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3 years ago

Which of the following is true for f(x) = –2sin(x) – 3?

Mathematics

1 answer:

Finger [1]3 years ago

8 0

Answer: Option C is correct!

Step-by-step explanation:

The range of function is [-1,-5] . so first option is incorrect.

Since graph of the function f(x)=-2sin(x) is shifted down by 3 because of -3

therefore option B is incorrect.

Period of the given function is 2pi because here b =1 and period of sinx function is given by $\frac{2\pi }{b}$ therefore option D is also incorrect

Period of the function f(x) is always absolute value number in front of sinx which is given to be 2 here therefore option C is correct.!

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Graph the systems of equations. {2x+y=8 −x+2y=6 Use the Line tool to graph the lines.

Nitella [24]

Answer:

See attachment

Step-by-step explanation:

We want to graph the system

2x+y=8

-x+2y=6

Let us rewrite the lines in slope intercept form:

y=-2x+8

$y=\frac{1}{2}x+3$

The first line has a slope of -2 and a y-intercept of 8

The second line has a slope of 1/2 and a y-intercept of 3

We can no graph the lines as shown in the attachment.

3 0

2 years ago

If y=2x+3 find the value of y when x=5

Alex73 [517]

Y is 13 when you solve the problem

8 0

3 years ago

Read 2 more answers

What operation is implied between the whole number and fraction parts of the mixed number 4 2/3

agasfer [191]

Answer:

Step-by-step explanation:

7 0

3 years ago

Question 6

Firdavs [7]

So hmmmmm, notice... the boat went up in 3hrs, came back to the starting point in 2hrs, it went up 108km, it came back, well, from 108km to distance 0, so the distance on the way back is just the same 108km

now... let's say the stream has a speed rate of "r", and the boat has a still water speed rate of "b"

bear in mind that, when the boat is going UP, is not really going "b" fast, because the stream's "r" rate is going against it, and thus subtracting "r" from "b", so is really going " b - r " fast

when the boat is going down, is not going "b" fast either, because, again the stream's rate "r" is adding to it, because is going with the current, so is really going " b + r " fast

now, recall your d =rt, distance = rate * time

$\bf \begin{array}{lccclll}
&distance&rate&time\\
&-----&-----&-----\\
upstream&108&b-r&3\\
downstream&108&b+r&2
\end{array}\\\\
-------------------------------\\\\
\begin{cases}
108=3(b-r)\implies \frac{108}{3}=b-r\\
\qquad 36=b-r\implies 36+r=\boxed{b}\\\\
108=2(b+r)\implies 54=b+r\\
\qquad 54=\boxed{36+r}+r
\end{cases}$

solve for "r"

what's b? well, 36+ r = b

7 0

3 years ago

QUESTION 4 of 10: You have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised

puteri [66]

Answer:

We conclude that will rent be at the end of this year 937.125$.

Step-by-step explanation:

We know that we have budgeted $850 per month for rent. Your landlord has just informed you that your rent is being raised by 5% now and another 5% on December 1st.

We calculate

$\frac{850}{100}=8.5\\\\5\cdot 8.5=42.5\\\\850+42.5=892.5\\$

now, we get

$\frac{892.5}{100}=8.925\\\\5\cdot 8.925=44.625\\\\892.5+44.625=937.125\\$

We conclude that will rent be at the end of this year 937.125$.

4 0

3 years ago