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JulsSmile [24]
3 years ago
10

Jenny & Natasha are working on a problem together: Solve x/3 + 8 = −2. Natasha thinks the first step is to multiply by 3. Je

nny explains that this is not the most efficient way to solve. Explain who is correct & justify your reasoning.
Mathematics
1 answer:
ratelena [41]3 years ago
5 0

The individual that is correct is Natasha. This is because the answer can be gotten using Natasha's method

The given equation is  \frac{x}{3} + 8 = -2

<u><em>Solving the equation using </em></u><u><em>Natasha's</em></u><u><em> method </em></u>

the fist step is to multiply by 2

x + 24 = - 6

The second step is to combine  and add similar terms

x = -24 - 6

x = -30

<u><em /></u>

<u><em>Second method of solving the equation</em></u>

The equation the friends are trying to solve is \frac{x}{3} + 8 = -2

The first step is to combine similar terms

\frac{x}{3} = - 8 - 2

The second step is to add similar terms together

\frac{x}{3} = - 10

The third step is to multiply both sides of the equation by 3

x = (-10 x 3)

x = -30

A similar question was answered here: brainly.com/question/18613652?referrer=searchResults

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3 years ago
Find the average rate of change of f(x)=2x-1 from x=-1 to x=2
MrMuchimi

The average rate of change from x = -1 to x = 2 is 2

<u>Solution:</u>

Given function is:

f(x) = 2x - 1

We have to find the average rate of change from x = -1 to x = 2

<em><u>The average rate of change is given as:</u></em>

\text {Average rate of change}=\frac{f(b)-f(a)}{b-a}

<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>

\text {Average rate of change}=\frac{f(2)-f(-1)}{2-(-1)}\\\\\text {Average rate of change}=\frac{f(2)-f(-1)}{3}

<em><u>Find f(2) and f( - 1)</u></em>

<em><u>Substitute x = 2 in given function</u></em>

f(2) = 2(2) - 1 = 4 - 1 = 3

<em><u>Substitute x = -1 in given function</u></em>

f( - 1) = 2(-1) - 1 = -2 - 1 = -3

<em><u>Substitute the values in above formula,</u></em>

\text {Average rate of change}=\frac{3-(-3)}{3}=\frac{6}{3}=2

Thus average rate of change from x = -1 to x = 2 is 2

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