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ArbitrLikvidat
4 days ago
13

Analyze the diagram below and complete the instructions that follow.

Mathematics
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Chris has a cell phone plan with a flat fee of $26.00 per month, plus a cost of $0.12 per minute of usage. Chris can only afford
tester [12383]

For Chris, the calculation for his monthly telephone expense is as follows:

C (x) = 26 + 0.12x

Where "x" denotes each minute used.

Given that Chris can afford a bill of $86, we have:

26 + 0.12x \leq86\\0.12x \leq86-26\\0.12x \leq60\\x \leq \frac {60} {0.12}\\x \leq500

The total minutes of usage must not exceed 500 per month. Consequently, the viable choice is option C.

Answer:

Option C

3 0
3 months ago
The graph of the function f(x) = (x – 4)(x + 1) is shown below. On a coordinate plane, a parabola opens up. It goes through (neg
tester [12383]

Answer:

The function decreases across all real numbers x where x < 1.5.

Step-by-step explanation:

We have

f(x)=(x-4)(x+1)

f(x)=x^2+x-4x-4

f(x)=x^2-3x-4

This represents an upward-opening vertical parabola

The vertex denotes a minimum point

The vertex is located at (1.5,-6.25)

We know that

The function is decreasing within the interval ----> (-∞, 1.5) x < 1.5

This means----> the function is continuously decreasing for all real x values under 1.5

Conversely, the function is increasing within the interval ----> (1.5, ∞) x> 1.5

Thus, for all real x values greater than 1.5, the function is increasing

Check the attached figure for further clarification

Therefore

The true statement is

The function decreases across all real numbers x where x < 1.5.

5 0
3 months ago
Read 2 more answers
A man 50 years old has 8 sons born of equal intervals. The sum of the ages of the father and sons is 186. What is the age of the
babunello [11817]
<span>Denote x as the interval, then: 186 = 50 + 3 + (3+x) + (3+2x) + (3+3x) + (3+4x) + (3+5x) + (3+6x) + (3+7x) 186 = 74 + 28x x = 4 Age of the eldest son = 3+7x = 3+28 = 31.</span>
8 0
3 months ago
Jack and jill exercise in a 25.0-m-long swimming pool. jack swims nine lengths of the pool in 2 minutes and 34.5 seconds, while
lawyer [12517]
Jack swims a total distance of 9*25.0m=225.0 meters in 2 minutes and 34.5 seconds.

The time duration of 2 minutes and 34.5 seconds can be converted to seconds: 2*60sec +34.5 sec= 154.5 s


Jill completes 10*25.0m = 250 m also in 154.5 s.


\displaystyle{ Average\ Speed= \frac{Distance\ traveled}{Time \ of \ travel}\\\\



\displaystyle{ Average \ Velocity = \frac{Displacement}{time}



Therefore,
the speed of Jack calculates to: 225.0 meters / 154.5 s =(225/154.5) m/s = 1.46 m/s

the speed of Jill calculates to: 250.0 meters / 154.5 s =(250/154.5) m/s = 1.62 m/s


Assuming both Jack and Jill start from point 0 moving in the positive direction,

an even number of lengths results in a Displacement of 0, while an odd number results in a Displacement of 25 m


Thus, Jill's average Velocity is 0,

and Jack's average velocity is 25/154.5 = 0.16 m/s

Answer:

Jack's Average Speed: 1.46 m/s

Jill's Average Speed: 1.62 m/s

Jack's Average Velocity: 0

Jill's Average Velocity: 0.16 m/s

5 0
2 months ago
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