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4 years ago

Graph the line x=-3

Mathematics

2 answers:

Nuetrik [128]4 years ago

7 0

I think you would put an x on the -3 on a number line idk but yeahhh

ycow [4]4 years ago

7 0

Theres the graph hope this helped

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A+B=37<br> A-B=9<br> Dau coroana

azamat

12-3=9
30+7=37
I believe you just plug in any two numbers that will come out to 9 when subtracted or 37 when added.

4 0

3 years ago

Solve 2(1 – x) > 2x<br> this is my question for algebra

Rudik [331]

To solve this, you need to isolate/get the variable "x" by itself in the inequality:

2(1 - x) > 2x Divide 2 on both sides

$\frac{2(1-x)}{2} >\frac{2x}{2}$

1 - x > x Add x on both sides to get "x" on one side of the inequality

1 - x + x > x + x

1 > 2x Divide 2 on both sides to get "x" by itself

$\frac{1}{2} >x$ or $x$ (x is any number less than 1/2)

[Another way you could've solved it]

2(1 - x) > 2x Distribute 2 into (1 - x)

(2)1 + (2)(-x) > 2x

2 - 2x > 2x Add 2x on both sides

2 - 2x + 2x > 2x + 2x

2 > 4x Divide 4 on both sides to get "x" by itself

$\frac{2}{4} >\frac{4x}{4}$

$\frac{1}{2} >x$

6 0

3 years ago

Can you deposit 1750 into investment account that will produce 6.05% annual interest the money was left in the car for two years

PSYCHO15rus [73]

Step-by-step explanation:

Find out how much you get money from the annual interest:

100% = 1750

1% = 1750 ÷ 100 = 17.5

6.05% = 17.5 x 6.05 = 105.87

Find out how much you get from interest in 2 years.

105.87 x 2 = 211.74

(Final answer)

4 0

3 years ago

A soccer team has played 25 games and has won 60% of the games and has played. WHat is the minimum number of additional games th

dybincka [34]

(15 games) is the minimum number of games the team must have played

4 0

3 years ago

Read 2 more answers

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

3 years ago