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kondaur [170]
3 years ago
6

Select the graph of the equation below. y= -1/4x^2+1

Mathematics
1 answer:
V125BC [204]3 years ago
4 0

Answer:

a.

Step-by-step explanation:

Since you have the different parabolas there, the simplest way to determine which one is, is replacing x as 0 and then y as 0

y = -1/4x^2 + 1

When x = 0

y = -1/4 (0)^2 +1 = 1

When y = 0

0 = -1/4x^2 +1

1/4 x^2 = 1

x^2 = 4

x = + 2

x = - 2

The parabola with points:

(0,1); (-2,0) and (2,0) is a.

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Do you have a graphing calculator?  if yes than all you have to do is hit the y= button in the top left corner and type 1/4x-4 for y1. then you need to hit graph in the top right corner.  repeat this process substituting 1/4x-4 and -x+1
4 0
3 years ago
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with addition
kow [346]

Answer:

200 miles

Step-by-step explanation:

First, set up the equations.

plan 1: initial fee of $55.96, $0.12 per mile

  • y = 0.12x + 55.96

plan 2: initial fee of $63.96, $0.08 per mile

  • y = 0.08x + 63.96

We want to know at what distance will the cost be the same. So, set the equations equal to each other.

0.12x + 55.96 = 0.08x + 63.96

Combine the variables.

0.04x + 55.96 = 63.96

Combine the constants.

0.04x = 8

Divide by 0.04 to isolate x.

x = 200 miles

Check by plugging x back into each equation.

y = 0.12(200) + 55.96

y = 24 + 55.96

y = $79.96

y = 0.08(200) + 63.96

y = 16 + 63.96

y = $79.96

You are correct!

8 0
2 years ago
What is the solution to -3x&lt;9
GaryK [48]
-3x<9. The way to figure this out is to divide by -3 to get x by itself. Remember, when dividing by a negative, you need to flip the inequality sign.
x>-3 is your answer.
I hope this helps!
7 0
2 years ago
Translate the sentence into an inequality. Twice the difference of a number and 7 is at most −20 . Use the variable y for the un
3241004551 [841]
If the number is y then the inequality is
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5 0
3 years ago
2x^2-21x-36. Can someone help me out?
sergeinik [125]
-752<span>thatswhat the answer should be
</span>
8 0
3 years ago
Read 2 more answers
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