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Cloud [144]
3 years ago
8

Evaluate the​ expression, ​(g◦​f)(3​), given the following functions. ​f(x)=x+2 and ​g(x)=x

Mathematics
1 answer:
azamat3 years ago
5 0

f(x) = x + 2\\g(x) = x\\(g \circ f) = g(f(x)) = x + 2\\g \circ f)(3) = 3 + 2 = 5

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PLEASE HELP, GIVING 25 POINTS!!!!<br><br> Fill in the blank.<br> (5x)^2 = ___ x^2
Dimas [21]

Answer:

The answer is 25

Step-by-step explanation:

(5x)^2=25^2

5x times 5x is 25x^2

25^2 divided by 5x is 5x

The two x's become x^2 and the two 5's just multiply to 25

3 0
3 years ago
You unfold chicken wire to make a circular pen. The area of the pen is 78.5 square meters. How many meters of chicken wire do yo
Lelu [443]
Circular pen means you are going to use Area = Pi(r^2). 

So 78.5 = pi(r^2). Divide by pi on both sides to get r^2 = 78.5/pi. Take the square root of that to get r or radius = approximately 4.99. If you need an exact answer then use \sqrt{ \frac{78.5}{ \pi } } for the next part because you are not done yet.

Plug whatever R you use into the circumference formula of Circumference = 2(pi)(r).

If you use 4.99, you do 2(pi)(4.99) which is approximately 31.35. If you use the exact answer, you do 2(pi)(\sqrt{ \frac{78.5}{ \pi} }) which gives you approximately 31.41. 

Either way you'll need about 31 meters of chicken wire but the 31.40796 or ~31.41 is closer to the exact answer. 
8 0
3 years ago
PLEASE HELP! SO CONFUSED! 25 POINTS!!
MrRa [10]

Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (x + 4)(3x² - 7)

each term in the second factor is multiplied by each term in the first factor , that is

x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28 ← in standard form

7 0
2 years ago
What is the equation of the line and a slope intercept form that passes through 3, -1 and -1, 5
TEA [102]

ANswer:  y= -3/2x + 7/2

you welcome

7 0
3 years ago
Find the interest earned.
SCORPION-xisa [38]
June is 30 days
30-12=18 days
July is 31 days
August is 30 days
Time=18+31+30=79 days
A=2,750×(1+0.035÷365)^(79)
A=2,770.91
Interest earned
I=A-p
I=2770.91-2750
I==20.91
4 0
3 years ago
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