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bekas [8.4K]
2 years ago
13

Please help I’m struggling so bad

Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

a) (100,70)

b) the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

d) this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

(I'm sorry if I got anything wrong, but I hope this helps!)

Step-by-step explanation:

a) the point of intersection is where the two lines meet

this is at (100, 70)

b) in the context of this problem, the point of intersection means that Auto-Loans and Rent-a-Car companies will both have a daily cost of $70 when the distance driven is 100km.

c) Auto-Loans: y = 1/2x+20

Rent-a-Car: y = 1/5x+50

*this is because the slope of a line can be found by rise/run, and the y-intercept can be found by where it is located on the y-axis, since x would be 0.)

(for example, for Auto-Loans, the slope would be rise/run which in this case would be 10/20 or 1/2. the y-intercept is 20 since the y is 20 when it is on the y-axis).

d) if a third company's line starts at (0,0) and has the same point of intersection, this means that the third company would have a y-intercept of 0 (its daily cost and distance would start at 0) and it would also have a daily cost of $70 when the distance driven is 100km. this would also mean that the third company's line would have a slope of 7/10

Third company's line: y=7/10x+0

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6 0
2 years ago
Can you help me with number 45 please ?
Katyanochek1 [597]

Answer:

h = 84

f = 132

g= 28

Step-by-step explanation:

h = 180 - 48 - 48 = 84

f = 180 - 48 = 132

g = 180 -132 - 20 = 28

6 0
2 years ago
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bezimeni [28]

Step-by-step explanation:

Remember that in a linear function of the form f(x)=mx+b, m is the slope and b is the why intercept.

Part A. Since g(x)=2x+6, its slope is 2 and its y-intercept is 6

Now, to find the slope of f(x) we are using the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

where

m is the slope

(x_1,y_1) are the coordinates of the first point

(x_2,y_2) are the coordinates of the second point

From the table the first point is (-1, -12) and the second point is (0, -6)

Replacing values:

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{-6--(12)}{0-(-1)}

m=\frac{-6+12}{0+1}

m=6

The slope of f(x) is bigger than the slope of g(x), which means the line represented by f(x) is stepper than the line represented by g(x).

Part B. To find the y-intercept of f(x) we are taking advantage of the fact that the y-intercept of a linear function occurs when x = 0, so we just need to look in the table for the value of f(x) when x = 0. From the table f(x)=-6 when x=0; therefore the y-intercept of f(x) is -6.

We already know that the y-intercept of g(x) is 2. Since 2 is bigger than -6, function g(x) has a greater y-intercept.

6 0
2 years ago
Plss help. I am having trouble with question (d).​
Mama L [17]

Answer:

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its either 11.625 or 5.8125

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Step-by-step explanation:

I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2

5 0
3 years ago
Suppose you discover that your growth fund, income fund, and money market fund return
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Answer:−3+3=−4

2+3−=15

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2 3

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1

−3+3=−4

2+3−=15

2

2+3−=15

4−3−=19

2 3 4

3 =11

5

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Step 2: Write the two new equations

as a system

Step 3: Substitute the value for x and z

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3 =11

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Step-by-step explanation:

3 0
3 years ago
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