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Juli2301 [7.4K]
3 years ago
12

Tracy has a cell phone plan that provides 250 free minutes each month for a

Mathematics
1 answer:
Rufina [12.5K]3 years ago
4 0

Answer:

f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.

Step-by-step explanation:

If we call "x" the number of call minutes used with this plan, the piecewise function used to describe it must represent;

a) a constant value of 29 for any x value smaller than or equal to 250

b) a line with positive slope of 0.35 for the region with x larger than 250. The mathematical representation of such increasing straight line, should be given by a line of slope m = 0.35, and containing the point (250, 29) which is the starting point for this right hand side portion of the domain:

f(x)=0.35(x-250)+29\\f(x)=0.35 x-87.5+29\\f(x)=0.35 x-58.5

So the function should look like:

f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {29+0.35(x-250)\,\,for \,x>250}} \right.

or as shown above, in a more simplified form:

f(x)=\left \{ {{29\,\,for \,\,x\,\leq 250 } \atop {0.35x-58.5\,\,\,for \,\,x>250}} \right.

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Susie has 8/9 cup of ice cream. How many 1/4 cup servings can she make?
soldier1979 [14.2K]

Answer:

8 cups of ice cream

Step-by-step explanation:

1/4×8=8 cups

5 0
3 years ago
There are 7 women and 9 men if 2 are promoted what is the probability they are both men
Artist 52 [7]

Answer:

3/10

Step-by-step explanation:

Total number of employees = 7 + 9 = 16

Probability of a man being chosen first to be promoted = 9/16

Probability of the second choice is still a man for promotion = 8/15

Why 8/15?

The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8

The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15

Hence Probability of choosing 2 men for promotion = 9/16 x 8/15 = 3/10

5 0
3 years ago
-2.75 + 8.25 ? Help pls
Archy [21]
The answer is 5.5!!!!
3 0
2 years ago
Solve for y in terms of x.
krek1111 [17]

<u>Answer:</u>

y=\frac{3}{2} x+6

<u>Step-by-step explanation:</u>

We are given the following equation and we are supposed to solve y in terms of x. It simpler terms, it means that we have to make y the subject of the equation while x being used in it as it is:

\frac{2}{3} y-4=x

Taking the constant 4 to the side where x is to get:

\frac{2}{3} y=x+4

Multiplying the denominator 3 to the other side of the equation to get:

2y=3x+12

Isolating y to make it the subject:

y=\frac{3}{2} x+\frac{12}{2}\\ \\y=\frac{3}{2} x+6

3 0
3 years ago
In right ∆LMN, sin M = 0.759. What is cos N? A. 0.121 B. 0.241 C. 0.349 D. 0.651 E. 0.759
Hatshy [7]

Answer:

E. 0.759

Step-by-step explanation:

You can take this right triangle to have a base length side LM , height of LN and a hypotenuse of MN

The sine of angle ∠LMN is 0.759, find the value of ∠LMN

sin^-1(0.759)=49.38

∠LMN=49.38°

Find angle ∠LNM

You know sum of angles in a triangle add up to 180°, given that this is a right-triangle, the base angle is 90° hence

∠LNM=180°-(90°+49.38°)

∠LNM= 180°-139.38°=40.62°

Find cos 40.62°

Cos 40.62°=0.7590

6 0
3 years ago
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