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3 years ago

Choose ALL that give an interval where the function is increasing.

Mathematics

2 answers:

weqwewe [10]3 years ago

7 0

Answer:

(-∞,-3), (-1,2), and (4,∞)

Step-by-step explanation:

If f(x) is increasing on (a,b), then f(a)<f(b) on (a,b).

From the given graph, the graph is increasing on (-∞,-3), (-1,2), and (4,∞).

Think of it as the portion of the graph that slopes forward.

The correct options are A, C, an E

vivado [14]3 years ago

5 0

Answer:

(-∞,-3), (-1,2), and (4,∞)

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Let theta be an angle in quadrant II such that cos theta = -2/3

Iteru [2.4K]

Answer:

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

Step-by-step explanation:

Ok so we are in quadrant 2, that means sine is positive while cosine is negative.

We are given $\cos(\theta)=\frac{-2}{3}(\frac{\text{adjacent}}{\text{hypotenuse}})$ .

So to find the opposite we will just use the Pythagorean Theorem.

$a^2+b^2=c^2$

$(2)^2+b^2=(3)^2$

$4+b^2=9$

$b^2=5$

$b=\sqrt{5}$ This is the opposite side.

Now to find $\csc(\theta)$ and $\tan(\theta)$ .

$\csc(\theta)=\frac{\text{hypotenuse}}{\text{opposite}}=\frac{3}{\sqrt{5}}$ .

Some teachers do not like the radical on bottom so we will rationalize the denominator by multiplying the numerator and denominator by sqrt(5).

So $\csc(\theta)=\frac{3}{\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}=\frac{3 \sqrt{5}}{5}$ .

And now $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}=\frac{\sqrt{5}}{-2}=\frac{-\sqrt{5}}{2}$ .

So we have $\csc(\theta)=\frac{3 \sqrt{5}}{5} \text{ and } \tan(\theta)=\frac{-\sqrt{5}}{2}$ .

7 0

3 years ago

Read 2 more answers

What is the y intercept of 2x + y = 2

motikmotik

2,
is the Y intercept of that equation

5 0

3 years ago

What are the solutions of the equation x4−10x2+9=0? Use u substitution.

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

X^4 - 10X^2 + 9 =0 This factors. It just looks odd.

(x^2 - 1)(x^2 - 9) = 0

x^2 - 1 = (x + 1)(x - 1) = 0

x = 1 and x = - 1

x^2 - 9 = (x + 3)(x - 3) = 0

x = 3

x = -3

The correct answer is C (third one down).

7 0

3 years ago

How do i solve 4/a-2/b+1/4?

Pepsi [2]

This is as simplified as it gets since there are none of the same variables.

7 0

3 years ago

Explain what the equation

Alik [6]

Answer:

value of h makes the equation true is -3.5

Step-by-step explanation:

=> 4h = -14

multiply both side by h

=> $\frac{4h}{4} = \frac{ - 14}{4 } \\$

=> $h = \frac{ - 14}{4}$

divide -14 by 4

÷> h = - 3.5

4 0

3 years ago