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2 years ago

Find the slope-intercept form of the lines with the following properties.

Mathematics

1 answer:

Vikentia [17]2 years ago

6 0

Hello!

If you want to find an equation that is parallel to another equation, and passing through the point (1, 4), you need to create a new equation with the same slope, you need to substitute the given point into the new equation to find the y-intercept.

m = 3, y = 3x + b (substitute the ordered pair)

4 = 3(1) + b (simplify)

4 = 3 + b (subtract 3 from both sides)

b = 1

Therefore, the line parallel to the line y = 3x - 2 and passing through the point (1, 4) is y = 3x + 1.

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Which of these frequency counts would be represented by the smallest number of dots on a dot plot?

xeze [42]

ANSWER

a. 6

EXPLANATION

On a dot plot , we use dots to represent frequencies.

The frequency 6, is represented by 6 dots.

The frequency 7, is represented by 7 dots.

The frequency 9, is represented by 9 dots.

The frequency 8, is represented by 8 dots.

The smallest number of dots is represented by 6.

5 0

2 years ago

Read 2 more answers

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

1 year ago

Peter bought 2 1/2 pounds of hamburger meat.He is planning to make 1/4 pound hamburgers.How many 1/4 pound hamburgers can he mak

dexar [7]

Answer:

Step-by-step explanation:

divide the numbers for a anser

3 0

2 years ago

Evaluate the expression when a= 6 and c= -6. -a+9c

Troyanec [42]

Answer:

=-a +9c

=-6+9×-6

=-6+(-54)

=-6-54

=-60

hope it helps you!!!

stay safe healthy and happy!!!!

7 0

2 years ago

A recipe for beef stew calls for 1 pound of beef and 3 potatoes the recipe is doubled to include 2 pounds of beef and 6 potatoes

Lerok [7]

Pounds of beef and potatoes are in ratio or proportion of $\frac{1}{3}$ .

<u>Step-by-step explanation:</u>

Correct Question: A recipe for beef stew calls for 1 pound of beef and 3 potatoes. The recipe is doubled to include 2 pounds of beef and 6 potatoes. Which proportion represents the situation?

We have , A recipe for beef stew calls for 1 pound of beef and 3 potatoes , i.e.

Number of beef stew calls = 1

Number of potatoes = 3

Now , The recipe is doubled to include 2 pounds of beef and 6 potatoes i.e. for every 2 pounds of beef we have 6 potatoes

⇒ $2/6$