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Elis [28]
3 years ago
8

9x ≥117 which numbers below belong to the solution set of the inequality

Mathematics
1 answer:
lakkis [162]3 years ago
7 0
9 x ≥ 117

Divide both sides by 9 :

9 x / 9 ≥ 117 / 9

x = 117 / 9

x ≥ 13

hope this helps!
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4/10x - 2x + 8/5 = 4/5
mamaluj [8]

\large\displaystyle\text{$\begin{gathered}\sf \left(\frac{4}{10}\times x\right)-(2 \times x)+\frac{8}{5}=\frac{4}{5}    \end{gathered}$}

Reduce the fraction 4/10, to its minimum expression, extracting and canceling 2.

  • \large\displaystyle\text{$\begin{gathered}\sf \frac{2}{5}x-2x+\frac{8}{5}=\frac{4}{5}    \end{gathered}$}

Combine \bf{\frac{2}{5}x } and -2x to get \bf{-\frac{8}{5}x}.

  • \large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x+\frac{8}{5}=\frac{4}{5} \     \end{gathered}$}

Subtract 8/5 from both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4}{5}-\frac{8}{5} \ \    \end{gathered}$}

Since 4/5 and 5/8 have the same denominator, join their numerators to subtract them.

  • \large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=\frac{4-8}{5}   \end{gathered}$}

Subtract 8 from 4 to get -4.

  • \large\displaystyle\text{$\begin{gathered}\sf -\frac{8}{5}x=-\frac{4}{5}   \end{gathered}$}

Multiply both sides by \bf{-\frac{5}{8}}, the reciprocal of \bf{-\frac{5}{8}}.

  • \large\displaystyle\text{$\begin{gathered}\sf x=-\frac{4}{5}\left(-\frac{5}{8}\right)   \end{gathered}$}

Multiply -4/5 by -5/8 (to do this, multiply the numerator by the numerator and the denominator by the denominator).

  • \large\displaystyle\text{$\begin{gathered}\sf x=\frac{-4(-5)}{5\times8} \ \to \ \ Multiply  \end{gathered}$}
  • \large\displaystyle\text{$\begin{gathered}\sf x=\frac{20}{40}  \end{gathered}$}

Reduce the fraction 20/40 to its lowest expression by extracting and canceling 20.

  • \boxed{\large\displaystyle\text{$\begin{gathered}\sf x=\frac{1}{2}  \end{gathered}$}}

  • <u>Good luck in your studies</u>
3 0
2 years ago
If f(x)=4x+5 what is the value of f(-3)
Norma-Jean [14]

Answer:

-7

Step-by-step explanation:

f(x)=4x+5

Let x =-3

f(-3)=4*-3+5

Multiply

f(-3)=-12+5

Add

f(-3) = -7

7 0
3 years ago
If a town with a population of 10.000 doubles in size every 17 years, what will the population​
Aleksandr-060686 [28]

Answer:

20,000

Step-by-step explanation:

10,000 times 2 since it is doubled

7 0
2 years ago
Find the center-radius form of the equation of the circle described.
Kitty [74]

Answer:

Correct answer:  (x-√2)² + (y-√5)² = 3

Step-by-step explanation:

Given data: Center (x,y) = (√2,√5) and r = √3

The canonical or cartesian form of the equation of the circle is:

( x-p )² + ( y-q )² = r²  

Where p is the x coordinate of the center, q is the y coordinate of the center and r is the radius of the circle.

God is with you!!!

8 0
3 years ago
Not sure how to solve this
Diano4ka-milaya [45]

Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

7 0
3 years ago
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