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3 years ago

8

How many solutions does the equation y + 12 = y + 10 + 2 have?

1 answer:

coldgirl [10]3 years ago

8 0

Y + 12 = y + 10 + 2

y + 12 = y + 12

y - y = 12 - 12

0 = 0

True for all y

hope this helps!

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Please help me! And please no scam answers

Yuri [45]

Answer:

Average rate of change: $-3$

Step-by-step explanation:

<u>Remember:</u>

The average rate of change of a function over an interval $[a,b]$ is $\frac{f(b)-f(a)}{b-a}$

<u>Given:</u>

$[a,b]=[1,7]$

$f(b)=f(7)$

$f(a)=f(1)$

<u>Calculation:</u>

$f(b)=f(7)=-(7)^2+5(7)+14=-49+35+14=-49+49=0$

$f(a)=f(1)=-(1)^2+5(1)+14=-1+5+14=4+14=18$

$\frac{f(b)-f(a)}{b-a}=\frac{0-18}{7-1}=\frac{-18}{6}=-3$

Therefore, the average rate of change of the function $g(x)=-x^2+5x+14$ over the interval $1\leq x\leq7$ is $-3$ .

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2 years ago

700 divided by 12 <br> Please help me

kogti [31]

700/12 equals 58 and 1/3.

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3 years ago

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3 years ago

Describe how the graph of the second function relates to the graph of the first function. y = |x| y = |x| − 3

tresset_1 [31]

Step-by-step explanation:

y=|x| is a vee graph starting at (0,0)

y=|x| - 3 is a vee graph starting (0,-3)

see attachment

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3 years ago

What is the distance between parallel lines whose equations are y = 2x + 7 and y = 2x – 3?

malfutka [58]

Answer:

The distance is $\sqrt{20}$ or $2\sqrt{5}$ .

Step-by-step explanation:

Slope of parallel: 2

Slope of perpendicular: -1/2

Pick a point for y =2x + 7. For example (0,7)

Use the perpendicular slope to get to the other line to find the other point of y=2x-3. Look at the screenshot...I got (4,5).

Distance formula $\sqrt{(x_{2}-x_{1} )^{2}+(y_{2} -y_{1})^2 }$

Insert (0,7) and (4,5)

$\sqrt{(0-4)^{2}+(7-5)^2 }$ = $\sqrt{(-4)^{2}+(2)^2 } = \sqrt{(16)+(4)} } = \sqrt{20} = 2\sqrt{5}$

6 0

2 years ago