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3 years ago

Sandra writes (4x30) + (4x2) and says the quotient for 128 + 4 is 8. is she correct? explain.

Mathematics

2 answers:

Rashid [163]3 years ago

6 0

No, because the equation shows her answer. 30 and 2 combined equals 32, which is the answer. 32x4=128 and 128/4=32

Phantasy [73]3 years ago

6 0

30 x 4 is 120 plus 4 x 2 is 8 so 120 plus 80 is 200 amd 128 plus 4 is 132 so no

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ANSWER:

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STEP-BY-STEP EXPLANATION:

In order to compare, we must calculate the slope of the table, knowing that the equation in its slope and intercept form is the following:

$\begin{gathered} y=mx+b \\ \text{where m is the slope and b is y-intercept} \end{gathered}$

The formula to calculate the slope is the following:

$m=\frac{y_2-y_1}{x_2-x_1}$

The points are (-6, -9/2) and (4,3), replacing:

$m=\frac{3-(-\frac{9}{2})}{4-(-6)}=\frac{3+\frac{9}{2}}{4+6}=\frac{\frac{15}{2}}{10}=\frac{15}{20}=\frac{3}{4}$

The slope is 3/4

Now, for b

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replacing:

$\begin{gathered} 3=\frac{3}{4}\cdot4+b \\ b=3-3 \\ b=0 \end{gathered}$

The equation is:

$y=\frac{3}{4}x$

Therefore, the true statements are:

• Both functions have the same slope

• The linear equation does not have a y-intercept

• The table and the grahp express an equivalent function

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Answer:

Answer to the question:

Step-by-step explanation:

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