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stich3 [128]
3 years ago
8

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics
2 answers:
alexira [117]3 years ago
7 0

Answer:

The parabola will become narrower.

Step-by-step explanation:

Because of the coefficient 2, every value of x² is doubled, which means higher value on the same X coordinate, compared to the y = x² function.

My name is Ann [436]3 years ago
6 0

Answer: B) The parabola will become narrower

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a (x - h)² + k     where

  • "a" is the vertical stretch (shrink/compression if |a| < 1)
  • (h, k) is the vertex

In the given equation of y = 2x², the a-value has increased so it is stretched.  When the graph stretches, the sides will get closer together thus the parabola will become narrower.

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Which ordered pair is the solution to the system of equations?
brilliants [131]
X+y=-1
3x-y=21
add them equations

x+y=-1
<u>3x-y=21 +</u>
4x+0y=20

4x=20
divide by 4
x=5

x+y=-1
5+y=-1
minus 5 both sides
y=-6

(x,y)
(5,-6)

D is answer
3 0
3 years ago
Okay so I’m stuck on 5.<br> It says “ 10% of __ is 7” what’s the __ answer?
Marat540 [252]
10% of 70 is 7
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so the answer should be 70
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2 years ago
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The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
OleMash [197]

Answer:

The equation of the parabola is y = -12\cdot x^{2}.

Step-by-step explanation:

Since the directrix is of the form y = a, the parabola is vertical. The vertex of the parabola (V(x,y)) is the midpoint between the focus (F(x,y)) and a point of the directrix (P(x,y)), that is to say:

V(x,y) = \frac{1}{2}\cdot F(x,y) + \frac{1}{2}\cdot P(x,y) (1)

If we know that F(x,y) = (0, -3) and P(x,y) = (0, 3), then the coordinates of the vertex of the parabola:

V(x,y) = \frac{1}{2}\cdot (0, -3) + \frac{1}{2}\cdot (0, 3)

V(x,y) = (0, 0)

The vertex factor (p) is the distance of the focus with respect to the vertex:

p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]} (2)

If we know that F(x,y) = (0, -3) and V(x,y) = (0, 0), then the vertex factor is:

p = \sqrt{0^{2}+(-3)^{2}}

p = -3

The equation of the parabola in the vertex form is described below:

y - k = 4\cdot p \cdot (x-h)^{2} (3)

Where:

x - Independent variable.

y - Dependent variable.

h, k - Coordinates of the vertex.

If we know that (h,k) = (0, 0) and p = -3, then the equation of the parabola is y = -12\cdot x^{2}.

6 0
2 years ago
What is the correct factorization of 5!?
Oksi-84 [34.3K]

Answer:

B) 5 x 4 x 3 x 2 x 1

Step-by-step explanation:

When you see a ! directly next to a number (such as 5!), it means that you are multiplying starting from that number, and stepping down each time:

5! = 5 * 4 * 3 * 2 * 1

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10! = 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 3,628,800

In this case, you are multiplying 5!.

5! = 5 * 4 * 3 * 2 * 1 = (20) * (6) * 1 = 120

5! = 120

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3 years ago
Line Q is represented by the following equation: 2x + y = 11 Which equation completes the system that is satisfied by the soluti
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X + Y= 8
If you plug the value (3, 5) for x and y, you will arrive at your destination (answer).
X=3
Y=5
3 + 5 = 8
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