All categories

3 years ago

Given that f(x) = 5x - 10 and g(x) = x + 3, find f(g(-1)).

2 answers:

5 0

$\bf \begin{cases} f(x) = 5x-10\\ g(x) = x + 3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ g(-1)=(-1)+3\implies \boxed{g(-1) = 2} \\\\\\ f(~~g(-1)~~)\implies f\left( \boxed{2} \right) = 5(2)-10\implies \stackrel{f(~g(-1)~)}{f(2)}=0$

balu736 [363]3 years ago

3 0

Answer:

Step-by-step explanation:

Evaluate g(- 1) then use this result to evaluate f(x)

g(- 1) = - 1 + 3 = 2, then

f(2) = (5 × 2) - 10 = 10 - 10 = 0

You might be interested in

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines. Then she cuts off 5 of the sections to make into p

zaharov [31]

Answer:

3/8

Step-by-step explanation:

Let us represent the total fabric as an integer = 1

Ellen divides a piece of fabric into 8 equal sections by drawing chalk lines.

= 1/8, hence each section = 1/8

Then she cuts off 5 of the sections to make into placemats.

This is written as: 5 sections × 1/8 = 5/8

The fraction of the fabric that is left is calculated as:

1 - 5/8

Lowest Common Denominator = 8

Hence: 8 - 5/8 = 3/8

The fraction of the fabric that is left is 3/8

8 0

3 years ago

How do you do this and what’s the answer to this I been stuck on this question for litterly 20 mins

Vsevolod [243]

$\bf T=2\pi \sqrt{\cfrac{L}{g}}\implies \stackrel{\textit{squaring both sides}}{(T)^2=\left( 2\pi \sqrt{\cfrac{L}{g}}\ \right)^2}\implies T^2=2^2\pi^2\sqrt{\left( \cfrac{L}{g} \right)^2} \\\\\\ T^2=4\pi^2\cfrac{L}{g}\implies T^2=\cfrac{4\pi^2L}{g}\implies gT^2=4\pi^2L\implies g=\cfrac{4\pi^2L}{T^2}$

6 0

3 years ago

Translate the sentence into an equation.

Ainat [17]

I'm not sure if interpreted your wording correctly but this is what I got...

w(4)+6=8

4 0

3 years ago

Veronica traveled 562 miles to Venice, Florida. She drove 85 miles every day. On the last day of her trip she only drove 52 mile

dem82 [27]

Veronica traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7 days

<em><u>Solution:</u></em>

Veronica traveled 562 miles to Venice, Florida

She drove 85 miles every day

Let "d" be the number of days she drove 85 miles per day

On the last day of her trip she only drove 52 miles

Therefore, we frame a equation as,

Total miles = 85 miles every day for "d" days + last day

Total miles = 85(d) + 52

Total miles = 85d + 52

562 = 85d + 52

85d = 562 - 52

85d = 510

d = 6

She traveled at 85 miles for 6 days and 52 miles on the final day making the total number of days traveled 7

8 0

3 years ago

Alex17521 [72]

Answer:

Step-by-step explanation:

I think I am not sure I just started to do this in school...

6 0

2 years ago