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3 years ago

Which function has an inverse that is a function?

Mathematics

2 answers:

shusha [124]3 years ago

7 0

Answer:

C. -7x

Step-by-step explanation:

Only one of the offered choices passes the horizontal line test: at most one point of intersection with any horizontal line.

A: a parabola opening upward, so will have two points of intersection with a general horizontal line (only one at the vertex).

B: a horizontal line, so will have an infinite number of points of intersection with a horizontal line.

D. A "V-shaped" graph that will generally have two points of intersection with a horizontal line (only one at the vertex).

katen-ka-za [31]3 years ago

7 0

Answer:

m(x)=-7x C

Step-by-step explanation:

Edge

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laila [671]

Answer:

Step-by-step explanation:

Complementary angles are two angles whose measures add to 90°.

m<CFD = 150° - 100° = 50°

m<EFD = 180° - 150° = 30°

Sum = 80°

m<AFB = 40°

m<DFE = m<EFD = 30°

Sum = 70°

m<AFC = 100°

Sum > 100°

m<BFC = 100° - 40° = 60°

m<DFE = 30°

Sum = 90°

Yes

Answer: D.

8 0

2 years ago

a square with sides of length 5 is positioned inside a square with sides of length 7. What is the total area between the squares

Vlad [161]

5x7=35
your answer is 35 hope i helped

3 0

3 years ago

Read 2 more answers

What is 6 divided by 3999 divided by 10021

Dvinal [7]

Answer:

0.00000014972309

Step-by-step explanation:

6/3999=0.00150037509

0.00150037509/10021= 0.00000014972309

hope this helps

4 0

4 years ago

What is the sum of the first five terms of a geometric series with a = 10 andr<br> = 1/5?

Zinaida [17]

Answer:

12.496

Step-by-step explanation:

Here, to calculate the sum of the first five terms of the series, we use the formula for the sum of terms in a geometric series.

Mathematically, that would be;

Sn = a(1-r^n)/1-r

where Sn = ?

a = 10

r = 1/5 = 0.2

n = 5

Substituting these values into the equation above, we have;

Sn = 10(1-(0.2)^5)/1-0.2

Sn = 10(0.99968)/0.8

Sn = 12.496

3 0

3 years ago

Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile in the shape of a right circu

Sunny_sXe [5.5K]

Answer:

0.0221 feet per minute.

Step-by-step explanation:

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

If the Base Diameter = Height of the Cone

The radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

Rate of Change of the Volume, $\dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Since gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. Therefore, the Volume of the cone is increasing at a rate of 10 cubic feet per minute.

$\dfrac{dV}{dt}=10$ ft^3/min$

We want to determine how fast is the height of the pile is increasing when the pile is 24 feet high.

We have:

$\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=10\\\\$When h=24$ feet$\\\dfrac{3\pi *24^2}{12}\dfrac{dh}{dt}=10\\144\pi \dfrac{dh}{dt}=10\\ \dfrac{dh}{dt}= \dfrac{10}{144\pi}\\ \dfrac{dh}{dt}=0.0221$ feet per minute$

When the pile is 24 feet high, the height of the pile is increasing at a rate of 0.0221 feet per minute.

4 0

3 years ago