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3 years ago

Are the equations 3x=−9 and 4x=−12 equivalent? Explain.

Mathematics

1 answer:

pochemuha3 years ago

4 0

Answer:

Step-by-step explanation:

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How do I find the y intercept in a fraction

Furkat [3]

ANSWER:

Both functions have the same slope

The linear equation does not have a y-intercept

The table and the grahp express an equivalent function

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

x = 4

y = 3

m = 3/4

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

8 0

1 year ago

A juice recipe calls for 5 cups of grape juice for every 2 cups of peach juice are needed for a batch that uses 8 cups of peach

Ksivusya [100]

Answer: 20 cups of grape juice are needed for 8 cups of peach juice.

Step-by-step explanation:

5 times 4 is 20.

We must do this step because you need 2 cups for 1 batch, and times 4 that is 8. So then we multiplied 5 times 4.

So, 20 cups of grape juice are needed for 8 cups of peach juice.

Hope this answer helps you out!

3 0

3 years ago

Read 2 more answers

A true-false test has 10 questions. If Lisa answers all

Bumek [7]

999999%

Step-by-step explanation:

6 0

3 years ago

Deondra has $420 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax.

gtnhenbr [62]

Step-by-step explanation:

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7 0

3 years ago

Can the product of a whole number and a decimal number less than 1 ever be greater than the whole number? Give examples to suppo

masya89 [10]

No. Let's say we use 10 and 0.38. 1 X 10 is 10, so if anything is lower than 1, it will be lower than 10. Therefore, 0.38 X 10 is 3.8. This is less than the whole number, 10. Hope this is clear enough.

6 0

3 years ago