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Mademuasel [1]
3 years ago
7

Which of the following are true statements? Select all that apply.

Mathematics
2 answers:
Gennadij [26K]3 years ago
3 0

Since sine and cosecant are reciprocals, when one has a maximum the other has a minimum and vice versa.


That's choices B & D


Not sure what the question at the end is asking; at 90 degrees and also at -90 degrees the values of sine and cosecant are equal.



andreyandreev [35.5K]3 years ago
3 0

B) The cosecant graph has a local minimum when the sine graph has a local maximum.

D) The cosecant graph has a local maximum when the sine graph has a local minimum.

, The Period

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The ratio of boys to girls at the beach cleanup was 7:8. If there were 42 boys, how many girls were there?
lesantik [10]

It would be 48 girls. 42 divided by 7 equals 6 so then you just times 6 by 8 to figure out how many girls there will be.

7 0
3 years ago
A geometric sequence has an initial value of 9 and a common ratio of 5. What function could represent this situation?
leonid [27]

Answer:

The functions that represent this situation are A and C.

Step-by-step explanation:

A geometric sequence goes from one term to the next by always multiplying or dividing by the same value.

In geometric sequences, the ratio between consecutive terms is always the same. We call that ratio the common ratio.

This is the explicit formula for the geometric sequence whose first term is k and common ratio is r

6 0
3 years ago
Is 5p+5c equal to 5(p+c)
melisa1 [442]
When using distributive properties yes.
8 0
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Find the <br> x-intercept and <br> y-intercept of the line.
vova2212 [387]
<h3><u>The x intercept is at (-7, 0).</u></h3><h3><u>The y intercept is at (0, 1).</u></h3>

To find both the x and the y intercept, we need to solve one at a time.

For the x intercept, we need to make the value of y equal to 0, and solve for x.

-x + 7y = 7

-x + 7(0) = 7

-x = 7

Multiply both sides by -1.

x = -7

The x intercept is -7.


Now for the y intercept.

-(0) + 7y = 7

7y = 7

Divide both sides by 1.

y = 1

The y intercept is at 0, 1.

5 0
3 years ago
Graph the function and analyze it for domain, range, continuity, increasing or decreaseing behavior, symmetry, boundedness, extr
Sunny_sXe [5.5K]

Answer:

f(x) = 3 \cdot 0.2^x

Step-by-step explanation:

f(x) = 3 \cdot 0.2^x


Domain of f: "What values of x can we plug into this equation?" This makes sense for all real numbers so the domain is \mathbb{R}

Range of f: "What values of f(x) can we get out of the function?" From the graph we see we can get any real number greater than 0 out of the function by choosing a suitable x-value in the domain. The range is therefore (0, \infty).

Continuity: Since the graph is one, unbroken curve (i.e. a curve that can be drawn in one movement without taking your pen off the paper). We see that "roughly speaking" the function is continuous.

Increasing or decreasing behaviour: For all x in the domain, as x increases, f(x) decreases. This means the function exhibits decreasing behaviour.

Symmetry: It is clear to see the graph of f(x) has no symmetry.

Boundedness: Looking at the graph we see it is unbounded above as when we choose negative values, the graph of f(x) explodes upwards exponentially. Choose a value of x, plug it in, next choose (x-1), plug this in and we observe f(x-1) > f(x) for all x in the domain.

The function is however bounded below by 0: no value of x in the domain exists which satisfies f(x) < 0.

Extrema: As far as I can tell, there are no turning points on the curve. (Is this what you mean by extrema?)

Asymptotes: Contrary to the curve's appearance, there are no vertical asymtotes for this curve. The negative-x portion of the curve is just growing so quickly it appears to look like an asymptote. There is a value of f(x) for all x<0. There is however a horizontal asymtote: y=0.

End behaviour: As x \rightarrow \infty, f(x) \rightarrow 0. As x \rightarrow -\infty, f(x) \rightarrow +\infty

5 0
3 years ago
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