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Pavel [41]
3 years ago
5

Which of the following is an even function

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0
An even function is a function where positive and negative values of x give you the same result.

Where f(2) = f(-2) and f(3) = f(-3)

To formally check it, you need to evaluate f(-x) and see if you get the original function back.

Graphically, an even function is symmetrical over the y-axis.

The only graph here that does all of that is f(x) = |x|
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Jon ran 4 miles in 35<br> minutes. How long did it<br> take him to run a mile
sesenic [268]

Answer:

35/4 minutes per mile

Step-by-step explanation:

rate = time/distance, therefore the answer is 35/4

4 0
2 years ago
A 20 ft. ladder is used against a 15 ft. wall. What is the measure of the angle made by the ladder and the ground (nearest whole
Brrunno [24]

Step-by-step explanation:

Given that,

The length of a ladder, H = 20 feet

The height of the wall, h = 15 ft

We know that,

\sin\theta=\dfrac{h}{H}

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So,

\sin\theta=\dfrac{15}{20}\\\\\theta=\sin^{-1}(\dfrac{15}{20})\\\\\theta=48.59^{\circ}

Now using Pythagoras theoerm,

b=\sqrt{H^2-h^2}\\\\b=\sqrt{20^2-15^2}\\\\b=13.2\ ft

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.

6 0
2 years ago
Rewrite the radical exponent as a radical
shepuryov [24]
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3 0
2 years ago
Determine the solution to f(x) = g(x) using the following system of equations: f(x) = 3x + 12 g(x) = -9.5x - 13
Anit [1.1K]
Answer:

x=2

Step by step:
f(x)=g(x)

3x+12= -9.5x-13 simplifies to the equation below

3x+9.5x= -13-12

12.5x= -25
next, divide by 12 on both sides to isolate the variable, x.

12.5x/12 = -25/12

x=-2

to check: 3(-2)+12= -95x(-2)-13
-6+12= 19-13
6=6 ✅
7 0
2 years ago
Read 2 more answers
$1,240 at 8% compounded<br> annually for 2 years
saw5 [17]
The answer is $1,446.33. 1,240 x 8% = $99.20 $1,240 + $99.20 = $1,339.20. $1,339.20 x 8% = $107.13 $1,339.20 + $107.13 = $1,446.33. Hope I could help! :D
4 0
2 years ago
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