All categories

2 years ago

PLEASE HELP I NEED HELP ASAP PLEASE

Mathematics

1 answer:

Diano4ka-milaya [45]2 years ago

5 0

Answer:

y = -x² - x/22 + 6/11

Step-by-step explanation:

Standard form, is y = ax² + bx + c

We need to use standard form (though we could use vertex form, but it is easier to do standard form)

Substitute the x and y values that they give into y = ax² + bx + c

Because the parabola passes through...

(-4, 0), then 0 = (-4)²a + (-4)b + c

(3, 0), then 0 = 9a + 3b + c

(-8, -2), then -2 = 64a - 8b + c

So, we get this system:

16a − 4b + c = 0

9a + 3b + c = 0

64a − 8b + c = −2

Because you are learning about parabolas, I am assuming that you can solve a system, but the answers are:

a = -x²/22

b = -x/22

c = 6/11

So, the equation of the parabola is:

y = -x²/22 - x/22 + 6/11

I hope this helps! Feel free to ask any questions!

You might be interested in

Kenneth displays his picture frames

stellarik [79]

What that's not a question lol

3 0

3 years ago

Use the difference of squares identity to write this polynomial expression in factored form: 9x2 − 49.

qwelly [4]

9x^2-49
It equals:
(3x+7)(3x−7)
Hope this helps!

7 0

3 years ago

Read 2 more answers

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud

ddd [48]

Answer: See Below

Step-by-step explanation:

Create the equation:

$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500

34p + 50 <= 3500

34p <= 3450

p <= 101.470588....

We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.

7 0

3 years ago

What is 56/42 in simplest form?

nydimaria [60]

4/3 or 1.3333 or 1 1/3 they are the same thing just in varies forms

4 0

3 years ago

Complete the square to write the quadratic expression in vertex form.

Anvisha [2.4K]

Answer:

1. (x - 3)² = 8

2. (x + 2)² = 3

3. (x + 6)² = $\frac{101}{2}$

4. (x + 3)² = 27

5. (x + 4)² = 13

6. $\bigg( x - \frac{15}{9} \bigg) ^2 = \frac{261}{81} = \frac{29}{9}$

Step-by-step explanation:

Completion of Square: $(x - a) ^2 = x^2 - 2ax + a^2$

In the following problems the terms in the RHS of the above equation may be missing. We balance the equation. Simplify it and re write it in terms of LHS.

1. x² - 6x + 1 = 0

Taking the constant term to the other side, we get:

x² - 6x = - 1

⇒ x² - 2(3)x = -1

⇒ x² -2(3)x + 9 = - 1 + 9 [Adding 9 to both the sides]

⇒ x² -2(3)x + 3² = 8

⇒ (x - 3)² = 8 is the answer.

2. 3x² + 12x + 3 = 0

Note that the co-effecient of x² is not 1. We make it 1, by dividing the whole equation by 3. And then proceed like the previous problem.

3x² + 12x = -3

Dividing by 3 through out, x² + 4x = - 1

⇒ x² + 2(2) + 4 = -1 + 4

⇒ x² +2(2) + 2² = 3

⇒ (x + 2)² = 3 is the answer.

3. 2x² + 24x = 29

x² + 12x = $\frac{29}{2}$

⇒ x² + 2(6)x + 36 = $\frac{29}{2}$ + 36

⇒ x² + 2(6)x + 6² = $\frac{29 + 72}{2}$

⇒ (x + 6)² = $\frac{101}{2}$ is the answer.

4. x² + 6x - 18 = 0

x² + 6x = 18

⇒ x² + 2(3)x = 18

⇒ x² + 2(3)x + 9 = 18 + 9

⇒ x² + 2(3)x + 3² = 27

⇒ (x + 3)² = 27 is the answer.

5. x² + 8x + 3 = 0

x² + 8x = -3

⇒ x² + 2(4)x = -3

⇒ x² + 2(4)x + 16 = - 3 + 16

⇒ x² + 2(4)x + 16 = 13

⇒ (x + 4)² = 13 is the answer.

6. 9x² - 30x + 6 = 0

9x² - 30x = - 6

⇒ x² $- \frac{30}{9}$ x = - 6

$\implies x^2 -2 \bigg( \frac{15}{9} \bigg )x + \frac{225}{81} = - 6 + \frac{225}{81}$

$\implies x^2 - 2\bigg( \frac{15}{9} \bigg ) x + \bigg ( \frac{15}{9} \bigg ) ^2 = \frac{261}{81}$

$\bigg( x - \frac{15}{9} \bigg) ^2 = \frac{261}{81} = \frac{29}{9}$ is the answer.

6 0

3 years ago