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Scrat [10]
2 years ago
12

I would like to know how to solve this problem.

Mathematics
1 answer:
Darya [45]2 years ago
8 0

Answer: 9

Step-by-step explanation:

g(-5)=\frac{-5}{5}=-1\\\\(f\circ g)(-5)=f(g(-5))=f(-1)=-3(-1)+6=\boxed{9}

You might be interested in
Find how long it takes for $500 to double if it is invested at 6% interest compounded monthly
EastWind [94]

Answer:

11.581 years

Step-by-step explanation:

Formula:

AV=PV(1+\frac{i}{n})^{nt}\\1000=500(1+\frac{.06}{12})^{12t}\\2=1.005^{12t}\\log_{1.005}2=12t\\138.9757=12t\\t=11.5813

6 0
3 years ago
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

=-8-3n+3

T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
How many solutions does this have ?
Gemiola [76]
It has one solution that I know of
8 0
3 years ago
Read 2 more answers
The center of a circle is at the origin on a coordinate grid. A line with a positive slope intersects the circle at (0, 7). Whic
denis23 [38]

The true statement is the circle has the radius equal to 7.

<h3>What is Equation of circle?</h3>

The general equation for a circle is (x-h)² + (y-k)² = r², where ( h, k ) is the center and r is the radius.

As, standard form of equation of circle is

(x-h)² + (y-k)² = r²

At origin, equation of circle will be

(0-h)² + (0-k)² = r²

r² = x² + y²

Now, The line intersects the circle at (0,7)

r² = 0² + 7²

r² =49

r=7.

Hence, the circle has the radius equal to 7.

Learn more about this concept here:

brainly.com/question/11702700

#SPJ1

3 0
1 year ago
UPS charges $8 flat fee and $0.20 for each pound. FedEx charges $3 flat fee and
Natasha_Volkova [10]

Answer:

50 lbs

Step-by-step explanation:

UPS: 8 + .20p

FedEx: 3 + .30p

8 + .20p = 3 + .30p

8  = 3 + .10p

5  =  .10p

p = 50

4 0
3 years ago
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