All categories

3 years ago

Which of the following could be the graph of 3x + 4y = 12?

Mathematics

1 answer:

Elan Coil [88]3 years ago

6 0

Answer:

A graph that goes through (4, 0), (8, -3), (0, 3), and (-4, 6)

Step-by-step explanation:

Hello!

To find what this looks like it is easier to put it into slope-intercept form which is y = mx + b

To get our equation to look like that we have to get y by itself

3x + 4y = 12

Subtract 3x from both sides

4y = -3x + 12

Divide both sides by 4

$y =- \frac{3}{4}x + 3$

We now know the y-intercept is (0, 3)

Now we follow the slope to give us more points

More points are (4, 0), (8, -3), and (-4, 6)

The answer would be a graph that goes through those points.

Hope this helps!

You might be interested in

How do you substitute 4(x) into the inequality 1/2x+5y-10<0 to find the possible value of y?

Veseljchak [2.6K]

You put 4 in the X
1/2(4)+5y-10<0
2+5y-10<0
-8+5y<0
5Y<8
Y<8/5

3 0

2 years ago

A firm manufactured 1000 Tv sets during its first yeae the total firns production during 10 years of operation is 29035 sets If

Alexus [3.1K]

Answer: the increase each year is 423 tv sets

Step-by-step explanation:

The formula for determining the sum of n terms of an arithmetic sequence is expressed as

Sn = n/2[2a + (n - 1)d]

Where

n represents the number of terms in the arithmetic sequence.

d represents the common difference of the terms in the arithmetic sequence.

a represents the first term of the arithmetic sequence.

From the information given,

n = 10 years

a = 1000

S10 = 29035

We want to determine d which is the amount by which the production increased each year. Therefore, the sum of the first 10 years would be

29035 = 10/2[2 × 1000 + (10 - 1)d]

29035 = 5[2000 + 9d]

29035/5 = [2000 + 9d]

9d = 5807 - 2000 = 3807

d = 3807/9 = 423

3 0

2 years ago

19. In the triangle ABC, the side lengths are BC = 14 and AC = 7. What's the angle measurement of B?

mr Goodwill [35]

Answer:

Is not possible to compute the angle under those conditions.

Step-by-step explanation:

You need more information, I will be more specific, there is a book called "Geometry" by Moise Downs where the following theorem is stated on the chapter 7.

Let ΔABC and ΔDEF be two triangles where AB = DE and AC = DF if

∠A > ∠D then BC > EF, which in simple terms means that, if two sides are equal, the angle between them can vary as much as you want and that will directly imply the size of the third size of your triangle.

Therefore, there is information missing in order to solve the question

8 0

3 years ago

A rectangular plot of ground is 10 meters longer than it is wide. It’s area is 20,000 square meters what equation will help find

kow [346]

If x=width, then the equation would be:

x(x+10)=20,000

The length is 10 meters longer than the width(x), so the length is x+10.
To get the area(20,000) you multiply width by length, hence x(x+10).

Hope this helps.

3 0

3 years ago

What equation results from completing the square and factoring x2+2×=9

Arturiano [62]

The answer should be A. If you need work I can show you.

5 0

2 years ago

Which of the following could be the graph of 3x + 4y = 12?​

Which of the following could be the graph of 3x + 4y = 12?