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3 years ago

Write the equation for a line in slope-intercept form (y=mx+b) that

Mathematics

2 answers:

chubhunter [2.5K]3 years ago

6 0

The answer to it is y=-2x-1 good luck

dalvyx [7]3 years ago

3 0

Answer:

y = -2x - 1

Step-by-step explanation:

Parallel lines have the same slope, so the slope will also be -2.

Plug this slope and the given point into the equation y = mx + b and solve for b:

y = mx + b

5 = -2(-3) + b

5 = 6 + b

-1 = b

Then, plug this and the slope into the equation:

y = -2x -1 will be the equation

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Is 3.7 an integer<br> Need help on my math homework plz help

Finger [1]

An integer is a number that is not a fraction so no 3.7 is not an integer

4 0

3 years ago

Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?

IrinaK [193]

Answer:

A) y = 4x - 1

Step-by-step explanation:

y = mx + b

y = 4x + b

7 = 4(2) + b

7 = 8 + b

-1 = b

y = 4x - 1

8 0

3 years ago

What is the gradient of the graph shown

gavmur [86]

Answer:

Use the formula change in y divided by change in x to get your answer

8 0

2 years ago

The mean income per person in the United States is $44,500, and the distribution of incomes follows a normal distribution. A ran

Artist 52 [7]

Answer:

We conclude that the residents of Wilmington, Delaware, have higher income than the national average

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $44,500

Sample mean, $\bar{x}$ = $52,500

Sample size, n = 16

Alpha, α = 0.05

Sample standard deviation, s = $9,500

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu = 44,500\text{ dollars}\\H_A: \mu > 44,500\text{ dollars}$

We use one-tailed(right) t test to perform this hypothesis.

c) Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{52500 - 44500}{\frac{9500}{\sqrt{16}} } = 3.37$

b) Rejection rule

If the calculated t-statistic is greater than the t-critical value, we fail to accept the null hypothesis and reject it.

Now,

$t_{critical} \text{ at 0.05 level of significance, 15 degree of freedom } = 1.753$

Since,

$t_{stat} > t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. We conclude that the residents of Wilmington, Delaware, have higher income than the national average

5 0

3 years ago

Emily wants to buy a car. She pays a deposit equal to 20% of the cost of the car. She will pay the balance in 8 equal payments o

olga55 [171]

Answer: the cost of the car is $54600

Step-by-step explanation:

Let x represent the cost of the car.

She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be

20/100 × x = 0.2 × x = 0.2x

The remaining balance would be

x - 0.2x = 0.8x

She will pay the balance in 8 equal payments of $5460 each month. This means that

0.8x/8 = 5460

0.1x = 5460

Dividing the left hand side and the right hand side of the equation by 0.1, it becomes

0.1x/0.1 = 5460/0.1

x = 54600

4 0

4 years ago