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WINSTONCH [101]
2 years ago
11

(5,2),y=2x-3 write and equation of the line that passes through the given point and is (a)parallel to and (b) perpendicular to t

he given line
Mathematics
1 answer:
Dmitry_Shevchenko [17]2 years ago
8 0

Y=me+b

2=2(5)+b

2=10+b

-8=b

Y=2x-8 it’s a

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a phone company offers two monthly charge, in Plan a, the customer pays a monthly fee of $40.10 and then an additional 4 cents p
Charra [1.4K]

Answer:

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

Step-by-step explanation:

The two plans must be defined by the equation of the line y = mx + b, where

y = plan

m = slope or payment of additional cents per minute

x = time expressed in minutes

For Plan A, we have

y = 4x + 40.10 (Equation A)

While plan B is defined as

y = 7x + 35 (Equation B)

Plan A must be less than Plan B,

4x + 40.10 < 7x + 35

We put the “x” on the left side and the independent terms on the right side,

4x - 7x < 35 - 40.10

We add algebraically,

-3x < -5.10

We multiply the equation by -1 to eliminate the two “minus” signs, changing the inequality sign,

3x > 5.10

We isolate x,

x > 5.10 / 3

We solve, calculating the value of x,

x > 1.7 minutes

The monthly telephone usage amounts so that plan A is not greater than plan B are all greater than 1.7 minutes.

7 0
3 years ago
What is f(x)=x; g(x)=x+3
eduard

Answer:

A

Step-by-step explanation:


3 0
3 years ago
A family dinner check was $38.82. Estimate a 15% tip
Radda [10]

Answer:

$5.82

Step-by-step explanation:

6 0
3 years ago
3x-1/5 = 2x+3/7<br><img src="https://tex.z-dn.net/?f=3x%20-%201%20%5Cdiv%205%20%3D%202x%20%2B%203%20%5Cdiv%207%20%5C%5C" id="Tex
Step2247 [10]

Answer:

123

Step-by-step explanation:

7 0
3 years ago
2. A teacher-student committee consisting of 4 people is to be formed from 5 teachers and 20
ivann1987 [24]

Answer:

If the committee must consist at least one student, the probability is 99.96%

Step-by-step explanation:

Given;

number of teachers = 5

number of students = 20

Total number of committee members = 25

Possible outcome of all the members in the 4 committee = 25C₄ ways

= 12650

If the committee must consist at least one student, then the possible outcome;

= Total possible outcome - committee with no student

= 25C₄ ways - 5C₄ ways (all committee members are teachers)

= 12650 - 5

= 12645

The probability that the committee will consist at least one student;

= 12645 / 12650

= 0.9996

= 99.96%

Therefore, if the committee must consist at least one student, the probability is 99.96%

4 0
2 years ago
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