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nadya68 [22]
3 years ago
11

Please help i think i solved it correctly but i just want to double check

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0
Subtract 21 from both sides
Step2247 [10]3 years ago
8 0

absolute value inequalities have 2 solutions

remember when you the negative to flip the inequality

5x+2 < 12   and 5x+2 >-12  

subtract 2 from each side

5x < 10   and 5x > -14

divide by 5

x<2 and  x > -14/5

-14/5 < x< 2

Answer:

-2 4/5 < x < 2

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Soloha48 [4]

Answer:

45

Step-by-step explanation:

8 0
3 years ago
How does the rate of change vary from point to point?
Tpy6a [65]

\bf \begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 40&32\\ 28&16\\ 16&12\\ \cline{1-2} \end{array}~\hfill \stackrel{\textit{average rate of change}}{slope} \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{40}~,~\stackrel{y_1}{32})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{16}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{16-32}{28-40}\implies \cfrac{-16}{-12}\implies \boxed{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{28}~,~\stackrel{y_1}{16})\qquad (\stackrel{x_2}{16}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-16}{16-28}\implies \cfrac{-4}{-12}\implies \boxed{\cfrac{1}{3}}

8 0
3 years ago
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 16 years; the
STatiana [176]

Using the Emperical rule:

68% lie with one one standard deviation:

16 + 1.7 , 16-1.7 = 17.7, 14.3

14.3 is part of the 68%.

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3 0
2 years ago
11. Write 5 equivalent fractions for<br>• 6/7.​
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\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer, \boxed{\frac{12}{14}}, I simply multiplied the numerator and denominator each by 2.  This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.

5 0
3 years ago
Read 2 more answers
Which solution set is graphed on the number line?
sashaice [31]

Answer:

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
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