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andrezito [222]
2 years ago
11

Which function has an inverse that is also a function?

Mathematics
1 answer:
aalyn [17]2 years ago
4 0

Answer: 1st, 3rd, and 4th functions

Step-by-step explanation:

Assuming k(x)=9x^2, all the other functions have inverses because they are linear, meaning they must be one-to-one.

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JNZ~ KOA. Find the unknown measures
shepuryov [24]

Answer:

<h2>x = 8.5in, y = 17in, r = 28°, s = 62°</h2>

Step-by-step explanation:

If ΔJNZ and ΔKOA are similar, then corresponding sides are in proportion and corresponding angles are congruent.

We have the proportion:

\dfrac{JN}{KO}=\dfrac{NZ}{OA}=\dfrac{ZJ}{AK}

and equations:

m\angle N=m\angle O=90^o\\m\angle Z=m\angle A=28^o\\m\angle J=m\angle K=62^o

We have:

JN=8\ in,\ NZ=15\ in,\ KO=4\ in,\ AK=x\ in,\ ZJ=y\ in

For y we must use the Pythagorean theorem:

ZJ^2=JN^2+NZ^2\\\\y^2=8^2+15^2\\\\y^2=64+225\\\\y^2=289\to y=\sqrt{289}\\\\y=17\ in

\dfrac{JN}{KO}=\dfrac{ZJ}{AK}\to\dfrac{8}{4}=\dfrac{17}{x}        <em>cross multiply</em>

8x=(4)(17)

8x=68          <em>divide both sides by 8</em>

x=8.5\ in

4 0
2 years ago
Read 2 more answers
A line with a slope of 9/7 passes through the point (7, 14).What is its equation in slope -intercept form?
ad-work [718]

Answer:

y=9/7x+5

Explanation:

We have the slope, and a point that is not an intercept. We can use Desmos graphing calculator to test y-intercepts.

6 0
2 years ago
Adam went on a 54 \text { km}54 km54, start text, space, k, m, end text hike. He divided the distance traveled evenly over 666 d
astra-53 [7]

Answer:

9000 metres

Step-by-step explanation:

He went on a 54 km hike. First, we have to find this distance in metres.

1 km = 1000 m

54 km = 54 * 1000 = 54000 m

He divided the distance evenly over 6 days.

To find how many metres he walked each day, we divide the total distance he hiked by the number of days spent. That is:

54000 / 6 = 9000 metres

He walked 9000 metres each day.

8 0
3 years ago
If f(x) = x ^ 2 + 3 , then f(x+y)=?
kobusy [5.1K]

Answer:

f(x)=x^2+3

f(x+y)=(x+y)^2+3

this is done by replacing x with (x+y)

f(x+y)=x^2+2xy+y^2+3

therefore : f(x+y)= x^2+y^2+2xy+3

5 0
2 years ago
How does the graph of y=|x|+ 4 compare to the graph of the parent function y=|x|?​
neonofarm [45]

Answer:

Please check the explanation and attached graph.

Step-by-step explanation:

Given the parent function

y = |x|

In order to translate the absolute function y = |x| vertically, we can use the function

g(x) = f(x) + h

when h > 0, the graph of g(x) translated h units up.

Given that the image function

y=|x|+4

It is clear that h = 4. Since 4 > 0, thus the graph y=|x|+4 translated '4' units up.

The graph of both parent and translated function is attache below.

In the graph,

The blue line represents the parent function y=|x|.

The red line represents the image function y=|x| + 4.

It is clear from the graph that the y=|x| + 4  translated '4' units up.

Please check the attached graph.

3 0
2 years ago
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