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3 years ago

15

What are the features of the quadratic function f(×) =×2 +10×+21?

1 answer:

laiz [17]3 years ago

8 0

A is the correct answer

Or

Vertex = (-5,-4), y-intercept = (0,21), x-intercepts = (-7,0) and (-3,0), axis of

symmetry is x = -5

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

3 years ago

Which list contains all of the factors of the number 48

Sliva [168]

It is C.
1 times 48 is 48.
2 times 24 is 48
3 times 16 is 48
4 times 12 is 48
6 times 8 is 38.

7 0

4 years ago

Read 2 more answers

Which of the following relations is a function?

VARVARA [1.3K]

-2,0, -1,0, 0,1 , 1,0

7 0

3 years ago

If your claim is in the null hypothesis and you reject the null hypothesis, then your conclusion would be:

dusya [7]

Answer:

(C) There is not sufficient sample evidence to support the original claim.

Step-by-step explanation:

If my claim is in the null hypothesis and I reject the null hypothesis, it means the claim is not supported.

The claim would have been supported if I failed to reject the null hypothesis.

The conclusion would therefore be that there is not sufficient sample evidence to support the original claim.

5 0

3 years ago

The following statistics represent weekly salaries at the Midtown Construction Company.

Sphinxa [80]

Answer:

5

Step-by-step explanation:

4 0

3 years ago