MATHEMATICS HIGH SCHOOL

What is the equation in slope-intercept form of a line that passes through (–2, 2) and is perpendicular to the graph of y = x 2 1 − 3?

Answers

Answer 1

Answer:

Answer:

y=x^4-6

y=1/x-2

Step-by-step explanation:

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An SUV costs $27,070 and costs an average of $0.18 per mile to maintain. A hybrid model of the SUV costs $32,880 and costs an average of $0.13 per mile to maintain. After how many miles will the cost of the gas-only SUV exceed the cost of hybrid?

Answers

Answer:

116,200 km

Step-by-step explanation:

Here we have 2 cars, each one with it's corresponding costs. Let's write each cost as functions. The SUV costs $27,070 plus $0.018 per mile. Let x be the miles and SUV (x) the SUV's cost:

SUV(x)=27070+0.18x

We can do the same for the hybrid with a cost function H(x):

H(x)=32880+0.13x

We now need the cost of the SUV to be greater than the hybrid. This is SUV (x)> H(x):

27070+0.18x > 32880+0.13x

Let's subtract 27070 in each side:

0.18 x > 32880 - 27070 + 0.13x

Now let's subtract 0.13x in both sides:

0.05x > 5810

Divide both by 0.05:

x > 5810/0.05

x > 116,200

So, after 116,200km the SUV will turn to be more expensive.

Marcus boxers dog 3/5 of a mile every day how far does Marcus walk his dog 6 days

Answers

Marcus walks 3.5 miles

Final answer:

By applying the concept of multiplication, we determine that Marcus walks his dog a total of 3.6 miles in 6 days if he walks 3/5 of a mile each day.

Explanation:

This question actually involves simple mathematics, specifically the concept of multiplication. Since Marcus walks his dog 3/5 of a mile each day, in order to calculate how far Marcus walks his dog in 6 days, we simply multiply the daily distance by the number of days. Therefore, the calculation will be as follows: 3/5 mile/day * 6 days = 18/5 miles = 3.6 miles.

So, Marcus walks his dog a total of 3.6 miles in 6 days.

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Dawn and Pablo are members of a normally distributed population that is being sampled. If the chance of Dawn being included in the sample is 0.05%, what must the chance of Pablo being included in the sample be in order to be able to make inferences about the population based on the sample?A) 0%
B) greater than 0% and less than 0.05%
C) 0.05%
D) greater than 0.05%

Answers

Answer: option C) 0.05%

In a normal distribution there are no biases, the chances (probabilities) of any member to be selected are the same. So, the chance to choose Pablo are the same that the chance to choose Dawn.

Answer:

C. 0.05%

Step-by-step explanation:

NONE

Sarah and her three friends are decorating picture frames with ribbon. They have 3 rolls of ribbon to share evenly. How does this situation represent division?

Answers

Let's see here. Sarah is one person. Her three friends are three more. That means 4 people are decorating picture frames. However, we only have 3 rolls of ribbon! We can give an entire roll to each person, but one person would have no roll to decorate with! What do we do? We have to divide this. By definition, divide means to separate something(in this case, ribbon rolls) into (equal) parts. So, we must divide them so everyone gets an EQUAL ribbon roll length.

The Patels took out a 15-year mortgage. How many monthly payments will they have to make on this mortgage? A. 360
B. 60
C. 180
D. 90

Answers

There are 12 months in a year, and 15 years to pay the mortgage.

Therefore you are simply doing 12 multiplied by 15.

12 × 15
= 180

So your answer is C. 180

Final answer:

To calculate the total number of mortgage payments over a period of 15 years, one should multiply the number of years by 12. Thus, a 15-year mortgage will have 180 payments in total.

Explanation:

The Patels took out a 15-year mortgage. A mortgage is usually paid on a monthly basis. Therefore, to calculate the total number of payments the Patels will make, multiply the number of years by 12 - the number of months in a year. So, 15 years * 12 months/year equals 180 payments. Therefore, the correct answer is C. 180.

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What is the range of the data set?{33.4, 31.7 ,31.3, 35.6, 33.4, 33.5, 38.8, 39.2, 38.8, 33.4, 37.8}

Answers

The range of the data set {33.4, 31.7 ,31.3, 35.6, 33.4, 33.5, 38.8, 39.2, 38.8, 33.4, 37.8} is R = 7.9

Given details in the problem :

The data set : 33.4, 31.7 ,31.3, 35.6, 33.4, 33.5, 38.8, 39.2, 38.8, 33.4, 37.8

In statistics, The range is the spread of your data from the lowest to the highest value in the distribution. It is a commonly used measure of variability.

The range is calculated by subtracting the lowest value from the highest value. While a large range means high variability, a small range means low variability in a distribution.

Rearrange the given Data Set : 31.3, , 31.7 , 33.4, 33.4, 33.4, 33.5, 35.6, , 37.8 , 38.8, 38.8, 39.2,

The lowest Value of the data set is 31.3

The Highest value of the data set is 39.2

The formula to calculate the range is:

R =H- L

R = range

H = highest value

L = lowest value

R = 39.2-31.3

R = 7.9

The range of the data set {33.4, 31.7 ,31.3, 35.6, 33.4, 33.5, 38.8, 39.2, 38.8, 33.4, 37.8} is R = 7.9

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