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2 years ago

8(-9-5x)+4b X=9 B=-9

Mathematics

1 answer:

True [87]2 years ago

6 0

-468
Explanation: Substitute in the numbers for the variables presented. I’ve shown it step-by-step in the photo below.

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DochEvi [55]

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2 years ago

Could someone help me rnnn?

GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola: $y=3x^2-4$

Step-by-step explanation:

Given:

y-intercept of parabola: -4
parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola: $y=a(x-h)^2+k$

(where (h, k) is the vertex and $a$ is some constant)

Substitute point (0, -4) into the equation:

$\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}$

Substitute point (-2, 8) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}$

Substitute point (1, -1) and $ah^2+k=-4$ into the equation:

$\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}$

Equate to find h:

$\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}$

Substitute found value of h into one of the equations to find a:

$\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}$

Substitute found values of h and a to find k:

$\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}$

Therefore, the equation of the parabola in vertex form is:

$\implies y=3(x-0)^2-4=3x^2-4$

So the vertex of the parabola is (0, -4)

5 0

2 years ago

Read 2 more answers

1/2 of the people who live in the neighborhood vollunteer at the comunity garden. 1/4 of the vollunteers are teenagers. What fra

ki77a [65]

Answer:

3/4

Step-by-step explanation:

With regards to the above, since 1/4 of the volunteers are teenagers, the fraction of the volunteers would be

= 1 - 1/4

= 3/4

It therefore means that 3/4 of the volunteers are teenagers.

3 0

2 years ago

What does 7/3 + (-3/8) equal?

AlekseyPX

The correct answer is 1 23/24. Hope this helps.

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3 years ago

John increased the amount of water he drinks every day from

victus00 [196]

% Increase = Increase/original number x 100
Let I represent increase

((58-32)/32) x 100 = I
58oz - 32oz = 26oz
26/32 x 100 = I
0.8125 x 100 = I
Increase = 81.25%

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3 years ago