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Feliz [49]
3 years ago
8

30-x=(-12) What is the variable?

Mathematics
2 answers:
inn [45]3 years ago
4 0
It would be 42 becuase 30-42 would = -12
diamong [38]3 years ago
3 0
The variable is x  x equals 42
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If rectangle WXYZ is slid three units to the right what will be the coordinates of point W?
Katen [24]
<span>C) (3, 5)                                                                                                                 i hope that help </span>
4 0
3 years ago
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What is 5,384,981 to the nearest ten-thousands place?​
Harlamova29_29 [7]

Answer:

5,380,000

Step-by-step explanation:

8 0
3 years ago
1. 0 = 2x2 + 17x + 30
Anna11 [10]

Answer:

Simplify the equation and find the value of x

Step-by-step explanation:

1 = 34 + 17x \\  - 17x =  - 1 + 34 \\ 17x =  - 33 \\  \\ x =  -  \frac{33}{17}

8 0
2 years ago
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Help me do this …math
Daniel [21]

Step-by-step explanation:

How to find inverse function:

Step 1: Write down equation.

f(x) = 4 \sin(x)  + 3

Remeber Ruler notation that

f(x)=y so we replace y with f(x).

y = 4 \sin(x)  + 3

Next, we must isolate x so first we subtract 3.

y - 3 = 4 \sin(x)

Divide both sides by 4.

\frac{y - 3}{4}  =  \sin(x)

\sin {}^{ - 1} ( \frac{y - 3}{4} )  =  \sin {}^{ - 1} ( \sin(x) )

Remeber that sin^-1x and sin x are inverse functions so they will cancel out to x. So we get

\sin {}^{ - 1} ( \frac{y - 3}{4} )  = x

Swap x and y. So our inverse function is

\sin {}^{ - 1} ( \frac{x - 3}{4} )  = y

If you want another proof: Here's one,

Let plug an a x value for the orginal equation,

4 sin x+3. Let say that

x =  \frac{\pi}{2}

We then would get

4 \sin( \frac{\pi}{2 } )  + 3 = 4 \times (1) + 3 = 4 + 3 = 7

So when x=pi/2, y=7.

By definition of a inverse function, if we let 7 be our input, we should get pi/2. as a output.

So let see.

\sin {}^{ - 1} ( \frac{7 - 3}{4} )  =  \sin {}^{ - 1} ( \frac{4}{4} )  =  \sin {}^{ - 1} (1)  =  \frac{\pi}{2}

So this is the inverse function of 4 sin x+3.

1b. The range of f(x) is [-1,7).

We can use transformations to describe range.

We have

f(x) = 4 \sin(x)  + 3

Parent function is

\sin(x)

with a range of [-1,1].

We then vertical stretch by 4 so we get

4 \sin(x)

and our range will be

[-4,4].

Then we add a vertical shift of 3.

4 \sin(x)  + 3

So our range of 4 sin x+3.

[-1,7].

1c. Domain of a inverse function is the range of the orginal function.

The range of f(x) is [-1,7) so the domain of f^-1(x) is [-1,7].

f(x) domain was restricted to -pi/2 to pi/2 so the range of f^-1(x) is [-pi/2, pi/2]

6 0
2 years ago
Find the 64th term of the following arithmetic sequence.<br> 6, 14, 22, 30,
olga55 [171]

Answer:

<h2>510</h2><h2 />

Step-by-step explanation:

30-22=8

22-14=8

14-6=8

then

→ the common difference r = 8

→ the first term = 6

THerefore, (accoriding to the standard explicit formula)

the 64th term = term 1 + (64 - 1)×r

                       = 6 + 63×8

                       = 510

7 0
3 years ago
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