Find the constant rate of change for the graph.

Mathematics

1 answer:

anyanavicka [17]3 years ago

6 0

The constant rate of change is 2/3

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Find the equation of the line with slope m=1/4 that contains the point (4,5).

sladkih [1.3K]

Answer: x - 4y = -16

Step-by-step explanation: Since we're given a point and a slope, we can write the equation of this line using the point-slope formula.

The given point, (4, 5), represents (x₁, y₁).

So if we plug all our given information into the formula,

including our slope of 1/4, we get y - 5 = 1/4(x - 4).

To put our equation in standard form, first, distribute

the 1/4 through the parentheses.

So we get y - 5 = 1/4x - 1.

Remember that standard form cannot have any fractions in it so our next step is to multiply both sides of the equation by 4 to get rid of the fraction.

That gives us 4y - 20 = x - 4.

Now moves the -20 to the right side by adding 20 to both sides.

So we get 4y = x + 16.

Now subtract x from both sides to get -x + 4y = 16.

Finally, our coefficient on our x term must be positive so we

divide both sides by -1 to get x - 4y = -16.

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2 years ago

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. It bounces back up with every bounce,

Mariana [72]

Answer:

16.4 m to the nearest tenth.

Step-by-step explanation:

After the first bounce it rises to a height of 50*0.8 = 40 m.

After the next bounce it rises to 50*(0.8)^2 = 32 m

So after the 5th bounce it rises to 50(0.8)^5 = 16.4 m. (answer).

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3 years ago

John has 48 cm tiles he wants to use to create a mosaic he wants the mosaic to be rectangular with the length that is 2 cm longe

bonufazy [111]

I need help my dang self

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2 years ago

According to a survey of adults, 64 percent have money in a bank savings account. If we were to survey 50 randomly selected adul

zheka24 [161]

Answer:

The mean number of adults who would have bank savings accounts is 32.

Step-by-step explanation:

For each adult surveyed, there are only two possible outcomes. Either they have bank savings accounts, or they do not. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$