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jekas [21]
3 years ago
5

Find the inverse of the function f(x) =x^2-5. Is the inverse a function?

Mathematics
1 answer:
Mariana [72]3 years ago
8 0
Y=x^2-5, solve for x

y+5=x^2

x=√(y+5) so 

f^-1(x)=√(y+5)
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Graph the line that has slope 1/2 and y intercept (0,-1).
puteri [66]

Answer: I added an attachment of what the graph should look like! :)

Step-by-step explanation:

5 0
2 years ago
Molly watches television 3 hours less than Leslie in one
tester [92]

Answer:

69 hours

Step-by-step explanation:

just subtract 72-3 and 69 is the answer

3 0
2 years ago
Read 2 more answers
Find the area of each figure. round to the hundredths place when necessary
notsponge [240]

Answer:

115.48m^{2}

Step-by-step explanation:

This shape can be split into two distinct shapes

Two halves of a semi circle, and a rectangle in between

Circle:

Putting both halves of the semi circle together will give you a full circle. The diameter of the circle is given (7m).

The area of a circle is A = π r^{2}

The radius, r, is half of the diameter, so 7 / 2 = 3.5m

A = π r^{2}

A = π * 3.5^{2}

A = 38.38m^{2}

Rectangle:

The area of a rectangle is A = h b

The height, h, is known at 7m

The base, b, can be found by removing the length from the dot to the end of the semi circles. This length is the radius of the semi circles, 3.5m

Removing the radius from the total length given

18 - 3.5 - 3.5 = 11m

The base is 11m

A = h b

A = 7 * 11 = 77m^{2}

Total Area = Circle area + Rectangle area

Total Area = 38.38 + 77 = 115.48m^{2}

6 0
3 years ago
The population of a community is known to increase at a rate proportional to the number of people present at time t. If the popu
Lady bird [3.3K]

Answer:

P(t) = P(0)e^{0.0693t}

Step-by-step explanation:

The population of a community is known to increase at a rate proportional to the number of people present at time t.

This means that the population growth is modeled by the following differential equation:

\frac{dP(t)}{dt} = rP(t)

Which has the following solution:

P(t) = P(0)e^{rt}

In which P(t) is the population after t years, P(0) is the initial population and r is the growth rate.

The population has doubled in 10 years

This means that P(10) = 2P(0). We use this to find r.

P(t) = P(0)e^{rt}

2P(0) = P(0)e^{10r}

e^{10r} = 2

\ln{e^{10r}} = \ln{2}

10r = \ln{2}

r = \frac{\ln{2}}{10}

r = 0.0693

So the equation that will estimate the population of the community in t years is:

P(t) = P(0)e^{0.0693t}

6 0
3 years ago
Math quick i need help hurry 15 points :)
schepotkina [342]

Answer:

B

Step-by-step explanation:

I don't know how to explain it but

10/2=5 (Driver A)

20/2= 10 (Driver B)

Sorry if it's not right

4 0
3 years ago
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