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3 years ago

9

The following list shows how many brothers and sisters some students have: 3, 2, 3, 2, 1, 2, 1, 3, 4, 5, 4, 3, 1, 2 State the mo

de(s). I need anser?

2 answers:

Wewaii [24]3 years ago

8 0

Answer:

2 and 3

Step-by-step explanation:

VladimirAG [237]3 years ago

3 0

(2) cause there are more of them than any other number.

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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

1 year ago

What is the effect of the b value in an exponential function? y-a*b^x<br> please help me

Margaret [11]

Answer:

Here's li^{}

nk to the answer:

bit.^{}

ly/3a8Nt8n

4 0

3 years ago

Explain why it can be helpful to use partial quotients when dividing?

Anastasy [175]

In mathematics, a quotient (from Latin: quotiens "how many times", pronounced ˈkwoʊʃənt) is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor.

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3 years ago

Write a system of two linear equations showing the distance each animal can

pantera1 [17]

Answer:

X

Step-by-step explanation:

X=input(time) 6 minutes both

3 0

2 years ago

a carton can hold 1000 unit cubes that measure 1 inch by 1 inch by 1 inch describe the dimensions of the card using the unit cub

labwork [276]

Since the carton can hold 1000 units of the cubes.

Each unit of cube = 1inch * 1inch *1inch = 1inch³

Total volume = 1000 * 1inch³ = 1000 inch³

To get the dimension: The carton would take the shape of a cube.

Let each side be x.

x*x*x = 1000

x³ = 1000 Take the cube root of both sides.

∛x³ = ∛1000

x = 10

The dimension of the carton is 10 inches by 10 inches by 10 inches

7 0

2 years ago