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Sedaia [141]
3 years ago
14

Given the function f(x) = 3x2 − 4, what is f(-2)? A. -40 B. -16 C. 8 D. 32

Mathematics
2 answers:
adoni [48]3 years ago
8 0
^^ correct! It would be 8! Your answer is C.
Temka [501]3 years ago
3 0

All this is asking you to do is plug in -2 for x

So

f(x)=3x²-4

f(-2)=3(-2²)-4

f(-2)=12-4

f(-2)=8

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Calculate the slope.please help due in 2 hours
sergejj [24]

Answer:

Slope = 4

Step-by-step explanation:

Use any two pairs from the table of values, say (0, 3) and (2, 11).

Slope = ∆y/∆x

Slope = \frac{11 - 3}{2 - 0}

Slope = \frac{8}{2}

Slope = 4

3 0
2 years ago
∫(cosx) / (sin²x) dx
kirza4 [7]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822772

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}


Make the following substitution:

\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}


and then, the integral (i) becomes

=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}


Integrate it by applying the power rule:

\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}


Now, substitute back for u = sin x, so the result is given in terms of x:

\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}


\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0
3 years ago
WILL GIVE BRAINLIEST find the value of x
lesya [120]

Answer:

66

Step-by-step explanation:

3 0
3 years ago
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
LenKa [72]

Answer:

a = 6

x^2 + 6x is equal to x(x+6)

b=2

Denominator and numerator of the first term are multiplied by x. 

c=6

Second term is multiplied by (x-6)/(x-6)

d=2

Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term

e=6

In the same way as d is carried over from b, e is carried over from c. 

f = 6

2x - x + 6 = x + 6

g = 1 

We factor out the (x+6) from the numerator and denominator

6 0
3 years ago
Which key on the scientific calculator will you need to simplify exponential expressions
lapo4ka [179]
It is called a "carrot" in most teachers math vocabulary, Type in your base, then click the ^ button, then type in your exponent. 
3 0
3 years ago
Read 2 more answers
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