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Mrac [35]
3 years ago
12

Write an equation for each quadratic function whose graph is shown​

Mathematics
1 answer:
Readme [11.4K]3 years ago
7 0

Answer:

9. y=5x^{2}

10. y=2/3x^{2}

11. y=1/10x^{2}

12. y=-1/4x^{2}

Step-by-step explanation:

9. Use vertex form (y=a(x-h)^2+k) and insert the vertex (0,0) as (h, k).

y=a(x-0)^2 +0

Substitute the x and y values for the given point on the graph, (-1, 5)

5=a(-1-0)^2+0

Solve for a.

5=a(-1)^2

5=a

Substitute a in vertex form and solve for general form (ax^2 +bx+c)

y=5x^{2}

Use this method to find the rest of the equations.

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−1/2 (x+2) + 112x = 3<br><br> x=?
AysviL [449]

Given equation :−1/2 (x+2) + 112x = 3

We have -1/2 in front of parenthesis on left side .

It's better to remove fraction in an equation, in order make it easier to solve.

In order to remove 2 from denominator of 2, we need to multiply each and every term by 2.

Multiplying each term in the equation by 2, we get

2* −1/2(x+2) +2* 112x = 2*3.

On simplifying this step, we get

-1(x+2) +224x = 6.

Distributing -1 over (x+2), we get

-x -2 +224x = 6

Combining like terms on left side, -x+224x=223x

223x -2 = 6

Adding 2 on both sides, we get

223x -2+2 = 6+2

223x = 8

Dividing both sides by 223, we get

223x/223 = 8/223.

x= 8/223.

6 0
4 years ago
easy algebra question below first correct answer gets brainliest, if you put a link i will report and block
boyakko [2]

Answer:

6x²

Step-by-step explanation:

3x×2x=6...... then an x²

Therefore answer is 6x²

3 0
3 years ago
HELP HELP HELP<br> HELP HELP <br> HELP <br> (STEP BY STEP)
Marizza181 [45]

With some simple rearrangement, we can rewrite the numerator as

2x^3 - 3x^2 - x + 4 = 2(x^3 - x) - 3x^2 + x + 4 \\\\ ~~~~~~~~ = 2x(x^2-1) - 3(x^2 - 1) + x + 1 \\\\ ~~~~~~~~ = (2x-3)(x^2-1) + x+1

Then factorizing the difference of squares, x^2-1=(x-1)(x+1), we end up with

\dfrac{2x^3 - 3x^2 - x + 4}{x^2 - 1} = \dfrac{(2x-3)(x-1)(x+1) + x+1}{(x-1)(x+1)} \\\\ ~~~~~~~~ = \boxed{2x-3 + \dfrac1{x-1}}

3 0
2 years ago
Three times a number increased by 7 is 100. Find the number.
velikii [3]

Answer:

31

Step-by-step explanation:

100-7= 93

93÷3=31

7 0
3 years ago
Read 2 more answers
How do you factor (y^4-x^9) ? <br><br> Thank you
polet [3.4K]
So since you know that x^2-1 is equal to (x-1)(x+1),
you can figure that this factors to
(y^2-x^3)(y^2+x^3)
because you know how the difference of two squares formula, stated on the top line of this answer.

5 0
3 years ago
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