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Maslowich
3 years ago
15

In the expression -5g12 whIn the expression -5g12 which part is the coefficient?ich part is the base?

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression -5g_{12}. The base would be the little subscript number that is next to the variable, so the base in the expression -5g_{12} is 12.

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Answers:<br> A x=6<br> B x= Square Root 80<br> C x=2<br> D x= Square Root 164
uysha [10]

Answer:

x=6

Step-by-step explanation:

Hypotenuse is 10 because it is the opposite of the right angle

8^2+x^2=10^2

64+x^2=100

x^2=36

x=6

3 0
2 years ago
What is the speed of a bus that travels 250 km in 2 hours
Ber [7]
The speed of a bus that travels 250 km in 2 hours is 145 because you have to divide 250 km and 2 hours which gives 145.

Hope this helps:)
8 0
3 years ago
Read 2 more answers
15=29-x<br> x=??????????????
zhuklara [117]

15 = 29 - x

15 + x = 29

x = 29 - 15

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6 0
2 years ago
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
What’s the slope perpendicular line of <br> 4x + 6y = 8
SVETLANKA909090 [29]

Answer:

3/2

Step-by-step explanation:

1) Convert into the slope intercept formula.

4x + 6y = 8

6y = -4x + 8

y = -4/6 + 4/3

y = -2/3 + 4/3

2) Find the opposite reciprocal of the slope.

The opposite reciprocal of -2/3 is 3/2.

The perpendicular slope of the line 4x + 6y = 8 is 3/2.

6 0
3 years ago
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