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ziro4ka [17]
3 years ago
8

Find the x-intercept of the following line. y=5x+20

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
3 0

Answer:

(-4, 0)

Step-by-step explanation: I recommend using desmos graphing calculator for problems like these. It will graph your problem and you can see where it connects. Hope this helps!

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Answer question 1-15 by 6pm
alina1380 [7]

Answer:

Step-by-step explanation:

It is not really a question we can help you with you have to draw shapes for each 3 letters

8 0
3 years ago
What does each variable in the Slope-Intercept Form equation represent?
Virty [35]
Y represent the y axis m represents the rate of change x represents the x axis b represents the total
7 0
3 years ago
A rocket is launched from a tower what time will the rocket reach its max
Lena [83]

Answer:

Step-by-step explanation:

A science class designed a ball launcher and tested it by shooting a tennis ball up and off the top of a 15-story building. They determined that the motion of the ball could be described by the function: h(t) = -16t2 + 144t + 160, where ‘t’ represents the time the ball is in the air in seconds and h(t) represents the height, in feet, of the ball above the ground at time t.

a) Graph the function h(t) = -16t2 + 144t + 160 (see below)

      b) What is the height of the building?

The height of the building is also the height of the tennis ball before it is launched into the air. This occurs when t=0 so substitute 0 for t and you get:

H(0) = -16(0)2 + 144(0) + 160

The height of the building is 160 feet.

 c) At what time did the ball hit the ground?

The ball hits the ground when the height is 0. Therefore, we are looking for a solution to: -16t2 + 144t + 160 = 0

Use the quadratic formula or put this into a calculator. The solution is t=10 and -1, but only 10 makes sense. Therefore, the ball hits the ground at 10 seconds.

  d) At what time did the ball reach its maximum height?

You can put this into the calculator or you can realize that the maximum height is also

− the vertex. The x-value (‘t’ in this case) is 2

−144

which is (2)(−16) = 4.5.

Therefore, the ball reached its maximum height at 4.5 seconds.

   e) What is the maximum height of the ball?

We calculated the time of the maximum height (4.5 seconds). Therefore, substitute 4.5 into the function to find the maximum height.

-16(4.5)2 + 144(4.5) + 160

The maximum height is 484 feet.

5 0
2 years ago
How many ways can you distribute $4$ identical balls among $4$ identical boxes?
Harman [31]

Answer:

5 ways

Step-by-step explanation:

We have to name the cases.

1. 4 - 0 - 0 - 0

2. 3 - 1 - 0 - 0

3. 2 - 2 - 0 - 0

4. 2 - 1 - 1 - 0

5. 1 - 1 - 1 - 1

We don't name 0 - 0 - 1 - 3 or 0 - 1 - 1 - 2 etc. because it is the same thing.

4 0
2 years ago
The sales tax for an item was $24.50 and it cost $350 before tax. Find the sales tax rate.
Karo-lina-s [1.5K]
Find the number that when multiplied with 350 will give you 24.5. This number happens to be .07 or in terms of sales tax, 7%.
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3 years ago
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