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finlep [7]
2 years ago
13

Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of 29$. For any minutes over 250 tracy us

charged 0.35$ per minute. Which of the following picewise functions represents charges based on tracy’s cell phone plane?
Mathematics
1 answer:
iVinArrow [24]2 years ago
7 0

Answer:

Since Tracy is charged $29 for 250 free minutes so:

For x ≤ 250, f(x) = $29

tracy is charged an extra $0.35 per minute for calls over 250 minutes, so:

For x ≥ 250, f(x) = 29 + 0.35(x - 250)

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lorasvet [3.4K]
B is the y-intercept. in this example, b=50
4 0
3 years ago
The profit that a vendor makes per day by selling x elephant ears is given by the function P(x)= -0.004x^2+3.2x-200. Find the nu
dezoksy [38]

Answer:

The number of elephant ears that must be sold to maximize profit is 400.

Step-by-step explanation:

Given that,

The profit that a vendor makes per day is given by

P(x)= - 0.004x² +3.2 x -200

where x is number of elephant ears.

P(x)= - 0.004x² +3.2 x -200

Differentiating with respect to x

P'(x)= - 0.008x+3.2

Again differentiating with respect to x

P''(x) = -0.008

For maximum or minimum P'(x)=0

- 0.008x+3.2=0

⇒0.008x=3.2

\Rightarrow x=\frac{3.2}{0.008}

⇒ x = 400

P''(x)|_{x=400} = -0.008

Since at x=400, P''(x)<0, the profit is maximize.

P(400) = -0.004×400²+3.2×400-200

          =440

The number of elephant ears that must be sold to maximize profit is 400.

3 0
2 years ago
Eight more than seven times a number is equal to four more than five times the number. What is the number?
Alex17521 [72]

Answer: -2

Step-by-step explanation:

convert it to a equation:

7x+8=5x+4

move x's to a side and numbers to the other

2x=-4

divide by 2

x=-2

8 0
1 year ago
Read 2 more answers
III
irakobra [83]

Answer:

101in

Step-by-step explanation:

9*5=45

9*4=36

5*4=20

45+36+20=101

3 0
2 years ago
Plz show work <br> 3(10-x)=21
Contact [7]

Answer:

x = 3

Step-by-step explanation:

3(10-x)=21

30-3x=21

-30      -30

-3x=-9

x=3

5 0
3 years ago
Read 2 more answers
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