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irina1246 [14]
3 years ago
15

Factor the following polynomial 2x^2+9x+9

Mathematics
1 answer:
sattari [20]3 years ago
7 0
2x^2+9x+9
2x^2+6x+3×+9
2x(x+3)+3(x+3)
(2x+3)(x+3)
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Time traveler can take 5 books with him and he has 79 books to choose from how many different ways can the books be selected
AveGali [126]

<u>We are given:</u>

The time-traveller has 79 books, but he can only take 5 books

since we need to find the number of ways he can choose 5 books, we know that the order in which he takes the books does NOT matter

Hence, we will use combination

<u>Finding the number of ways:</u>

Since we will use combination, ₇₉C₅

We know that the formula for combination is  (n!) / (r!(n-r)!)

₇₉C₅  = 79! / 5!(74!)

₇₉C₅ = 22,537,515

Therefore, the time traveller can choose 5 books in 22,537,515 different ways

8 0
3 years ago
The price paid<br> for a $83.50<br> chair with an 8%<br> sales tax<br> What is the sale tax
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Answer:

$6.68

Step-by-step explanation:

83.50(0.08) = 6.68

5 0
3 years ago
Read 2 more answers
20. Suppose you need to re-administer this injection at the point when the concentration is less than 0.5%. If the first injecti
IceJOKER [234]
Given that the function

C(h)=\frac{2h^2+5h}{h^3+8}

models the concentration of a medication in the bloodstream (as a percent), hours (h) after its injection into muscle tissue.

The number of hours it will take for the concentration of the injection to be less than 0.5% is given by:

0.5\ \textgreater \ \frac{2h^2+5h}{h^3+8} \\ \\ \Rightarrow0.5(h^3+8)\ \textgreater \ 2h^2+5h \\ \\ \Rightarrow h^3+8\ \textgreater \ 4h^2+10h \\ \\ \Rightarrow h^3-4h^2-10h+8\ \textgreater \ 0 \\ \\ \Rightarrow h\ \textgreater \ 5.54

Given that the first injection was given at 8:00 am, the time the next injection should be given is 2 pm.
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3 years ago
Is π + 24 rational or irrational
monitta

Answer:

Irrational

Step-by-step explanation:

As pi=3.141...

pi+24=27.141....

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3 years ago
How can you tell the difference between additive comparison and multiplicative comparison
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The additive comparison is talking about adding and multiplicative comparison is talking about multiplication but the difference is the comparison.
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3 years ago
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