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Reil [10]
3 years ago
11

What number makes the expressions equivalent? Enter your answer in the box. 12 (–1.4m + 0.4) = m + 0.2

Mathematics
2 answers:
ddd [48]3 years ago
6 0
To find a number that makes the expressions equivalent, we have to solve for m.

12(–1.4m + 0.4)= m + 0.2
multiply 12 times all in parentheses
(12*-1.4m) + (12*0.4)= m + 0.2
-16.8m + 4.8= m + 0.2
add 16.8m to both sides
4.8= 17.8m + 0.2
subtract 0.2 from both sides
4.6= 17.8m
divide both sides by 17.8
0.2584269663= m

CHECK:
12(–1.4m + 0.4)= m + 0.2
12(0.3617977528 + 0.4)= 0.2584269663 + 0.2
12(0.0382022472)= 0.4584269663
0.4584269662= 0.4584269663

ANSWER: m= 0.2584269663

Hope this helps! :)
True [87]3 years ago
5 0

Answer:

0.2584

Step-by-step explanation:

12 (–1.4m + 0.4) = m + 0.2

Open the bracket

-16.8m + 4.8 = m + 0.2

collect like terms

-16.8m - m = -4.8 + 0.2

-17.8m = -4.6

Divide both sides by -17.8

m = 4.6/17.8 = 46/178

m = 0.2584

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Given:

f^{\prime}\left(x\right)=x-4,\text{ and}f\left(2\right)=-1

To find:

The correct function.

Explanation:

Let us consider the function given in option D.

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Differentiating with respect to x we get,

\begin{gathered} f^{\prime}(x)=\frac{2x}{2}-4 \\ f^{\prime}(x)=x-4 \end{gathered}

Substituting x = 2 in the function f(x), we get

\begin{gathered} f(2)=\frac{2^2}{2}-4(2)+5 \\ =2-8+5 \\ =-6+5 \\ f(2)=-1 \end{gathered}

Therefore, the given conditions are satisfied.

So, the function is,

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Answer:

\displaystyle d = 10

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra II</u>

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Step-by-step explanation:

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Point (4, 6)

Point (-2, -2)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute [DF]:                     \displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}
  2. Subtract:                                \displaystyle d = \sqrt{(-6)^2+(-8)^2}
  3. Exponents:                            \displaystyle d = \sqrt{36+64}
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