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3 years ago

Write the equation for k(x) k(x) = 3x + 6

Mathematics

1 answer:

Travka [436]3 years ago

5 0

K-1(x) = 1/3x - 2

You can get this by switching the x and k(x) and then solve for the new k(x)

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Lisa is selling candles and soaps or a fundraiser. She sells a total of 24 items for a total of $112. If the candles sold for $4

Tcecarenko [31]

8 candles and 16 bars of soap.

You can solve this by setting up a system of equations.

x + y = 24
4x + 5y = 112

3 0

3 years ago

I give 20! Find the surface area. And without explanation please, I don’t have enough time.

oee [108]

Answer:

816 cm²

Step-by-step explanation:

Surface area of the composite figure = (surface area of the larger rectangular prism + surface area of the smaller rectangular prism) - area of the side of the smaller rectangular prism that is joined to the bigger prism.

✔️Surface area of the larger rectangular prism:

Area = L*W*H = 20*5*6 = 600 cm²

✔️surface area of the smaller rectangular prism:

Area = L*W*H = 12*4*6 = 288 cm²

✔️area of the side of the smaller rectangular prism that is joined to the bigger prism.

Area = L*W = 12*6 = 72 cm²

Surface area of the composite = (600 + 288) - 72 = 888 - 72 = 816 cm².

8 0

3 years ago

A multiple-choice question has 3 options. What is the percentage that you will choose the WRONG option?

sukhopar [10]

Answer:

66%

Step-by-step explanation: 2/3 is .66666666666666...

4 0

3 years ago

The population of a certain town was 10,000 in 1990. The rate of change of the population, measured in people per year, is model

Katena32 [7]

The question is incomplete. The complete question is :

The population of a certain town was 10,000 in 1990. The rate of change of a population, measured in hundreds of people per year, is modeled by P prime of t equals two-hundred times e to the 0.02t power, where t is measured in years since 1990. Discuss the meaning of the integral from zero to twenty of P prime of t, d t. Calculate the change in population between 1995 and 2000. Do we have enough information to calculate the population in 2020? If so, what is the population in 2020?

Solution :

According to the question,

The rate of change of population is given as :

$\frac{dP(t)}{dt}=200e^{0.02t}$ in 1990.

Now integrating,

$\int_0^{20}\frac{dP(t)}{dt}dt=\int_0^{20}200e^{0.02t} \ dt$

$=\frac{200}{0.02}\left[e^{0.02(20)}-1\right]$

$=10,000[e^{0.4}-1]$

$=10,000[0.49]$

=4900

$\frac{dP(t)}{dt}=200e^{0.02t}$

$\int1.dP(t)=200e^{0.02t}dt$

$P=\frac{200}{0.02}e^{0.02t}$

$P=10,000e^{0.02t}$

$P=P_0e^{kt}$

This is initial population.

k is change in population.

So in 1995,

$P=P_0e^{kt}$

$=10,000e^{0.02(5)}$

$=11051$

In 2000,

$P=10,000e^{0.02(10)}$

$=12,214$

Therefore, the change in the population between 1995 and 2000 = 1,163.

8 0

3 years ago

Solve the two-step equation.− 23 x – 214 = 274x =

Pachacha [2.7K]

U have to divide the numbers with the variables and then you'll get knocked down to the division and u have your answers and it is possible to have 1 or 2 answers v

4 0

3 years ago

Read 2 more answers