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balandron [24]
2 years ago
11

Write the equation of a line that meets all the following requirements:

Mathematics
1 answer:
LuckyWell [14K]2 years ago
8 0

9514 1404 393

Answer:

  • x + y = 5
  • y = -x + 5

Step-by-step explanation:

We can start with the point-slope form of the equation for a line. To meet the given requirements, we can use a point of (5, 0) and a slope of -1. Then the equation in that form is ...

  y -0 = -1(x -5)

Simplifying gives the slope-intercept form:

  y = -x +5 . . . . . . . use the distributive property to eliminate parentheses

Adding x to both sides gives the standard form:

  x + y = 5

__

<em>Explanation</em>

We know the line has the required intercept and slope because we chose those values to put into the point-slope form. Conversion from one form to another made use of the rules of equality, the additive identity element (y-0=y), and the distributive property.

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A health club charges non-members $5 per day to swim and $9 per day for an exercise class. Members pay a yearly fee of $300 plus
Ivahew [28]

The number of days d, he must use the gym to make the membership worthwhile is at least 21 days

Equation

Non members:

Cost of swimming per day = $5

Cost of exercise per day = $9

Total = $5 + $9

= $14

Members:

Yearly fee = $300

Exercise fee per day = $4

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Learn more about equation:

brainly.com/question/2972832

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5 0
1 year ago
The highway mileages of 147 cars are in a file named CARS2.† These cars are 2003 models. Find the mean, standard deviation, and
grigory [225]

In statistics, mean is the average in a set of data collected. To calculate the mean, you have to add up all the numbers in the table and divide it by the number of data that exists. For example, if the data set is 2 4 1 5 2 8, the mean will be:

mean = \frac{(2+4+1+5+2+8)}{6}= 3.6

So, for this data set, the mean is 3.6.

The median is also a average number, however, the median is the middle value in the list. For example, with the data set above, the median is 3, because, as the set has an even number of data, the middle term would be the mean of the two middle number, in other words:

median = \frac{1+5}{2} = 3

The standard deviation (σ) is the spread of data distribution, which means it's how "far" a number is from the mean of the set. The formula is

σ = √∑ (x - μ)²/N, where ∑ is the total sum; μ is the mean; and N is the number of data points in the sample. So, to calculate the standard deviation, using the example:

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2) Find the difference between each data point and the mean and then, the square of each one:

(2-3.6)² = 2.56;

(4-3.6)² = 0.16

(1-3.6)² = 6.76

(5-3.6)² = 1.96

(2-3.6)² = 2.56

(8-3.6)² = 19.36

3) Add up all the squares: ∑= 33.36

4) Divide by the number of data points: \frac{33.36}{6}=5.56

5) Take the square root: σ = 2.36

For the set of numbers above (2,4,1,5,2,8), the standard deviation is

σ = 2.36.

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