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3 years ago

Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.

Mathematics

1 answer:

const2013 [10]3 years ago

8 0

Answer:

y + 12 = 3(x - 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE term of what they really are. Since both lines contain have to have similar rate of changes [slopes], we do not go any further.

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What is the sum ? (2x^2-4x+1)+(5x+x^2-1)

Ipatiy [6.2K]

$Hello$ $There!$

The answer is...

$3x^2+x$

HERE'S A EXPLANATION!

$2x^2-4x+1+5x+x^2-1$

$=2x^2+-4x+1+5x+x^2+-1$

Combine these like terms!

$=2x^2+-4x+1+5x+x^2+-1$

$=(2x^2+x^2)+(-4x+5x)+(1+-1)$

$=3x^2+x$

ANSWER!

$=3x^2+x$

Hopefully, this helps you!!

$AnimeVines$

6 0

3 years ago

Please graph the solution!

Crank

First solve the problem!

6 0

3 years ago

Mattias bought a package of 5 notebooks for $13.95. What is the unit price per notebook?

Marysya12 [62]

Answer:

2.79

Step-by-step explanation:

this solution:

5x=13.95

x=13.95/5

x2.79

so answer is 2.79

5 0

3 years ago

Read 2 more answers

A manager wishes to determine the relationship between the number of miles traveled (in hundreds of miles) by her sales repres

kati45 [8]

Answer:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

Step-by-step explanation:

For this case we assume the following data:

Miles traveled (X): 2,3,10,7,8,15,3,1,11

Sales (Y): 31,33,78,62,65,61,48,55,120

We want to found a linear model like this one : $y = mx+b$ . Where:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.667$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.444$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.444-(3.529*6.667)=37.917$

So the line would be given by:

$y=3.53 x +37.92$

And for 0 miles if we use the model we got:

$y(0)= 3.53*0 +37.92 = 37.92$

But for this case. No is not reasonable for a representative to travel o miles and have a positive amount of sales.

8 0

3 years ago

Please help? Will mark brainliest

wlad13 [49]

Answer:

The answer is C

Step-by-step explanation:

Move the nine to the other side of the equal sign

Use the quadratic formula

Find a, b, and c

A=2, B=1, C=-10

Plug them in

1 squared minus 4(2)(-10)

1+80

Square root of 81=9

-1-9 -1+9

4 4

-10 8

4 4

Simplify

-5 2

2 1

-5 2

7 0

4 years ago