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Leona [35]
3 years ago
15

What is the volume of the figure below, which is composed of two cubes with side lengths of 6 units?

Mathematics
2 answers:
zzz [600]3 years ago
7 0
You didn’t figure it out
nataly862011 [7]3 years ago
3 0

Answer:

you didn't out any figure below kid

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Find (f • g) when f(x) = x^2 + 5x + 6 and g(x) = 1/x+3
Nikitich [7]

Answer:

option D

Step-by-step explanation:

f(x) = x^2 + 5x + 6

g(x)= \frac{1}{x+3}

(fog)(x) = f(g(x))

Plug in g(x) in f(x)

We plug in 1/x+3 in the place of x  in f(x)

f(g(x))= f(\frac{1}{x+3})= (\frac{1}{x+3})^2 + 5(\frac{1}{x+3}) + 6

To simplify it we take LCD

LCD is (x+3)(x+3)

\frac{1}{(x+3)(x+3)}+5\frac{1*(x+3)}{(x+3)(x+3)}+\frac{6(x+3)(x+3)}{(x+3)(x+3)}

\frac{1}{x^2+6x+9}+\frac{(5x+15)}{x^2+6x+9}+\frac{6x^2+36x+54}{x^2+6x+9}

All the denominators are same so we combine the numerators

\frac{1+5x+15+6x^2+36x+54}{x^2+6x+9}

\frac{6x^2+41x+70}{x^2+6x+9}

Option D is correct

8 0
3 years ago
Read 2 more answers
Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
soldier1979 [14.2K]

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = \frac{f(x_2)-f(x_1)}{x_2-x_1}

(255 - 3) / (4 - 1) = 252 / 3 = 84

3 0
3 years ago
If the average (arithmetic mean) of 10,20,30,40, and x is 60, what is the value of x​
Lilit [14]

60 =  (10 + 20 + 30 + 40 + x)/5

300 = 100 + x

x = 200

Answer: 200

8 0
3 years ago
A seasonal index for a monthly series is about to be calculated on the basis of three years’ accumulation of data. The three pre
yarga [219]

Answer:

0.684

Step-by-step explanation:

According to the scenario, computation of the given data are as follows

Seasonal index = Average value for July ÷ Average over all months

Where, Average value for July = ( 110 + 150 + 130 ) ÷ 3

= 390 ÷ 3 = 130

And, average over all months = 190

So by putting the value in the formula, we get

Seasonal index = 130 ÷ 190

= 0.684211 or 0.684

Hence, approximate seasonal index for July is 0.684.

6 0
3 years ago
-5/4c - 1/4 = -3/4 + 5/8c  Please Help
Svetradugi [14.3K]
The answer is -8/15 because you need to cancel out the variables first
3 0
2 years ago
Read 2 more answers
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