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2 years ago

What is the slope of the line defined by the equation y = 3x + 5?

Mathematics

1 answer:

marysya [2.9K]2 years ago

7 0

Answer:

Step-by-step explanation:

slope(m)= -Coefficient of x / Coefficient of y

= -3/-1

= 3

Hence the slope of line in 3.

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A number + half of the number=15 what is the number?

blondinia [14]

Answer:

Step-by-step explanation:

let the number be n then half the number is $\frac{1}{2}$ n, then

n + $\frac{1}{2}$ n = 15

Multiply through by 2 to clear the fraction

2n + n = 30, that is

3n = 30 ( divide both sides by 3 )

n = 10

Thus the number is 10

8 0

2 years ago

Read 2 more answers

Adult entrance fees to amusement parks in the United States are normally distributed with a population standard deviation of 2.5

kondor19780726 [428]

Answer: 1.509

Step-by-step explanation:

The formula of Margin of Error for (n<30):-

$E=t_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n= 22

Level of confidence = 0.99

Significance level : $\alpha=1-0.99=0.01$

Using the t-distribution table ,

Critical value : $t_{n-1, \alpha/2}=t_{21,0.005}= 2.831$

Standard deviation: $\sigma=\text{ 2.5 dollars }$

Then, we have

$E=( 2.831)\dfrac{2.5}{\sqrt{22}}\approx1.509$

Hence, the margin of error for a 99% confidence interval for the population mean =1.509

4 0

2 years ago

How do you solve 4x+10=3x+37

lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define equation

4x + 10 = 3x + 37

Step 2: Solve for x

Subtract 3x on both sides: x + 10 = 37
Subtract 10 on both sides: x = 27

Step 3: Check

Plug in x to verify it's a solution.

Substitute: 4(27) + 10 = 3(27) + 37
Multiply: 108 + 10 = 81 + 37
Add: 118 = 118

And we have our final answer!

7 0

2 years ago

Anyone understand how to do this??

Oxana [17]

Answer:

T=-11

Step-by-step explanation:

y2-y1/x2-x1

=t-(-1)/9-10

=t+1/9-10

=t+1/-1

=-11+1/1

=-10/1

=-10

Hope this helps :)

7 0

2 years ago

Read 2 more answers

This Question: 1 pt

katrin2010 [14]

Answer:

No Solution.

Step-by-step explanation:

x+y=8

y=3-x

-------------

x+(3-x)=8

x+3-x=8

x-x+3=8

0+3=8

3=8

no solution

8 0

2 years ago

What is the slope of the line defined by the equation y = 3x + 5?​

What is the slope of the line defined by the equation y = 3x + 5?