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2 years ago

8

Is the relationship between the variables in the table a direct or inverse variation or neither? If it is direct or inverse, wri

te a function to model it.
x 4 8 16 32
y 32 16 8 4

1 answer:

Rzqust [24]2 years ago

8 0

Step-by-step explanation:

this is inverse variation

the function is

xy = 128

=> y = 128/x

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Is the following expression true or false? Show your work.

Paul [167]

Answer: True

Solution:

Rearrange the equation to the LHS:

[x^2 + 8x + 16] · [x^2 – 8x + 16] - (x^2 – 16)^2 = 0

Factoring x^2+8x+16

x^2 - 4x - 4x - 16

= (x-4) • (x-4)

= = (x+4)2

So now we have an equation

(x + 4)^2 • (x - 4)^2 - (x^2 - 16)^2 = 0

Step 2: Evaluate the following:

(x+4)2 = x^2+8x+16

(x-4)2 = x^2-8x+16

(x^2-16)2 = x^4-32x^2+256

(x^2+8x+16) (x^2-8x+16 ) - (x^4-32x^2+256 )

0 = 0

Hence True

3 0

2 years ago

1 $40.00 shirt is on a 10% off sale rack, What is the final price of the shirt 8.25%

erastova [34]

Answer: 38.97

10% of 40 is 4
40-4=36
8.25% of 36 is 2.97
36+2.97= 38.97

3 0

2 years ago

Read 2 more answers

If 1/2 gallon of paints cover 1/4 of a wall,then how much paint is needed to cover the entire wall?

Degger [83]

Answer:

2 Gallons are needed to cover entire wall

6 0

2 years ago

The length of the base of a right triangle is 12 meters. The height of the right triangle is 9 meters. find the area of the righ

Komok [63]

Answer:

A=54m²

Step-by-step explanation:

A = hbb/2 =9 · 12/2 = 54m²

8 0

2 years ago

Tina is attempting to factor the expression 10x^2-13-3. In her first step, she rewrites the expression as 10x^2-10x-3x-3. Which

Setler79 [48]

ANSWER

B. The two middle coefficients add to the correct number but do not multiply to the correct number.

EXPLANATION

The given quadratic trinomial that Tina tries to factor is

$10 {x}^{2} - 13x - 3$

Comparing to

$a{x}^{2} + bx + c$

we have a=10, b=-13 and c=-3

ac=-3×10=-30

We split the middle term so that their sum is -13.

Tina use

-10,-3

to get

-10x-3x

The sum is -13x alright but the product is not -30.

B is correct.

8 0

2 years ago