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slavikrds [6]
2 years ago
10

. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he ca

n expect to receive based on how much snow falls during a storm. Snow Plow Service Based on the collected data shown in the scatterplot, he uses the linear model . According to this model, c(s)=0.8s+0.29about how many service calls will Roger have in the next snow storm if 4.7 inches of snow fall? Round to the nearest tenth if necessary
Mathematics
1 answer:
expeople1 [14]2 years ago
6 0

Answer:

4.1 calls

Step-by-step explanation:

The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:

c(s)=0.8s+0.29

Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:

c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls

Rounding to the nearest tenth, Roger will get about 4.1 calls.

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How to decompose a rectangle into two or three smaller rectangles to demonstrate the distributive property?
koban [17]

Answer:

See explanation

Step-by-step explanation:

The distibutive property states that for all real numbers a, b and c

(a+b)c=ac+bc

Draw a rectangle with length of (a+b) units and width of c units. The area of this rectangle is

(a+b)c\ un^2.

Divide this rectangle into two rectangles: first rectangle with the length of a units and the width of c units and the second rectangle with the length of b units and the width of c units. The area of these rectangles are

a\cdot c\ \text{and}\ b\cdot c

These two rectangles together form initial rectangle, so the sum of the area of two smaller rectangles is the area of the bigger rectangle.

5 0
2 years ago
This table represents a quadratic function. x y 0 -3 1 -3.75 2 -4 3 -3.75 4 -3 5 -1.75 What is the value of a in the function’s
serg [7]

Answer:

a = 0.25

Step-by-step explanation:

Our strategy to solve this problem will be to use the information given in the table to obtain  first the value of c in the quadratic equation which has the form ax^2 + bx + c and then form a system of 2 linear equations  and solve for the coefficients a and b as follow:

from x=0 and y=-3   a*0 + b* 0 + c = - 3

c = -3

from x=1 and  y= -3.75

a*(1) + *(1) + (-3) = -3.75

a + b = -3.75 + 3 = -0.75

from x= 2 and y = -4

a* (2)^2 + b*(2) + (-3) = -4

4a + 2b = -4 +1

4a + 2b = -1

Now we can solve the system f equations by elimination:

a + b = -0.75

4a + 2b = -1

multiply first equation by -2 and add to the second and  get

-2a - 2b = +1.50

4a + 2b = -1

2a = 0.50 and substituting into any of the equations get b =  -1

so the quadratic equation has a= 0.25 b= -1  c= -3

we can even  plug the any of the other values for  x given in the table and check the answer.

8 0
2 years ago
Read 2 more answers
Edward deposited $6,000 into a savings account 4 years ago. The simple interest rate is 3%. How much money did Edward earn in in
GaryK [48]
Hello IdontKnowHowToMath,

first, converting R percent to r a decimal
r = R/100 = 3%/100 = 0.03 per year.

Solving our equation:
A = 6000(1 + (0.03 × 4)) = 6720
A = $6,720.00

The total amount accrued, principal plus interest, from simple interest on a principal of $6,000.00 at a rate of 3% per year for 4 years is $6,720.00.
6 0
2 years ago
Adriano runs a website that helps writers write better stories. Every month, Adriano receives a subscription fee of \$5$5dollar
jenyasd209 [6]

Answer:

$1002516150

Step-by-step explanation:

200200200 + 404040 -  101010 = 200503230

200503230 x 5 = 1002516150

8 0
1 year ago
Which function will have the steepest graph? y = –2x y =-1/2 x y = 3/2x y =5/2 x
timofeeve [1]
The steepest graph is gonna have the largest slope....but u have to use the absolute value of the slopes to compare

y = -2x.....slope is -2....| -2 | = 2
y = -1/2x...slope is -1/2....| -1/2 | = 1/2
y = 3/2x....slope is 3/2 (or 1 1/2)...| 1 1/2} = 1 1/2
y = 5/2x...slope is 5/2 (or 2 1/2)...| 2 1/2| = 2 1/2

so the steepest graph is : y = 5/2x
4 0
2 years ago
Read 2 more answers
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