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slamgirl [31]
3 years ago
14

The graph below shows a linear function and an exponential function. What is the minimum y-value after which the exponential fun

ction will always be greater than the linear function? y = 1 y = 3 y = 4 y = 5

Mathematics
1 answer:
Feliz [49]3 years ago
3 0

Answer:

The correct option is:

y = 4

Step-by-step explanation:

We can see in the graph the behavior of both the exponential function and linear function. The point (1,4) is considered to be the point where the graph of both the functions is getting separated. We can see in the graph that before point (1,4), initially the y value of exponential function is first greater than that of a linear function, then at y=2 it becomes equal, from y=2 to y=4 the value of linear function is slightly bigger than the value of exponential function. However, after point y=4, the value of exponential function corresponding to a particular value of x is always greater than the value of linear function for the same value of x

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The price of a car has been reduced from $10,500 to $6,300. What is the percentage decrease of the price of the car ?
Alex73 [517]

Answer: A. 40%

Step-by-step explanation:

to find the percentage decrease, first you have to subtract $6,300 from $10,500, which equals $4,200. This is the amount decreased from the price of the car. Then, to find the percentage that $4,200 is to $10,500, you have to divide 4,200 by 10,500. This should give you 0.4, the percentage is this number multiplied by 100. This should give you the number 40, which means that the percentage decrease of the price of the car; 40%.

5 0
3 years ago
Read 2 more answers
Help!
Thepotemich [5.8K]

Answer:

The median is 10 and the mean is 10.2

Step-by-step explanation:

Median: the middle number -> 6,8,10,11,16

Mean:

6 + 8 + 10 + 11 + 16 = 51

51/5 = 10.2

3 0
3 years ago
juan and debbie each earn 9 per hour at their "jobs." Debbie worked five hours more than juan during the week. if juan and debbi
Vaselesa [24]

Using a system of equations, it is found that Debbie worked 45 hours during the week.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are:

  • Variable x: Amount of hours worked by Juan.
  • Variable y: Amount of hours worked by Debbie.

Juan and Debbie each earn 9 per hour at their "jobs", and earned a total of 765 for the week, hence:

9x + 9y = 765

Simplifying the expression by 9:

x + y = 85 -> x = 85 - y.

Debbie worked five hours more than juan during the week, hence:

y = x + 5.

Since x = 85 - y, we replace in the expression:

y = 85 - y + 5.

2y = 90.

y = 45.

Debbie worked 45 hours during the week.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

3 0
2 years ago
What does 2x-3y=7 equal
Serggg [28]
I suppose your answer could be x=5 and y=1....
3 0
3 years ago
In the probability distribution to the​ right, the random variable x represents the number of hits a baseball player obtained in
Anna [14]

Answer:

a) This is a discrete probability distribution because between the sample spaces are all between 0 and 5 inclusive and the sum of probabilities is equal to 1.

Step-by-step explanation:

x ​p(x)

0 0.1663

1 0.3351

2 0.2869

3 0.1497

4 0.0387

5 0.0233

To show that it is a discrete probability distribution, Σ pᵢ = 1

That is, the sum of the individual probabilities for each sample space must equate to 1 at the end.

Σ pᵢ = 0.1663 + 0.3351 + 0.2869 + 0.1497 + 0.0387 + 0.0233 = 1.000

Hence, the probability distribution is indeed a discrete probability distribution.

Hope this Helps!!!

7 0
3 years ago
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