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Kay [80]
3 years ago
9

the volume of a box is 45x^3 + 198x^2 + 189x. find expressions for the possible dimensions of the prism

Mathematics
1 answer:
Oxana [17]3 years ago
7 0

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

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The graphs below are based on government data on unemployment for 2017.
lord [1]

You already got the first two questions right: the group with the highest number of people unemployed / unemployment rate is the one with the highest bar in the respective histogram.

The two graph are related in this sense: take the first age group as reference. We know that 700 people from 16 to 19 are unemployed, and that those people represent 14% of the population, then we know that the 14% of the population between 16 and 19 is 700.

We can deduce that, if x is the number of people between 16 and 19, we have

\dfrac{14}{100}x=700 \iff \dfrac{7}{50}x=700 \iff \dfrac{x}{50}=100 \iff x=5000

So, by the relation between the two graphs, we can deduce the total population for each age group.

3 0
3 years ago
A randomly generated list of numbers from 0 to 4 is being used to simulate an event with numbers 3 and 4 representing a success.
Whitepunk [10]
The answer is D, 40%. I got it by knowing that 3 and 4 were the success numbers and that 0,1, and 2 were unsuccessful and that numbers 3 and 4 are less than half, so I went with 40% and it was right. Good luck apex! Finish strong!
5 0
3 years ago
Tim wants to ride his bike for 25 miles or less on some mountains bike trails . The table shows the distance of three different
Basile [38]

yo sup??

the sum of trails taken should be less than 25 miles

Black bear=B

Eagle Ridge=E

Doe Run=D

(btw names sound cool XD)

we will now try different combinations

B+E=7 1/2 ++ 10 1/4 which is clearly less than 25

B+D=7 1/2 + 8 3/4 which also less than 25

E+D=10 1/4 + 8 3/4 which is also less than 25

B+D+E=7 1/2 + 10 1/4 + 8 3/4 which is greater than 25

Therefore only the 1st,2nd and 3rd case are possible

Hope this helps.

7 0
3 years ago
Is this correct? I will give brainliest to the correct answer
tankabanditka [31]
Oh yeah, now give me branliest.
5 0
3 years ago
Read 2 more answers
Is 3/10 of the visitors were adults and there were 100 visitors how many visitors were adults?
e-lub [12.9K]
So, 3/10 = 100/x\frac{3}{10}= \frac{100}{x}  3x=100(10) 3x=1000 1000/3 = 333.33=x
5 0
3 years ago
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