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Verdich [7]
3 years ago
8

Factor the expression. = 28x– 14

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

14(2×-1) is the factorization of this expression

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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
Please help me solve this 1/8 in.= 10 mi. 1 1/8 in.= ____ mi.
Katyanochek1 [597]

Answer:

2.1701x10^-5 mi

3 0
3 years ago
Sailors traditionally measure speed in knots or nautical miles per hour . A nautical mile is based on the circumfrance of earth
sergejj [24]

Answer:

25.31 Feet per second

Step-by-step explanation:

7 0
3 years ago
Line k contains the points (-4,0) and (3,2). line m contains the points (-3,2) and (4,0). if line k is written in the form y=m1x
Misha Larkins [42]

Answer:

0

Step-by-step explanation:

(-4,0) and (3,2)

m1=(2-0)/(3+4)=2/7

y=2/7x+b1, using point (-4,0) to find b1 (substitute x=-4 and y=0 in the form)

0=2/7*(-4)+b1 ⇒ b1= 8/7

-----

(-3,2) and (4,0)

m2=(0-2)/(4+3)= -2/7

y= -2/7x+b2, using point (4,0) to find b2 (substitute x=4 and y=0 in the form)

0= -2/7*4+b2 ⇒ b2=8/7

----

m1b2+m2b1= 2/7*8/7 -2/7*8/7=0

7 0
3 years ago
You randomly select one card from a 52-card deck. Find the probability of selecting a black three or a red jack ) The probabilit
matrenka [14]
1/13

2 black 3s and 2 red Jacks, 4 cards out of 52.
8 0
3 years ago
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