PLS HELP ME ASAP WITH THIS! (LOTS OF POINTS!) (show work OR explain)

Mathematics

1 answer:

riadik2000 [5.3K]3 years ago

7 0

So they tell you to let x represent the cost of Deandra's sofa. So since Selena's sofa costs 30 dollars LESS than HALF the cost of Deandra's, we know we have to divide by 2 and subtract 30.
The equation would be x/2-30. (B)

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Parallel to y=2x-4 through (8,8)

yanalaym [24]

Answer:

y = 2x - 8

Step-by-step explanation:

Parallel lines have SIMILAR RATE OF CHANGES [SLOPES], so 2 remains the same:

8 = 2[8] + b

↑

-8 = b

y = 2x - 8 >> Parallel Equation

I am joyous to assist you anytime.

5 0

3 years ago

For any integer x,x2-x will always produce an even value

Levart [38]

Consider expression $x^2-x.$ First, you can factor it:

$x^2-x=x(x-1).$

Since x is integer number, then you can see that x-1 is previous integer number (x-1 is 1 unit smaller than x).

Therefore, x-1 and x are two consecutive integers. When you have two consecutive integers, one of them is always even and one is always odd. Multiplying even integer number by odd integer number you always get even integer number.

Thus, $x^2-x$ is always even.