All categories

3 years ago

2x+y=1 and 2x + 4y = 12 Graph the system of equations

Mathematics

1 answer:

AleksandrR [38]3 years ago

5 0

Answer:

see below for a graph

Step-by-step explanation:

A graphing calculator makes this short work.

You can find the x- and y-intercepts by setting the opposite variable to zero.

First equation x-intercept is the solution to 2x +0 = 1: x = 1/2. The y-intercept of that equation is the solution to 2·0 +y = 1: y = 1. The graph is the line through these points.

Second equation x-intercept is the solution to 2x +4·0 = 12: x = 6. The y-intercept is the solution to 2·0 +4y = 12: y = 3. The graph is the line through these points.

You might be interested in

Twenty percent of what number is 9?

vampirchik [111]

Answer:

Step-by-step explanation:

There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.

3 0

3 years ago

How many thirds are in 4/5?

meriva

Answer:

5/12

Step-by-step explanation:

sorry if I'm incorrect can you mark brainiest please

6 0

3 years ago

HELP! ASAP!

Novosadov [1.4K]

Step-by-step explanation:

Part A:

So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)

v = x(4-2x)(8-2x)

Part B:

The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation

so for the x in front it must be greater than 0 to make sense

for the (4-2x), the x must be less than 2 or else the width is negative.

for the (8-2x) the x must be less than 4 or else the length is negative

so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0

By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317

5 0

2 years ago

Point A(12, 0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B

Delvig [45]

The distance is 12/-5

4 0

3 years ago

What is the slope of the line that passes through (8,4) and (6,7)?

bija089 [108]

$slope=\frac{y_2-y_1}{x_2-x_1}\\\\ 
(x_1,y_1)=(8,4)\\ 
(x_2,y_2)=(6,7)\\\\
 slope=\frac{7-4}{6-8}=\frac{3}{-2}=-\frac{3}{2}\\\\
Slope\ is\ equal\ to\ -\frac{3}{2}.
$

4 0

3 years ago