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EleoNora [17]
3 years ago
12

NEED THESE ANSWERED ASAP SO I CAN GRADUATE THIS WEEK

Mathematics
2 answers:
babunello [35]3 years ago
6 0

For this case we must solve each of the equations proposed:

A) -6 (2s-1) = 30

We apply distributive property to the terms within parentheses:

-12s + 6 = 30

Subtracting 6 from both sides of the equation we have:

-12s = 24

Dividing between -12 on both sides of the equation:

s = \frac {24} {- 12}s = -2

B) -3m = -5 (m-8)

We apply distributive property to the terms within parentheses:

-3m = -5m + 40

We add 5m on both sides of the equation:

2m = 40

Dividing between 2 on both sides of the equation:

m = \frac {40} {2}\\m = 20

C) 7 (2-g) = 49

We apply distributive property to the terms within parentheses:

14-7g = 49

We subtract 14 from both sides of the equation:

-7g = 35

Dividing between -7 on both sides of the equation:

g = \frac {35} {- 7}\\g = -5

D) -7 (3w + 4) = 14

We apply distributive property to the terms within parentheses:

-21w-28 = 14

We add 28 to both sides of the equation:

-21w = 42

Dividing between -21 on both sides of the equation:

w = \frac {42} {- 21}\\w = -2

Answer:

s = -2\\m = 20\\g = -5\\w = -2

Degger [83]3 years ago
4 0
This is all the answers hope this helps. if it does please mark brainliest

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Read 2 more answers
A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t) = -16t2 + 6
katrin2010 [14]

Answer:

Part a) The height of the ball after 3 seconds is 49\ ft

Part b) The maximum height is 66 ft

Part c) The ball hit the ground for t=4 sec

Part d) The domain of the function that makes sense is the interval

[0,4]

Step-by-step explanation:

we have

h(t)=-16t^{2} +63t+4

Part a) What is the height of the ball after 3 seconds?

For t=3 sec

Substitute in the function and solve for h

h(3)=-16(3)^{2} +63(3)+4=49\ ft

Part b) What is the maximum height of the ball? Round to the nearest foot.

we know that

The maximum height of the ball is the vertex of the quadratic equation

so

Convert the function into a vertex form

h(t)=-16t^{2} +63t+4

Group terms that contain the same variable, and move the constant to the opposite side of the equation

h(t)-4=-16t^{2} +63t

Factor the leading coefficient

h(t)-4=-16(t^{2} -(63/16)t)

Complete the square. Remember to balance the equation by adding the same constants to each side

h(t)-4-16(63/32)^{2}=-16(t^{2} -(63/16)t+(63/32)^{2})

h(t)-(67,600/1,024)=-16(t^{2} -(63/16)t+(63/32)^{2})

Rewrite as perfect squares

h(t)-(67,600/1,024)=-16(t-(63/32))^{2}

h(t)=-16(t-(63/32))^{2}+(67,600/1,024)

the vertex is the point (1.97,66.02)

therefore

The maximum height is 66 ft

Part c) When will the ball hit the ground?

we know that

The ball hit the ground when h(t)=0 (the x-intercepts of the function)

so

h(t)=-16t^{2} +63t+4

For h(t)=0

0=-16t^{2} +63t+4

using a graphing tool

The solution is t=4 sec

see the attached figure

Part d) What domain makes sense for the function?

The domain of the function that makes sense is the interval

[0,4]

All real numbers greater than or equal to 0 seconds and less than or equal to 4 seconds

Remember that the time can not be a negative number

6 0
3 years ago
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