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erma4kov [3.2K]
4 years ago
7

HELPPPP!!! Select the correct answer. Which function is an even function?

Mathematics
1 answer:
jonny [76]4 years ago
7 0

Answer:

C.

Step-by-step explanation:

p(x)=sin(x) is an odd function since sin(-x)=-sin(x).

q(x)=cos(x) is an even function since cos(-x)=cos(x).

r(x)=tan(x) is an odd function since tan(-x)=-tan(x).

s(x)=csc(x) is an odd function since csc(-x)=-csc(x).

So the only contender seems to be C.

Let's check.  To check we have to plug in (-x) in place of (x) and see if we get the same function back since we are looking for an even function.

f(x)=\cos(\frac{5\pi}{4}x)

Replace (x) with (-x):

f(-x)=\cos(\frac{5\pi}{4}(-x)

f(-x)=\cos(\frac{-5\pi}{4}x)

f(x)=\cos(\frac{5\pi}{4}x) since cosine is even; that is cos(-u)=cos(u) where u in this case is \frac{5\pi}{4}x.

So f is even.

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Answer:

The point means that when the player's shoe size was 12, their height was 74 inches

Step-by-step explanation:

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3 years ago
An appropriations bill passes the U.S. House of Representatives with 83 more members voting in favor than against. If all 435 me
Debora [2.8K]

Answer:

  • 259 in favor
  • 176 against

Step-by-step explanation:

Let "a" represent the number against. Then (435-a) is the number in favor, and the difference is ...

  (435-a) -a = 83

  435 -83 = 2a . . . . . . add 2a-83

  176 = a . . . . . . . . . . . .divide by 2

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259 members voted in favor; 176 members voted against.

8 0
3 years ago
What is an equation for this line?
Sedbober [7]

Answer:

The equation of the line is y=-x

Step-by-step explanation:

To find the equation for a line, we need to know 2 points.

One of the points is (0,0) because it goes through the origin.  Another point is (5,-5).  We can calculate the slope because we have 2 points using the formula.

m = (y2-y1)/(m2-m1)

m = (-5-0)/(5-0)

m = -5/5

m=-1

The slope is -1

We know the y intercept (where it crosses the y axis) is 0.  Using the slope intercept form of a line

y = mx+b

y =-1x+ 0

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6 0
3 years ago
What is the sum of the two largest numbers in the list
Dmitriy789 [7]

Answer:

\frac{25}{39}

Step-by-step explanation:

The given numbers are

\frac 13,~\frac 27,~\frac 3{10},~\frac 4{13},~\frac 5{17}

We need to find the sum of the two largest numbers in the list.

The values of each number are

\frac{1}{3}=0.33..

\frac{2}{7}\approx 0.286

\frac{3}{10}=0.3

\frac{4}{13}\approx 0.308

\frac{5}{17}\approx 0.294

Using these we can say that

\frac{2}{7}

It means two largest numbers in the list are \frac{4}{13}\text{ and } \frac{1}{3}.

The sum of these two number is

Sum=\frac{4}{13}+\frac{1}{3}

Sum=\frac{4\cdot 3+1\cdot 13}{39}

Sum=\frac{25}{39}

Therefore, the sum of the two largest numbers in the list is \frac{25}{39}.

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3 years ago
NEED ANSWERS NOW!! (Reward) brainlest and pointsss
geniusboy [140]

Answer:

D

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form use the method of completing the square.

Given

f(x) = - 0.6x² + 4.2x + 240 ← factor out - 0.6 from the first 2 terms

     = - 0.6(x² - 7x) + 240

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² - 7x

f(x) = - 0.6(x² + 2(- 3.5)x + 12.25 - 12.25 ) + 240

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with vertex = (3.5, 247.35 )

The maximum value is the y- coordinate of the vertex

Then

f(x) = - 0.6(x - 3.5)² + 247.35 has a maximum value of 247.35

5 0
3 years ago
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