Can someone solve this with an explanation?

Mathematics

1 answer:

Readme [11.4K]3 years ago

5 0

The correct answer is C

You might be interested in

At what x-values do the graphs of the functions y=cos 2x and y = cos^2 x-1 intersect over the interval 0 ≤ x ≤ pi. There must be

baherus [9]

Answer:

$x=\frac{\pi}{2}$ and $x=\frac{3\pi}{2}$

Step-by-step explanation:

We need to solve the 2 equations to figure out the x-values (intersecting points).

Note: The identity $cos^{2}x=\frac{1}{2}+\frac{1}{2}cos(2x)$

$cos(2x)=cos^{2}(x)-1\\cos(2x)=(\frac{1}{2}+\frac{1}{2}cos(2x))-1\\cos(2x)=\frac{1}{2}cos(2x)-\frac{1}{2}\\\frac{1}{2}cos(2x)=-\frac{1}{2}\\cos(2x)=-1\\2x=cos^{-1}(-1)\\2x=\pi, 3\pi\\x=\frac{\pi}{2}, \frac{3\pi}{2}$

So they intersect at $x=\frac{\pi}{2}, \frac{3\pi}{2}$

4 0

3 years ago

Read 2 more answers

$1.12 for 8.2 ounces? Unit Rate

Reil [10]

That is around 13 or 14 cents. The specific answer is 13.65853659 cents, but you can either round up to 14 or round down to 13 (rounding up to 14 is the correct way to do it.)

First you divide 1.12 by 8.2 to get the unit rate because It takes $1.12 to buy 8.2 ounces. 1.12/8.2=13.65853659

4 0

3 years ago

4x + 1 = 2x – 5 can someone help me. Whoever gets it right gets it right gets brainliest

castortr0y [4]

Answer:

x=-3

Step-by-step explanation:

subtract "2x" to "4x + 1" and that'll leave -5 by itself and leave 2x+1 on the left and -5 on the right then subtract -1 to -5 and it'll add up to -6 then after that you'd divide 2x to -6 and get -3 and it'll leave 'x' by itself so therefore X = -3

3 0

3 years ago

Read 2 more answers

Please help me on this. you need to match the terms to the correct number.

Gnom [1K]

Answer:

64=8

49=7

36=6

25=5

100=10

16=4