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cupoosta [38]
3 years ago
8

Please I need help with that question

Mathematics
1 answer:
fomenos3 years ago
3 0

We know that 2x + 5 = 10 - 3x, and because of this we can solve for x.

2x + 5 = 10 - 3x

+3x

5x + 5 = 10

-5

5x = 5

/5

x = 1

We can plug x into each x value to verify if this is true.

2(1) + 5 = 10 - 3(1)

2 + 5 = 10 - 3

7 = 7

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Step-by-step explanation:

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--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

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h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


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