Simplify each expression by distributing and combining like terms 6(x + 1) – 5(x + 2)

Mathematics

2 answers:

Vlada [557]2 years ago

5 0

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{x - 9}}}}}$

Step-by-step explanation:

$\star \: \sf{6( x + 1) - 5(x + 2)}$

Distribute 6 through the parentheses

Similarly, distribute -5 through the parentheses

$\dashrightarrow{ \sf{6x + 6 - 5x - 10}}$

Collect like terms

Like terms are those which have the same base

$\dashrightarrow{ \sf{6x - 5x + 6 - 10}}$

$\dashrightarrow{ \sf{x + 6 - 10}}$

The negative and positive integers are always subtracted but posses the sign of the bigger integer

$\dashrightarrow{ \boxed{ \sf{x - 4}}}$

Hope I helped!

Best regards! :D

Molodets [167]2 years ago

3 0

Answer:

x-4

Step-by-step explanation:

6(x+1)-5(x+2)

=6x+6-5x-10

=x-4

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For f(x)=0.01(2)power of x, find the average rate of change from x=3 to x=8

sineoko [7]

$\bf slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ f(x_2)}}-{{ f(x_1)}}}{{{ x_2}}-{{ x_1}}}\impliedby 
\begin{array}{llll}
average\ rate\\
of\ change
\end{array}\\\\
-------------------------------\\\\
f(x)= 0.01(2)^x \qquad 
\begin{cases}
x_1=3\\
x_2=8
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