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evablogger [386]
2 years ago
12

F(x) = (9 + 2x)² f(2) = ? ​

Mathematics
2 answers:
Diano4ka-milaya [45]2 years ago
8 0

\\ \rm\hookrightarrow f(x)=(9+2x)^2

f(2):-

put 2 inplace of x

\\ \rm\hookrightarrow (9+2(2))^2

\\ \rm\hookrightarrow (9+4)^2

\\ \rm\hookrightarrow 13^2

\\ \rm\hookrightarrow 169

soldi70 [24.7K]2 years ago
3 0
<h2>♪Answer : </h2>

»f(x) = (9 + 2x)²

»f(2) = (9 + 2(2))²

»f(2) = (9 + 4)²

»f(2) = 13²

»f(2) = 169✅

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Answer:

Slope of required line if both lines are parallel: y=4x-20

Slope of required line if both lines are perpendicular: y=-1/4x+14

Step-by-step explanation:

We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)

<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>

If Both lines are parallel the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are parallel there slopes are same

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

Slope of new line is: m=4

Now finding y-intercept

Using slope m=4 and point (8,12) we can find y-intercept

y=mx+b\\12=4(8)+b\\12=32+b\\b=12-32\\b=-20

y-intercept of new line is: b=-20

Equation of required line having slope m=4 and y-intercept b=-20 is

y=mx+b\\y=4x-20

If Both lines are perpendicular the equation of new line will be:

We need to find slope and y-intercept to write equation of new line.

When lines are perpendicular there slopes are opposite of each other

So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)

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y=mx+b\\12=-\frac{1}{4} (8)+b\\12=-2+b\\b=12+2\\b=14

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x -----> the number of skaters

y -----> the cost for birthday parties

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The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

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