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iren [92.7K]
4 years ago
11

A certain function is defined as "multiply the input by -3/4,then add 2 I need the function rule asap

Mathematics
2 answers:
Kaylis [27]4 years ago
8 0

Answer:

y=-\frac{3}{4}x +2

The graph in the attached figure

Step-by-step explanation:

Let

x-------> the input (independent variable)

y-------> the output (dependent variable)

we know that

The equation that represent the situation is equal to

y=-\frac{3}{4}x +2

This is a linear equation

To graph the line find the intercepts

The y-intercept is equal to the point (0,2) ---> value of y when the value of x is equal to zero

The x-intercept is equal to the point (2.667,0) ---> value of x when the value of y is equal to zero

Plot the points

the graph in the attached figure

Olegator [25]4 years ago
7 0
Hi there!

The answer is:
y = - \frac{3}{4} x + 2

Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2

y = - \frac{3}{4} x + 2

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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the temperature is 80 degrees at midnig
Vladimir [108]

Answer:

The equation is given by:

D(t) = 80 + 9\sin{0.2618t}

Step-by-step explanation:

Sine function:

Has the following format:

y = A\sin{bx}

In which A is the amplitude and \frac{2\pi}{b} is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that A = 9

During a 24-hour day, which means that the period is 24. So

\frac{2\pi}{b} = 24

24b = 2\pi

b = \frac{2\pi}{24}

b = 0.2618

So the variation is:

V(t) = 9\sin{0.2618t}

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}

8 0
3 years ago
A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she’s made 1,200 coffees?
nignag [31]

Answer:

75 hours

Step-by-step explanation:

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

5 0
3 years ago
Marcus bought a booklet of tickets to use at the amusement park. He used 25% of the tickets on rides, 1/4 of the tickets on vide
Jobisdone [24]

Answer:


Step-by-step explanation:


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3 years ago
The sum of two numbers is 82. The difference of the two numbers is 62. What are the two numbers?
Alja [10]

Answer

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Step-by-step explanation:

82-2=80-60=20+2=22

4 0
3 years ago
What is the slope of the line passing through (1, 2) and (3, 8)?
klio [65]

Answer:

slope is 3

Step-by-step explanation:

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7 0
3 years ago
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