All categories

3 years ago

Which of the binomials below is a factor of this trinomial? x2 + 8x + 16

Mathematics

1 answer:

Gre4nikov [31]3 years ago

4 0

X^2 + 8x + 16 =
(x + 4)(x + 4) or (x + 4)^2

You might be interested in

What is the greatest common factor of <br><img src="https://tex.z-dn.net/?f=24%20%7Ba%7D%5E%7B3%7D%20c" id="TexFormula1" title="

Agata [3.3K]

If you're not sure, begin by looking for any divisor that will divide into 24a^3c and 3a without leaving a remainder. Note that 3 is such a number, and a is another.

Factoring out 3a from 24a^3*c and 3a, we get 3a{8a^2*c, 1}

So the GCF is 3a.

8 0

4 years ago

Integrate this two questions

tankabanditka [31]

Simplify the integrands by polynomial division.

$\dfrac{t^2}{1 - 3t} = -\dfrac19 \left(3t + 1 - \dfrac1{1 - 3t}\right)$

$\dfrac t{1 + 4t} = \dfrac14 \left(1 - \dfrac1{1 + 4t}\right)$

Now computing the integrals is trivial.

$\displaystyle \int \frac{t^2}{1 - 3t} \, dt = -\frac19 \int \left(3t + 1 - \frac1{1-3t}\right) \, dt \\\\ = -\frac19 \left(\frac32 t^2 + t + \frac13 \ln|1 - 3t|\right) + C \\\\ = \boxed{-\frac{t^2}6 - \frac t9 - \frac{\ln|1-3t|}{27} + C}$

where we use the power rule,

$\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C ~~~~ (n\neq-1)$

and a substitution to integrate the last term,

$\displaystyle \int \frac{dt}{1-3t} = -\frac13 \int \frac{du}u \\\\ = -\frac13 \ln|u| + C \\\\ = -\frac13 \ln|1-3t| + C ~~~ (u=1-3t \text{ and } du = -3\,dt)$

$\displaystyle \int \frac t{1+4t} \, dt = \frac14 \int \left(1 - \frac1{1+4t}\right) \, dt \\\\ = \frac14 \left(t - \frac14 \ln|1 + 4t|\right) + C \\\\ = \boxed{\frac t4 - \frac{\ln|1+4t|}{16} + C}$

using the same approach as above.

5 0

2 years ago

The postal service charges $2 to ship packages up to 5 ounces in weight and $0.20 for each additional ounce up to 20 ounces. Aft

Luda [366]

Answer:

The domain is all of the x values. From the graph, all of the x values are greater than or equal to 0 so the answer is x ≥ 0.

3 0

3 years ago

Christopher earned $78 at his job when he worked for 2 hours.

morpeh [17]

Answer:

1 dollar every 1/39 hour

Step-by-step explanation:

If Christopher earns $78 in two hours, he must earn $39 dollars in one hour because 78/2 is 39. Therefore, every hour Christopher earns $39. To find the amount of hours per dollar, divide 1, the hour, by 39, the money per hour, to get 1/39.

4 0

3 years ago

Read 2 more answers

I believe that it is A because like are you rounding

klemol [59]

Answer:

Please state your question.

6 0

3 years ago