Question:

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

3 0

Answer:

Step 1:

Addition is commutative

A + B = B + A

So the terms can be rearranged

Step 4:

2x(2x - 3) + 5(2x - 3)

Since (2x - 3) is common to both terms,

You can take it common

(2x - 3)(2x + 5)

This can be proved verified using distribution property

(2x - 3)(2x + 5) is the same as

(2x + 5)(2x - 3) because multiplication is commutative

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−4x−6=−5y+2 Write a formula for g(x) in terms of x

vlada-n [284]

Answer:

4/5x + 8/5 = g(x)

Step-by-step explanation:

−4x−6=−5y+2

Solve for y

Subtract 2 from each side

−4x−6-2=−5y+2-2

-4x -8 = -5y

Divide each side by -5

-4x/-5 -8/-5 = -5y/-5

4/5x + 8/5 = y

Replace y with g(x)

4/5x + 8/5 = g(x)

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3 years ago

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The sum of three consecutive even integers is -78, what are the integers ?

Digiron [165]

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
$