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3 years ago

Find the Average Rate of Change between the points given below.

1 answer:

4 0

Answer:
13.5

Explanation:
The equation to find the slope (another word for the rate of change) of the line is (y2-y1)/(x2-x1) when the given points are (x1,y1) and (x2,y2).

When we plug in the given points, (3,-7) and (5,20) we can start solving.

(y2-y1)/(x2-x1)
(20-(-7))/(5-3)
Two negatives make a positive
= (20+7)/(5-3)
= 27/2
= 13.5

I hope this helps!

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Over which part of the domain is the piecewise function defined as f(x) = 0.05x – 300?

vovikov84 [41]

Answer:it’s just b for future references

Step-by-step explanation:

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3 years ago

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A typical credit card company charges 18% annual interest,

AnnZ [28]

Answer:

$1,519

Step-by-step explanation:

Given that :

Balance = principal = $520

Time (t) = 6 years

Annual. Interest rate (r) = 18% = 0.18

Using the compound interest formula:

A = P(1 + r/n)^nt

n = number of times interest is applied per period ; A = final amount

Since interest is compounded monthly, n = 12

A = 520(1 + 0.18/12)^(12 * 6)

A = 520(1 + 0.015)^72

A = 520(1.015)^72

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Hence, final amount = $1519

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3 years ago

What is the amplitude of the sinusoid's graph? y = -4 sin 3x

GrogVix [38]

Answer:

Amplitude = 4

Step-by-step explanation:

The general form of a sine curve would be $y=ASin(bx)$ where A is the "amplitude", or the "tallness" or "shortness" of the graph.

Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.

Note: The negative sign in front of 4 plays the role of "flipping" the curve upside down.

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3 years ago

The number of cars sold weekly by a new automobile dealership grows according to a linear growth model. The first week the deale

marusya05 [52]

The number of cars that sold on the third week is (P3=26)

The number of cars that sold on the first week is (P4=33)

Step-by-step explanation:

Given:

The number of cars that sold on the first week is (P0=7)

The number of cars that sold on the second week is (P0=12)

We have to find the number of cars being sold on the upcoming week

From the data given above, frame the equation

Pn = Pn −1+7 ( 12-5=7 it denotes the cars sold in the first and the second week)

Pn=5+7n (cars in the first week and the cars sold in the second week into "n" n is used to find the cars sold in the upcoming weeks)

(If n=3)

Pn=5+7(3)

Pn=26

The number of cars that sold on the third week is (P3=26)

(If n=4)

Pn=5+7(4)

Pn=33

The number of cars that sold on the first week is (P4=33)

5 0

4 years ago

Find the distance between (3,4) and (4,-6) if necessary, round to the nearest tenth.

Ratling [72]

Answer:

The distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

Step-by-step explanation:

Given the points

(3,4)

(4,-6)

The distance 'd' between (3,4) and (4,-6)

$\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):$

$d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

substituting the points values

$=\sqrt{\left(4-3\right)^2+\left(-6-4\right)^2}$

$=\sqrt{1+10^2}$

$=\sqrt{1+100}$

$=\sqrt{101}$

$=10.0$ units (Rounded to the nearest the Tenths Place)

Thus, the distance is:

d = 10.0 units (Rounded to the nearest the Tenths Place)

4 0

3 years ago