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Helga [31]
2 years ago
8

Is it a function? (-2, 2), (-1,2), (0, 2), (1.0), (2,0)

Mathematics
1 answer:
alex41 [277]2 years ago
4 0

Answer:

yes

Step-by-step explanation:

nothing in the x is repeating

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Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Stacy goes to the county fair with her friends. The total cost of ride tickets Is given by the equation c = 3.5t, where c is the
murzikaleks [220]
C = 3.5t....when t = 15
c = 3.5(15)
c = 52.50 <==
5 0
3 years ago
A) equal lines<br> B) parallel lines<br> C) perpendicular lines<br> D) None of the above
Nat2105 [25]
I think the answer is D, None of the above
8 0
3 years ago
Read 2 more answers
Please help! This is due at 11:59pm (the problem is stated in the photo)
SVETLANKA909090 [29]

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

7 0
3 years ago
Read 2 more answers
What is the correct solution to 1/2(x+18)=4(2x-6)-9x
denis-greek [22]

Answer:

x = 22

Step-by-step explanation:

I interpreted your problem as:

\frac{1}{2} (x+18) = 4(2x-6)-9x

I simplified the problem to:

\frac{1}{2} x+9 = 8x-24-9x

I combined like terms:

\frac{1}{2} x+9 = -x-24

I moved all x to one side and all other constants to the other:

\frac{3}{2} x = -33

I divided by 3/2 (1.5) on both sides to isolate x:

x = 22

Hope it helps! (:

4 0
3 years ago
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