All categories

2 years ago

What’s the answer and how do u get it

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

4 0

9514 1404 393

Answer:

(d) domain: 0 ≤ x ≤ 4; range: -1 ≤ y ≤ 7

Step-by-step explanation:

The graph of the inverse of a function is a reflection of the function's graph across the line y=x. The table values are obtained by swapping the x- and y-labels. This is shown in the attachment.

You might be interested in

Find all rational roots for p(x)=0

Olenka [21]

Answer

C. (5/2, -1/3)

Step by step explanation

Here we use the rational root theorem.

The possible roots are

+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6

We have to use the synthetic division to find the correct root of this function.

Here the roots are 5/2 and -1/3

Others are not roots of this function.

Let's check x = 5/2 with synthetic division.

5/2) 6 -13 13 -39 -15

- 15 5 45 15

--------------------------

6 2 18 6 0

Similarly x = -1/3 is also root of this function.

Answer: C. (5/2, -1/3)

8 0

2 years ago

What is 5 multiplied by 2/7 as a mixed number

ivolga24 [154]

10/7 which equals 1 and 3/7

5 0

3 years ago

Read 2 more answers

Save me the headache

maxonik [38]

$(9\sin2x+9\cos2x)^2=81$

Taking the square root of both sides gives two possible cases,

$9\sin2x+9\cos2x=9\implies\sin2x+\cos2x=1$

$9\sin2x+9\cos2x=-9\implies\sin2x+\cos2x=-1$

Recall that

$\sin(\alpha\pm\beta)=\sin\alpha\cos\beta\pm\cos\alpha\sin\beta$

If $\alpha=2x$ and $\beta=\dfrac\pi4$ , we have

$\sin\left(2x+\dfrac\pi4\right)=\dfrac{\sin2x+\cos2x}{\sqrt2}$

so in the equations above, we can write

$\sin2x+\cos2x=\sqrt2\sin\left(2x+\dfrac\pi4\right)=\pm1$

Then in the first case,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=1\implies\sin\left(2x+\dfrac\pi4\right)=\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=\dfrac\pi4+2n\pi\text{ or }\dfrac{3\pi}4+2n\pi$

(where $n$ is any integer)

$\implies2x=2n\pi\text{ or }\dfrac\pi2+2n\pi$

$\implies x=n\pi\text{ or }\dfrac\pi4+n\pi$

and in the second,

$\sqrt2\sin\left(2x+\dfrac\pi4\right)=-1\implies\sin\left(2x+\dfrac\pi4\right)=-\dfrac1{\sqrt2}$

$\implies2x+\dfrac\pi4=-\dfrac\pi4+2n\pi\text{ or }-\dfrac{3\pi}4+2n\pi$

$\implies2x=-\dfrac\pi2+2n\pi\text{ or }-\pi+2n\pi$

$\implies x=-\dfrac\pi4+n\pi\text{ or }-\dfrac\pi2+n\pi$

Then the solutions that fall in the interval $[0,2\pi)$ are

$x=0,\dfrac\pi4,\dfrac\pi2,\dfrac{3\pi}4,\pi,\dfrac{5\pi}4,\dfrac{3\pi}2,\dfrac{7\pi}4$

5 0

3 years ago

Read 2 more answers

Coyne Corporation is evaluating a capital investment opportunity. This project would require an initial investment of $36,000 t

Zarrin [17]

Answer:

$27,643

Step-by-step explanation:

The net present value is the present value of after tax cash flows from an investment less the amount invested.

The formula for the NPV can be found in the attached image.

The NPV can be found using a financial calculator:

The cash flow for year zero = $-36,000

Cash flow from year one to three = $19,000

Cash flow for year four =$19,000 + $5,000 = $24,000

I = 10%

NPV = $27,643

I hope my answer helps you

5 0

3 years ago

You buy 22 T-shirts in a sale. You pay the full price of $12$12 for the first T-shirt, and you get the second T-shirt for half t

Mice21 [21]

3/4 I do believe
...................

6 0

2 years ago