + b + c = 20 - 11

4a + 2b + c - a + b + c = 9

3a + b = 9

9a + 3b + c - 4a + 2b + c = 35 - 20

5a + b = 15

-2a = -6

a = -6/-2

a = 3

Substitute to find the values of b & c

For b

5(3) + b = 15

15 + b = 15

b = 15 - 15

b = 0

For c

9(3) + 3(0) + c = 35

27 + c = 35

c = 35 - 27

c = 8

3n^2 + 0n + 8

3n^2 + 8

PLEASE HELP!!
(04.03)
Given the function g(x) = 5(2)^x, compare the average rate of change from x = 1 to x = 2 and from x = 3 to x = 4.
How many times greater is the average rate of change from x=3 to x=4 than from x=1 to x=2?
О 4 times
O 5 times
O 2 times
O The average rate of change of Section B is not greater than the average rate of change of Section A.

Answers

Answer:  Choice A.   4 times

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

Explanation:

We'll be using this formula

[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]

to compute the average rate of change (AROC) from x = a to x = b. Note how this is effectively the slope formula because y = f(x).

To start things off, we'll compute the AROC from x = 1 to x = 2.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(2)-g(1)}{2-1}\\\\m = \frac{5(2)^2-5(2)^1}{2-1}\\\\m = \frac{10}{1}\\\\m = 10\\\\[/tex]

Do the same for the AROC from x = 3 to x = 4.

[tex]m = \frac{g(b)-g(a)}{b-a}\\\\m = \frac{g(4)-g(3)}{4-3}\\\\m = \frac{5(2)^4-5(2)^3}{4-3}\\\\m = \frac{40}{1}\\\\m = 40\\\\[/tex]

The jump from m = 10 to m = 40 is "times 4", which is why choice A is the final answer.

Solve for x

9x+7=30

round to the nearest tens digit.

Answers

X=2.5
9x=23
Divide both sides by nine and you get 2.555555555555555
So just say 2.5 recurring

what is the answer of this? 4x²-9y²+36y-36=0 ​

Answers

Answer:

x = + - 3(y-2)

this it ut

Answer:

It will be the oval, yw :)

Equivalent (-1)+10+9 please

Answers

Answer:

18

Step-by-step explanation:

1) Simplify the expression

-1 + 10 + 9

9 + 9

18

(6d+5)−(2−3d) find the difference

Answers

9d+3 that’s the answer I think though try it

Answer:

10d

Step-by-step explanation:

6d+5 =11d

2-3d = -1d

11d-1d= 10d

Pls help me:
1) 3/5 ÷ 3=
2 )2÷ 2/5=

Answers

Answers :
1) 0.2
2) 5

Check the image below

What is the sum of 1 + 1?

Answers

1 + 1 = 2

Have a beautiful and joyful day ahead.

Answer:

1+1= 2

have a nice day stay safe <3

help its due in 3 mins

Answers

Answer:

Can you please give me the question or link

Step-by-step explanation:

George is looking at stock market charts. He can buy a collection of stocks for 6 shares for $618. How much would it be for 11 shares?

Answers

....................

Which statement correctly compares the function shown on this graph with
the function y = 4x + 2?
8
7
6
5
1
543 2
1 2 3 4
5
A. The function shown on the graph has a greater rate of change, but
a lower starting point.
B. The function shown on the graph has a greater rate of change and
a higher starting point.
C. The function shown on the graph has a smaller rate of change, but
a higher starting point.

Answers

The given highest power of x in the given function, y = 4·x + 2, is 1,

therefore, the graph of the function is a straight line.

The statement that correctly compares the function shown on the graph

with the function; y = 4·x + 2 is; C. The function shown on the graph has a

smaller rate of change but a higher starting point.

