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2 years ago

A linear function has the same y-intercept as x + 4y = 20 and its graph contains the

Mathematics

1 answer:

TEA [102]2 years ago

3 0

Answer:

x + 4y = 20

Step-by-step explanation:

Step 1: Subtract "x" on both sides.

x + 4y = 20

Step 2: Simplify --> 4y = -x +20

Step 3: Divide 4 on all sides to leave "y" by itself. 4y = -(1)x + 20

4 4 4

Step 4: Simplify: y = -1/4x + 5

Answr: The Slope is "-1/4". The slope will always be the number in front of the "x".

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3 years ago

Find the average rate of change of the function defined by the following table. x y -2 -5 2 35 6 75 10 115

Pani-rosa [81]

By definition we have that the average rate of change of the function is:

$AVR = \frac{f(x2) - f(x1)}{x2 - x1}$

Evaluating the function for the complete interval we have that the AVR is given by:

$AVR = \frac{115 - (-5)}{10 - (-2)}$

Rewriting we have:

$AVR = \frac{115+5}{10+2}$

Simplifying the expression we have:

$AVR = \frac{120}{12}$

$AVR = 10$

Answer:

the average rate of change of the function defined by the table is:

$AVR = 10$

6 0

3 years ago

What equation is parallel to the line 3x+y=5

Alex_Xolod [135]

Answer:

Any equation with the slope -3 and a y intercept that does not equal 5

Step-by-step explanation:

a line is parallel if the line have the same slope, and different y intercepts

3x+y=5

in slope intercept form is

y=-3x+5

slope : -3

y intercept 5

3 0

3 years ago

Marla did 65 sit-ups each day for one week.Use the distributive property to find out the number of sit-ups Marla did

xxMikexx [17]

All this question is asking you to do is multiply 65 and 7. The 7 comes from the amount of days in a week. The product of these numbers is 455.

Maria did 455 sit-ups in a week.

7 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B216%5C%5C%7D" id="TexFormula1" title="\sqrt[3]{216\\}" alt="\sqrt[3]{216\\}"

aivan3 [116]

Answer:

Step-by-step explanation:

$\sqrt[3]{216}$ = $\sqrt[3]{8}$ · $\sqrt[3]{27}$ = $\sqrt[3]{2}$ ³ · $\sqrt[3]{3}$ ³ = 2 x 3 = 6

7 0

3 years ago