Is (0,2) (1,0) (2,-2) (3,-4) a function

Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall f

spin [16.1K]

Answer:

Part 1) 0.50 inches

Part 2) 1.14 inches

Part 3)

a) 1.25 inches

b) -0.32 inches

Step-by-step explanation:

The complete question in the attached figure

Part 1) Last June only 0.17 inches of rain fell all month. What is the difference between the average rainfall and the actual rainfall for the last June

Let

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

The difference between the average rainfall and the actual rainfall for the last June is given by the expression

$(x-y)$

we have

$x=0.67\ in\\y=0.17\ in$

substitute

$0.67-0.17=0.50\ in$

Part 2) The departure from the average rainfall last July was -0.36 inches. How much rain fell last July?

we know that

The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month

Let

D -----> the departure from the average

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

so

$D=y-x$

we have

$D=-0.36\ in\\x=1.5\ in$

substitute the given values

$-0.36=y-1.5$

solve for y

$y=1.5-0.36\\y=1.14\ in$

Part 3)

<u>Part a)</u> How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?

<u>Part b</u>) What would the departure from the average be in August in that

situation?

Part a) How much rain would have to fall in August so that the total amount of rain equals the average rainfall for these three months?

Find the average rainfall for these three months

Adds the average rainfall and divide by 3

$(0.67+1.5+1.57)/3=1.25\ in$

Part b) What would the departure from the average be in August in that

situation?

we know that

The departure from the average is the difference between the actual amount of rain and the average amount of rain for a given month

Let

D -----> the departure from the average

x ----> the average rainfall for the last June

y ----> the actual rainfall for the last June

so

$D=y-x$

we have

$x=1.57\ in\\y=1.25\ in$

substitute the given values

$D=1.25-1.57=-0.32\ in$

7 0

4 years ago

3y + 8 + (-7y) +9 expression in an equivalent. a) -10y +1 b) -4y + c) -9y d) 3y

Gennadij [26K]

Answer:

Step-by-step explanation:

3y + 8 +(-7y) + 9 =

3y + 8 - 7y + 9 =

-4y + 17

8 0

3 years ago

1. A weight suspended from a spring is set into oscillating motion by compressing it to a

Naya [18.7K]

Question:

Complete question for this is to find the equation for this and may be the graph.

Explanation:

As for the oscillation motion, initially peak is occurring hence it will be a cosine function with peak value of 3(cm).

To calculate time period, the whole cycle should be 360°

i.e.

cos (Xπ.t) = cos (360)

as the cycle completes at 1.2 sec hence by putting t=1.2, answer should be 360.

i.e.

X*180*t=360

X*180*1.2=360

X=5/3

So, the required equation is

$f(x)=3.cos(5\frac{\pi }{2}.t)$

Graph for this equation is attached here with this answer.

In graph,

x-axis: t=0 ~ t=1.2

y-axis: f(x)=-4 ~ f(x)=4

3 0

3 years ago

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Thirty-seven is less than the difference of seven and ten times a number.

likoan [24]

Answer:

37< 10x-7

Step-by-step explanation:

5 0

3 years ago

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Write the numbers in increasing order. -8, 2, -10, -3, 9, 0

Sloan [31]

Answer:

-10,-8,-3,0,2,9

8 0

3 years ago

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