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guapka [62]
3 years ago
5

Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x)

Mathematics
1 answer:
tamaranim1 [39]3 years ago
6 0

Answer:

Step-by-step explanation:

3x^{2}+x-3= x^{2} - 5x

combine like terms

3x^{2} +x^{2}= 4x^{2}

x -5x = -4x

then combine 4x^{2} and -4x

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Darrell Frazier owns a home that has a replacement value of $87,500. He purchased a homeowner’s policy for 80 percent of the hou
levacccp [35]

Answer:

<u>According to the table, the type of construction and the fire protection class, Darrell will pay US$ 213 for the annual insurance premium. </u>

Step-by-step explanation:

1. Let's check and use the information given to solve the question:  

Replacement value of Darrell's home = US$ 87,500  

Value of the homeowner's policy = 80% of Darrell's house  

Type of Darrell's home construction = Brick  

Fire protection class = 3  

2. Let's find the exact amount of the insurance coverage:  

Amount of insurance coverage = 80% of Darrell's house  

Amount of insurance coverage = 80% * 87,500  

Amount of insurance coverage = 0.8 * 87,500  

Amount of insurance coverage = 70,000  

The amount of insurance coverage is US$ 70,000  

<u>According to the table, the type of construction and the fire protection class, Darrell will pay US$ 213 for the annual premium.</u>

<u>Same answer for question 13882475</u>

4 0
3 years ago
Given the following exponential function, what is the initial amount y 60(1.71)^x?
Aleks [24]

Answer:

60

Step-by-step explanation:

The initial y value can be found by setting x to 0. Anything to the power of 0 is 1, so 1.71^x when x is 0 is just 1. 60*1=60, which is the initial y value. Hope this helps!

8 0
3 years ago
The softball team is selling hats. John bought 3 for $24.00. Stacey bought 5 for $40.00. Jim bought 2 for $16.00.
iren2701 [21]

The value of the hats bought by John, Stacey, and Jim are $8 per hat. This shows a proportional relationship.

<h3>What is a proportional relationship?</h3>

It should be noted that a proportional relationship is one where it van be expressed as y = kx.

In this case, John bought 3 for $24.00. This will be:

= $24 / 3

= $8 per hat

Stacey bought 5 for $40.00. This will be:

= $40 / 5

= $8 per hat

Jim bought 2 for $16.00. This will be:

= $16/2

= $8 per hat

Therefore, it's a proportional relationship.

Learn more about proportional relationship on:

brainly.com/question/12242745

#SPJ1

8 0
1 year ago
What is the y-intercept of the function f(x)=2/9x+1/3
____ [38]

Answer:

1/3

Step-by-step explanation:

The equation given to you is in y=mx+b form.

m is the slope which in this case would be 2/9.

b is the y-intercept which in this case would be 1/3

6 0
2 years ago
Read 2 more answers
Thirty percent of the students at a local high school face a disciplinary action of some kind before they graduate. Of those "fe
inna [77]

Answer:

Not independent

Step-by-step explanation:

For two events to be independent, they must not effect each other. For two independent events, changes in one of the event do not cause any change on the other event.

To explain it in terms of probability, let's first define and calculate the probabilities:

P(F) : Probability of facing felony

P(C) : Probability of going to college

P(F ∩ C) : Probability of facing felony and going to college

P(F° ∩ C): Probability of not facing a felony and going to college

Assume we have 100 students:

Faced felony = 0.3 * 100 = 30

Faced felony and go college = 30 * 0.4 = 12

Not faced felony = 0.7 * 100 = 70

Not faced felony and go college = 0.6 * 70 = 42

Total of going to college = 12 + 42 = 54

So P(C) = 54 / 100 = 0.54

If P(F)*P(C) = P(F ∩ C), then these two events are independent. If not, they are not independent.

Let's calculate the probabilities:

As given in the question, 30% of students face felony so P(F) = 0.3

P(C) = P(C ∩ F) + P(C ∩ F°) = 0.12 + 0.42 = 0.54

P(F) = 0.3

P(F ∩ C) = 0.12

P(F)*P(C) = 0.3 * 0.54 = 0.162 which ic not equal to P(F ∩ C). Therefore, these events are not independent.

5 0
3 years ago
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