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Masja [62]
3 years ago
11

The values of x and y vary directly and one pair of values are given. Write an equation that relates x and y. x=-4,y=6

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

Step-by-step explanation:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. Also, a decrease in the value of one variable would cause a corresponding decrease in the other variable.

Given that x varies directly with y, if we introduce a constant of proportionality, k, the expression becomes

x = ky

If x = - 4 when y = 6, then

- 4 = 6k

k = - 4/6 = - 2/3

Therefore, the equation that relates x and y is

x = -2y/3

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Write an equation of the lines passes through (4,1) and is parallel to y= -2x+7
Nastasia [14]

Answer:

y = -2x + 9

Step-by-step explanation:

The parallel line has an equation of y = -2x + 7;

And its slope is -2.

The slope of the line that passes through (4,1) is also -2 since parallel lines have the same slope.

Taking another point (x,y) on the line that passes through (4,1):

slope(m) = change in y ÷ change in x

-2 = \frac{y - 1}{x - 4}

Cross multiplying gives;

y - 1 = -2x + 8

y = -2x + 9

5 0
2 years ago
Cheng inc. is considering a capital budgeting project that has an expected return of 40% and a standard deviation of 30%. what i
Radda [10]
Coefficient of variation is the ratio of the standard deviation to the mean (average)

Coefficient of variation = (standard deviation/mean) × 100
CV= \frac{30}{40}×100 = 75

5 0
3 years ago
Through:(2,2), parallel to y=x+4
Bumek [7]

Answer:

y = x

Step-by-step explanation:

Slope: m = 1

y = x + c

2 = 2 + c

c = 0

y = x

4 0
3 years ago
Read 2 more answers
Can someone plz help me no links plz I beg u I’m confused I would really appreciate it
Ghella [55]

Answer: A

Step-by-step explanation:

The maximum amount of weight the truck can carry is 1600lbs. You do not want to exceed 1600lbs, but you can reach 1600lbs. This makes the inequality symbol ≤. This symbol says that the weight load has to be less than 1600lbs, but It can equal 1600lbs. You know that the piano is 400lbs and each box is 50lbs. Since you want to figure out how many boxes you can put on the truck alongside the piano, you can use the inequality: 50x + 400 ≤ 1600.

50 represents pounds per/box

x represents the number of boxes you can hold

400 represents the weight of the piano

1600 represents the max weight.

8 0
2 years ago
A city's population is increasing at a rate of 2% per year.
Mariana [72]

Based on the information the number of people that will there after 20 years is: d.)  2.97 million.

Using this formula

P(t) = Population ×(1+ rate)^t

Where:

Population=2 million

rate=2%

time=20 years

Let plug in the formula

P(t) = 2×(1+.02)^20

P(t) = 2×(1.02)^20

P(t) = 2×1.485947

P(t) = 2.97 million

Inconclusion the number of people that will there after 20 years is: d.)  2.97 million.

Learn more about population here:brainly.com/question/25630111

6 0
2 years ago
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