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Elena L [17]
3 years ago
9

Write an equation for the line of best fit that models the relationship between profit in thousands, p, and time in months, m. T

hen, use your equation to predict the profit the bagel shop will earn in month 12. Round slope and y-intercept to the nearest tenth.

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
This is much easier when you use a software like MS Excel. You have to list the points first. These are: (1,3), (2,2.5), (3,4), (4,5), (5,6.5), (6,5.5), (7,7), (8,6), (9,7.5), (10,7) and (11,9).

Do a scatter plot for this points and add a trend line and you obtain the equation of the line fit. The equation is p=0.6m+2.4

We use this equation to find p when m=12.

p = (0.6×12)+2.4
p = 9.6

Total profit in month 12 would be 9.6 thousand.

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The graph below shows a system of equations:
Darya [45]

ANSWER

The x-coordinate of the solution to the system of equations is 3.

EXPLANATION

The solution to the system of equations is the point of intersection of the straight lines that represents the given system.

From the graph the two straight lines intersected at:

(3,2)

Hence the solution to the system of equations is (3,2)

The x-coordinate of the solution to the system of equations is 3.

4 0
4 years ago
Which statement correctly explains how Andre could find the solution to the following system of linear equations using eliminati
swat32

Answer:

The correct answer is B.

Step-by-step explanation:

Multiply the first equation by -7, and the second equation by 8, and then add.

What you're trying to do is cancel them out so they have to opposite signs in order for them to cancel out. You can't do that if the signs are the same, which is what option A suggests doing. B is the correct answer.

6 0
3 years ago
Read 2 more answers
What is the slope of a line that is perpendicular to the line y=-3x
exis [7]

slope of a line that is perpendicular to the line y=-3x is 1/3

What is slope of line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate. Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively. where "m" represents a line's slope. So, the slope of a line is tanθ.

y=-3x

tanθ=slope = y/x= -3

Slope(M) of this equation is -3

Let the slope of its perpendicular line is m

As we know that the product of the slopes of perpendicular lines is -1

so,

M*m =-1

-3 * m= -1

m=1/3

Learn about slope from the link below

brainly.com/question/6716094

#SPJ1

5 0
1 year ago
Lauren wants to save $300,000 to buy a restaurant 10 years from now. How much should she deposit
UNO [17]

Answer: $6444.14 would be deposited quarterly

Step-by-step explanation:

We would apply the formula for determining future value involving deposits at constant intervals. It is expressed as

S = R[{(1 + r)^n - 1)}/r][1 + r]

Where

S represents the future value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n represents the total number of payments made.

From the information given,

S = $300000

r = 0.08/3 = 0.027

n = 3 × 10 = 30

Therefore,

300000 = R[{(1 + 0.027)^30 - 1)}/0.027][1 + 0.027]

300000 = R[{(1.027)^30 - 1)}/0.027][1.027]

300000 = R[{(2.224 - 1)}/0.027][1.027]

300000 = R[{(1.224)}/0.027][1.027]

300000 = R[45.33][1.027]

300000 = 46.55391R

R = 300000/46.55391

R = 6444.14

4 0
3 years ago
Find the slope (m) and y -intercept (b) of the equation in standar form 2x-3y=6​
klasskru [66]

Answer:

m = \frac{2}{3} , b = - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Given

2x - 3y = 6 ( subtract 2x from both sides )

- 3y = - 2x + 6 ( divide all terms by - 3 )

y = \frac{2}{3} x - 2 ← in slope- intercept form

with slope m = \frac{2}{3} and y- intercept b = - 2

8 0
3 years ago
Read 2 more answers
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