What's the variable for 3(5x + 2)=8x + 20

Mathematics

2 answers:

sp2606 [1]3 years ago

6 0

3(5x+2)=8x+20

15x+6=8x+20

15x-8x=20-6

7x=14

then you divide both sides by 2

The answer is 2.

Tanzania [10]3 years ago

5 0

<span>3(5x + 2)=8x + 20
Use distributive property
15x + 6=8x + 20
Subtract 8x from 15x so that the variable x is only on one side.
7x + 6= 20
Subtract 6 from both sides
7x = 14
Divide 7 on both sides so that the only thing remaining on the left side is the variable x.
Final Answer: x= 2</span>

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Genrish500 [490]

Answer: D) 10 sin (πx) - 5

<u>Step-by-step explanation:</u>

The range (maximum - minimum) is 5 - (-15) = 20

The amplitude (A) is range (20) ÷ 2 = 10

The vertical shift (D) is maximum (5) - amplitude (10) = -5

Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.