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Paha777 [63]
3 years ago
8

you open a cafe. the function f(x)=4000x represents your expected net income(in dollars) after being open x weeks. before you op

en, you incur an extra expanse of $12,000. what transformation of f is necessary to model this situation? how many weeks will it take to pay off the extra expense?
Mathematics
1 answer:
Tju [1.3M]3 years ago
3 0
The new fuction would be f (x)= 4000x -12000. It would take 3 weeks to pay off the expense.
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Factor 2x2 − 4x − 30 completely.
Luda [366]
I hope this helps you

3 0
3 years ago
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I turn 40 degrees clockwise, 70 degrees anticlockwise and
rosijanka [135]

Answer:

Anticlockwise 60°

Step-by-step explanation:

Let my starting point be 0°

Turning to the right(clockwise)40° = 0° + 40° = 40°

I am now at 40° to the right of my starting point.

Turning to the left(anticlockwise) 70° = 40° - 70° = -30°

I am now 30° to the left of my starting point.

Turning to the right 90° = -30° + 90° = 60°

I am 60° to the right of my starting point.

To go back to the startoing point(0°), I should go to the left(anticlockwise) by 60°

This is a change of -60°

-Chetan K

7 0
2 years ago
Someone please help me with this question !!!!
Lyrx [107]

Answer:

34.3 in, 36.3 in

Step-by-step explanation:

From the question given above, the following data were obtained:

Hypothenus = 50 in

1st leg (L₁) = L

2nd leg (L₂) = 2 + L

Thus, we can obtain the value of L by using the pythagoras theory as follow:

Hypo² = L₁² + L₂²

50² = L² + (2 + L)²

2500 = L² + 4 + 4L + L²

2500 = 2L² + 4L + 4

Rearrange

2L² + 4L + 4 – 2500 = 0

2L² + 4L – 2496 = 0

Coefficient of L² (a) = 2

Coefficient of L (n) = 4

Constant (c) = –2496

L = –b ± √(b² – 4ac) / 2a

L = –4 ± √(4² – 4 × 2 × –2496) / 2 × 2

L = –4 ± √(16 + 19968) / 4

L = –4 ± √(19984) / 4

L = –4 ± 141.36 / 4

L = –4 + 141.36 / 4 or –4 – 141.36 / 4

L = 137.36/ 4 or –145.36 / 4

L = 34.3 or –36.3

Since measurement can not be negative, the value of L is 34.3 in

Finally, we shall determine the lengths of the legs of the right triangle. This is illustrated below:

1st leg (L₁) = L

L = 34.4

1st leg (L₁) = 34.3 in

2nd leg (L₂) = 2 + L

L = 34.4

2nd leg (L₂) = 2 + 34.3

2nd leg (L₂) = 36.3 in

Therefore, the lengths of the legs of the right triangle are 34.3 in, 36.3 in

5 0
3 years ago
Find the coordinates of the midpoint (-3,13) (10,-4)
xenn [34]

Answer:

The answer is

<h2>( \frac{7}{2}  \: , \:  \frac{9}{2} )</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

<h3>M = ( \frac{x1 + x2}{2}  , \:  \frac{y1 + y2}{2} )</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-3,13) and (10,-4)

The midpoint M is

<h3>M  = ( \frac{ - 3 + 10}{2}  , \:  \frac{13 - 4}{2} ) \\</h3>

We have the final answer as

<h3>( \frac{7}{2}  \: , \:  \frac{9}{2} )</h3>

Hope this helps you

5 0
3 years ago
I need help with this question
zepelin [54]

Answer:

205.62

Step-by-step explanation:

7 0
3 years ago
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