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3 years ago

52 is 0.4% of what number?

Mathematics

1 answer:

Sauron [17]3 years ago

4 0

I believe 20 but I’m not sure

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Write the equation of the parabola that has its x-intercepts at (1+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B5%7D" id="TexForm

VladimirAG [237]

Answer:

$y=2x^2-4x-8$

Step-by-step explanation:

<u>Factored form of a parabola</u>

$y=a(x-p)(x-q)$

where:

p and q are the x-intercepts.
a is some constant.

Given x-intercepts:

(1+√5, 0)
(1-√5, 0)

Therefore:

$\implies y=a(x-(1+\sqrt{5}))(x-(1-\sqrt{5}))$

$\implies y=a(x-1-\sqrt{5})(x-1+\sqrt{5})$

To find a, substitute the given point (4, 8) into the equation and solve for a:

$\implies a(4-1-\sqrt{5})(4-1+\sqrt{5})=8$

$\implies a(3-\sqrt{5})(3+\sqrt{5})=8$

$\implies4a=8$

$\implies a=2$

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

$\implies y=2(x-1-\sqrt{5})(x-1+\sqrt{5})$

Expand so that the equation is in standard form:

$\implies y=2(x^2-x+\sqrt{5}x-x+1-\sqrt{5}-\sqrt{5}x+\sqrt{5}-5)$

$\implies y=2(x^2-x-x+\sqrt{5}x-\sqrt{5}x+\sqrt{5}-\sqrt{5}+1-5)$

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

$\implies y=2x^2-4x-8$

6 0

2 years ago

Just answer, no explanation

Crazy boy [7]

Answer:

(2 , 4) : I

(0 , - 3) : Y axis

(- 1 , 1/2) : II

Step-by-step explanation:

(2 , 4) : I

(0 , - 3) : Y axis

(- 1 , 1/2) : II

5 0

3 years ago

Read 2 more answers

Out of 20 students surveyed, 10 are 7th Graders, 6 are 8th Graders. What percent of the students surveyed are 6th Graders

Elis [28]

Answer:

20%

Step-by-step explanation:

6 0

4 years ago

Find the value <br> of x so that the quadrilateral is a parallelogram.

Lelu [443]

Answer:

Step-by-step explanation:

It must be the same as the angle opposite of it.

You can see that 134 and 134 are the same, so the other two corners need to be the same and be 46 and 46.

8 0

4 years ago

in a board game you must roll two 6-sided number cubes. you can only start the game if you roll a 3on at least one of the number

omeli [17]

Answer:

$1-(5/6)^2$

31% chance

1 in 3.272727273 rolls

Step-by-step explanation:

4 0

3 years ago