All categories

3 years ago

Graph y = 3x - 3 and label the x- and y-intercepts. My answer: (0,3)

1 answer:

5 0

The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .

You might be interested in

Which of these could be the graph of F(x) = ln x + 2?

vodomira [7]

Could you past the graphs. I would like to help:)

7 0

4 years ago

Read 2 more answers

A morning truck can carry no more than 1480 pounds of cargo. Brian loaded 640 pounds into the truck already. He is loading boxes

guajiro [1.7K]

Given :

A morning truck can carry no more than 1480 pounds of cargo.

Brian loaded 640 pounds into the truck already.

He is loading boxes that weigh 70 pounds.

To Find :

How many boxes can he out into the truck.

Solution :

Weight left for carrying cargo, W = 4180 - 640 pounds

W = 3540 pounds

Number of boxes of 70 pounds cargo he can carry in truck is :

$n =\dfrac{3540}{70}\\\\n = 50.57$ ≈ 50 .

Therefore, number of box they can carry is 50.

Hence, this is the required solution.

8 0

3 years ago

Cual es la respuesta de (x10+10y12) al cuadrado

padilas [110]

Answer:

$\mathrm{Expand}\:\left(x^{10}+10y^{12}\right)^2:\quad x^{20}+20x^{10}y^{12}+100y^{24}$

Step-by-step explanation:

$\left(x^{10}+10y^{12}\right)^2$

$\gray{\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2}$

$\gray{a=x^{10},\:\:b=10y^{12}}$

$=\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2$

$\black{\mathrm{Simplify}\:\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2:}$

$\left(x^{10}\right)^2+2x^{10}\cdot \:10y^{12}+\left(10y^{12}\right)^2$

$\gray{\left(x^{10}\right)^2=x^{20}}$

$\gray{2x^{10}\cdot \:10y^{12}=20x^{10}y^{12}}$

$\gray{\left(10y^{12}\right)^2=100y^{24}}$

$=x^{20}+20x^{10}y^{12}+100y^{24}$

6 0

3 years ago

What is the process of writing a number as a product of several factors

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

you need to write out all the numbers that contain the specific number in their times tables, for example. factors of 20 are 1, 20, 4, 5, and 2 because all these numbers have 20 in their times tables.

3 0

3 years ago

There is a 12.875 meter fence on one side of a rectangular garden. The gardener has 46.625 meters of fencing to enclose the othe

Harlamova29_29 [7]

10.4375

12.875×2=25.75 46.625-25.75=20.875 20.875÷2=10.4375

3 0

3 years ago