Reasons:

The given function is; y = 4·x + 2

Comparing with the equation for a straight line; y = m·x + c, we have;

The rate of change or slope, m = 4

The y-intercept, starting point, c = 2

Two points on the function shown on the graph are; (0, 4), and (-2, -2)

The slope of the given graph is therefore;

[tex]m = \dfrac{4 - (-2)}{0 - (-2) } = \dfrac{6}{2} = 3[/tex]

The rate of change of the graph, m = 3

The equation of the graph is therefore;

y - 4 = 3·(x - 0)

Which gives;

y = 3·x + 4

The y-intercept, starting point of the graph, is therefore, c = 4

Which gives;

The function shown on the graph has a higher starting point but a smaller rate of change than the given function.

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On a map, 1 inch equals 15 miles. Two cities are 7 inches apart on the map. What is the actual
distance between the cities?
The actual distance between the cities is miles.

Answers

Answer:

105 miles

Step-by-step explanation:

The ratio you have is 1:15

So you must multiply 7 by 15 to find the actual distance in miles.

7*15=105

y=f(x)=x+3÷2,x€{1,5,-3

Answers

Answer:

Yo use gauth mathhhhhhh

42 points giv away PLZ ANSWER RN (5/8+3/4) divided by (-2/3 - 5/6)

Answers

Answer:

when you divide you get -11/12

if you have a calculator you could add the 5/8 and 3/4

then add the -2/3 and the -5/6

then divide the first answer by the second answer

Answer:

[tex] \frac{( \frac{5}{8} + \frac{3}{4}) }{( - \frac{ 2}{3} - \frac{5}{6} )} \\ \\ \\ \frac{( \frac{5}{8} + \frac{6}{8}) }{( - \frac{4}{6} - \frac{5}{6} ) } \\ \\ \\ \frac{ (\frac{5 + 6}{8}) }{( \frac{ - 4 - 5}{6} )} = \frac{( \frac{11}{8} )}{( - \frac{9}{6} )} \\ \\ \\ \frac{11}{8} \div ( - \frac{9}{6} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{6}{9} ) \\ \\ \\ \frac{11}{8} \times ( - \frac{2}{3} ) \\ \\ \\ \frac{11}{4} \times ( - \frac{1}{3} ) \\ \\ \\ = - \frac{11}{12} \\ \\ \\ = - 0.91666[/tex]

I hope I helped you^_^


What is the slope of the line whose equation is -48 = 2x - 8y?
Enter your answer in the box.

Answers

Answer:

The slope is [tex]\frac{2}{8}[/tex]

Step-by-step explanation:

Take the general equation of a straight line [tex]y = mx+c[/tex]

Here [tex]m[/tex] is the slope of the line.

So let's get the equation of the line in the question in the same form.

[tex]-48 = 2x-8y[/tex]

Add [tex]8y[/tex] to both sides: [tex]8y - 48 = 2x[/tex]

Add [tex]48[/tex] to both sides: [tex]8y = 2x + 48[/tex]

Divide by [tex]8[/tex] to get it into the general equation: [tex]y = \frac{2}{8} x + 6[/tex]

Now compare it to the general equation to find the value of [tex]m[/tex]. The value of [tex]m[/tex] is the coefficient of [tex]x[/tex] which we can see is [tex]\frac{2}{8}[/tex]

find tge equation of the line

Answers

Answer:

y = -2x + 9 or y = 9 - 2x

Step-by-step explanation:

First find the gradient

Pick two points on the graph, (4, 1) and (1,7)Find the change in y (7 - 1 = 6)Find the change in x (1 - 4 = -3)Divide the change in y by the change in x = 6 ÷ -3 = -2The gradient is -2: y = -2x + c

Next, look at where the line intercepts (goes through) the y-axis: 9

The equation of the line is y = -2x + 9

Tip: The gradient is negative because the line is going downwards from left to right; if the line was going upwards, the gradient would be positive.

Hope this helps!

Find h. h - 6 = 5
(A) 5
(B) -1
(C)11 (D)6

Answers

Answer: C

h-6=5
first add 6 to both sides and you’ll get h=11

Answer:

C

Step-by-step explanation:

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