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Alisiya [41]
2 years ago
9

WILL GIVE BRAINLIST

Mathematics
1 answer:
borishaifa [10]2 years ago
6 0

Answer:

option: C is correct.

Step-by-step explanation:

since, we are given a parent function f(x) as: f(x)=x.

We are asked to find what  change will occur in the function when the parent function f(x) is replaced by f(9x).

let g(x) be the function formed by replacing f(x) with f(9x) i.e.

g(x)=f(9x)=9x.

clearly the slope of the function g(x)=f(9x) is 9.  ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).

whereas the slope of the function f(x)=x is 1.

Hence there is an increment of slope by a factor of 9.

Hence, option C is correct.

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Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

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x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

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3 years ago
"-3 = 9/5c + 32" help with finding c pls!! i need it as a decimal btw.
Serggg [28]

Answer:

-3=9/5c +32

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c(-15-160)=9

c(-15-160)/(-15-160)=9/(-15-160)

c=9/(-15-160)

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