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Serjik [45]
3 years ago
11

Solve the following equation, answer as a reduced, mixed number. Then place the correct number in the box provided. 4(7 - 3x) =

7(4 - 2x)
Mathematics
1 answer:
Luda [366]3 years ago
3 0

Answer:  x = 0

<u>Step-by-step explanation:</u>

4(7 - 3x) = 7(4 - 2x)

28 - 12x = 28 - 14x        <em>distributed</em>

28 + 2x = 28                 <em>added 14x to both sides</em>

       2x = 0                    <em>subtracted 28 from both sides</em>

         x = 0                     <em>divided both sides by 2</em>

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option A and E

Step-by-step explanation:

Option A is equivalent because of the commutative law of addition;

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option E is also correct because multiplication rule of inside the brackets.

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<img src="https://tex.z-dn.net/?f=%20%5Chuge%7B%5Cgreen%7D%5Cfcolorbox%7Bblue%7D%7Bcyan%7D%7B%5Cbf%7B%5Cunderline%7B%5Cred%7B%5C
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\qquad\qquad\huge\underline{{\sf Answer}}

Let's find out the gradient (Slope " m ") of line q ;

\qquad \sf  \dashrightarrow \:m = \dfrac{y_2 - y_1}{x_2 - x_1}

\qquad \sf  \dashrightarrow \:m = \dfrac{4 - 0}{0 - 1}

\qquad \sf  \dashrightarrow  \:m =  - 4

Now, since we already know the gradient let's find of the equation of line by using its Slope and one of the points using point slope form of line :

\qquad \sf  \dashrightarrow \:y - 4 = m(x - 0)

\qquad \sf  \dashrightarrow \:y = mx + 4

Now, plug in the value of gradient ~

\qquad \sf  \dashrightarrow \:y =  - 4x + 4

here we can clearly observe that, the Area under the curve can easily be represented as :

\qquad \sf  \dashrightarrow \:y <  - 4x + 4

Since, all the values of y that lies in the shaded region is smaller than the actual value of y for the corresponding values of x in the equation of line q

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Step-by-step explanation:

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Step-by-step explanation:

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