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Veronika [31]
3 years ago
5

(−3.5x+7)−(5.3x−4) plz help

Mathematics
1 answer:
mojhsa [17]3 years ago
3 0
First you need to distribute the negative to 5,3x and -4 now you have this:
-3.5x+7-5.3x +4     rearrange and combine like terms (matching x's with x's etc.)
-3,5x -5.3x +7+4 
-8.8x +11              your final answer there are no more like terms that you can                                        combine.
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Kevin and Marcus were comparing their ages. The same of their ages was at least 9 years but was at most 24 years. If Kevin is 6
saul85 [17]

<em><u>The inequality that represent age of marcus is:</u></em>

24\geq 6+m\geq 9

<em><u>The possible values for age of Marcus is:</u></em>

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

<em><u>Solution:</u></em>

Given that,

The sum of ages of Kevin and Marcus was at least 9 years but was at most 24 years

Kevin is 6 years old

Let "m" be the age of Marcus

Thus we frame a inequality as:

24\geq \text{ sum of ages } \geq 9

at least 9 years means that "greater than or equal to 9"

at most 24 years means "less than or equal to" 24

From given,

Sum of ages = kevin age + marcus age

Sum of ages = 6 + m

Thus the inequality is:

24\geq 6+m\geq 9

Solve the inequality

\mathrm{If}\:a\ge \:u\ge \:b\:\mathrm{then}\:a\ge \:u\quad \mathrm{and}\quad \:u\ge \:b\\\\24\ge \:6+m\quad \mathrm{and}\quad \:6+m\ge \:9\\\\Solve\ them\ separately

24\ge \:6+m\\\\\mathrm{Switch\:sides}\\\\6+m\le \:24\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\le \:24-6\\\\\mathrm{Simplify}\\\\m\le \:18

Now solve another inequality

6+m\ge \:9\\\\\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}\\\\6+m-6\ge \:9-6\\\\\mathrm{Simplify}\\\\m\ge \:3\\\\\mathrm{Combine\:the\:intervals}\\\\m\le \:18\quad \mathrm{and}\quad \:m\ge \:3\\\\\mathrm{Merge\:Overlapping\:Intervals}\\\\3\le \:m\le \:18

24\ge \:6+m\ge \:9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:3\le \:m\le \:18\:\\ \:\mathrm{Interval\:Notation:}&\:\left[3,\:18\right]\end{bmatrix}

<em><u>Thus possible values for age of Marcus is:</u></em>

m = 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18

4 0
2 years ago
How much would 55 pounds on mercury weight on earth
azamat
144.74 pounds, I rounded the answer. to get this you would divide 55 by .38 .
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3 years ago
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ArbitrLikvidat [17]

Answer:

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Step-by-step explanation:

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What is the range of the function represented by the table of values below?
Viefleur [7K]
The range is the interval of y values.
Smallest y values is -9 and the highest y values is 9.
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Hope it helps
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