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3 years ago

Drag each expression to show whether it is equivalent to

Mathematics

2 answers:

Agata [3.3K]3 years ago

3 0

Answer:

See below.

Step-by-step explanation:

Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.

Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:

−1.3x−8.9x = -10.2x. This is equivalent to -1.3 + (-8.9X) .

8.9x+(−1.3x) = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+(−1.3x) = -10.2x This is equivalent to -1.3 + (-8.9X) .

8.9x−(−1.3x) = 10.2x Neither

−1.3x+8.9x = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+1.3x = -7.6x Neither

Lostsunrise [7]3 years ago

3 0

Answer:

Take a look yourself

Step-by-step explanation:

Equivalent expressions are expressions which are equal. This means they simplify to the same expression. Simplify the two expressions -1.3x - (-8.9x) = 7.6x and -1.3 + (-8.9X) = -10.2x.

Then simplify each option to determine if it is equal -1.3x - (-8.9x), -1.3 + (-8.9X) or neither:

−1.3x−8.9x = -10.2x. This is equivalent to -1.3 + (-8.9X) .

8.9x+(−1.3x) = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+(−1.3x) = -10.2x This is equivalent to -1.3 + (-8.9X) .

8.9x−(−1.3x) = 10.2x Neither

−1.3x+8.9x = 7.6x This is equivalent to -1.3x - (-8.9x) .

−8.9x+1.3x = -7.6x Neither

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Which phrases can be used to represent the inequality 12-3x≥9? Check all that apply. (multi choice)

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Step-by-step explanation:

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Answer:

$15.~f(g(2))=\Large\boxed{11}\\$

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Step-by-step explanation:

<h3>Given information</h3>

$f(x)=x+4$

$g(x)=2x+3$

<h3>Question 15. f(g(2))</h3>

<u>Substitute values into the first function</u>

$g(2)=2(2)+3$

$g(2)=4+3$

$g(2)=7$

<u>Substitute the values of the first function into the second</u>

$f(g(2))=f(7)$

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$f(7)=\Large\boxed{11}$

<h3>Question 16. g(f(2.5))</h3>

<u>Substitute values into the first function</u>

$f(2.5)=(2.5)+4$

$f(2.5)=6.5$

<u />

<u>Substitute the values of the first function into the second</u>

$g(f(2.5))=g(6.5)$

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$g(6.5)=13+3$

$g(6.5)=\Large\boxed{16}$

<h3>Question 17. g(f(-5))</h3>

<u>Substitute values into the first function</u>

$f(-5)=(-5)+4$

$f(-5)=-1$

<u>Substitute the values of the first function into the second</u>

$g(f(-5))=g(-1)$

$g(-1)=2(-1)+3$

$g(-1)=-2+3$

$g(-1)=\Large\boxed{1}$

<h3>Question 18. f(g(-5))</h3>

<u>Substitute values into the first function</u>

$g(-5)=2(-5)+3$

$g(-5)=-10+3$

$g(-5)=-7$

<u>Substitute the values of the first function into the second</u>

$f(g(-5))=f(-7)$

$f(-7)=(-7)+4$

$f(-7)=\Large\boxed{-3}$

Hope this helps!! :)

Please let me know if you have any questions

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