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lubasha [3.4K]
2 years ago
9

What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
5 0

Answer: x=-1,5.

Step-by-step explanation:

y=3x^2+9x\\\boxed {x=-\frac{b}{2a} }\\a=3,\ \ \ \ \ b=9.\\x=-\frac{9}{2*3}=-\frac{3}{2}=-1,5.

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6 0
3 years ago
Please solve both of these with how you solved them.
Paladinen [302]

Answer:

a. (2,5)

b. (14,15.5)

Step-by-step explanation:

a.

y=4x-3

y=-2x+9

Set both equations equal to each other to solve for x.

4x-3=-2x+9

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Plug in x to solve for y.

y=4x-3

y=4(2)-3

y=8-3

y=5

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b.

y=(5/4x)-2

y=(-1/4x)+19

Set both equations equal to each other to solve for x.

(5/4x)-2=(-1/4x)+19

4((5/4x)-2=(-1/4x)+19)

5x-8=-x+76

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x=14

Plug in x to solve for y.

y=(5/4x)-2

y=(5/4(14))-2

y=17.5-2

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6 0
2 years ago
Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle. Hypotenuse = 12 Short =
xeze [42]

Answer:

Short leg = 6.

Step-by-step explanation:

Hypotenuse = 2x

short leg = x

long leg = x√3

Hypotenuse = 2x=12

x = 12/2

x=6

short leg = x = 6

8 0
3 years ago
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tatiyna
The simplified version of this equation would be

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3 0
3 years ago
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Viktor [21]
  1. Answer:1. 1/8
  2. i dont know number 2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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