All categories

2 years ago

-3x+3y=12 Y=x+4 Whats the soultion

Mathematics

1 answer:

lisov135 [29]2 years ago

5 0

The system of equations has infinitely many solutions

Solution:

Given system of equations are:

-3x + 3y = 12 ------- eqn 1

y = x + 4 --------- eqn 2

We have to find the solution to the system of equations

We can use substitution method

Substitute eqn 2 in eqn 1

-3x + 3(x + 4) = 12

-3x + 3x + 12 = 12

-3x + 12 = -3x + 12

If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions

Thus the system of equations has infinitely many solutions

You might be interested in

First right equals brainliest, Pls dont answer for the points this is serious. I just need this and 3 more which I will ask late

Alex

I can't see the picture, can you please explain the problem in the comment bar below this so can edit my answer to help?

7 0

2 years ago

Read 2 more answers

Derek owns a landscape business. He charges a fixed fee of $30 plus $1 per 1,000 square feet of lawn mowed. Derek's earnings (in

luda_lava [24]

From the given problem statement alone, we can say that the equation relating the area of the lawn mowed and the earnings has a linear relationship. That is because there is a constant increase in the earnings per area which is $1 per 1000 square feet.

Therefore the equation must be in the form of:

y = m x + b

where,

y = is the total earnings

m = is the fee per area = 1 / 1000

x = is the area of the lawn

b = is the fixed fee = 30

Therefore the equation becomes:

y = 0.001 x + 30

Rewriting this in terms for x since we are to find the area:

x = (y – 30) 1000

when y = 204

x = (204 – 30) 1000 = 174,000 square feet

when y = 344

x = (344 – 30) 1000 = 314,000 square feet

when y = 450

x = (450 – 30) 1000 = 420,000 square feet

when y = 482

x = (482 – 30) 1000 = 452,000 square feet

when y = 504

x = (504 – 30) 1000 = 474,000 square feet

8 0

2 years ago

Gift shop (Tree Diagram)

valkas [14]

Answer:

Part 6: Gift Shop (Tree Diagrams)

The furry brown bear name can be Beary Potter, it's a good legit name for the bear.

Step-by-step explanation:

PS: I can't help you with the other answers because there is no diagram to be shown for the problem to be understood.

Note: Please mark me as brainliest for the greatest idea of the bear name.

Thank you

-DemonDaGoat

6 0

1 year ago

PLS HELP ME I ONLY HAVE # HOURS TO COMPLETE I WILL MARK THE BRAINLIEST!!!

nata0808 [166]

triangle on right is the same as the triangle on the left

use pythagorean theorem

hypotenuse will give to the sides of the rectangle

a^2 + b^2 = hypotenuse squared

10.4^2 = 108.16

15.3^2 = 234.09

342.25 = hypotenuse squared

take the square root in both sides

hypotenuse = the square root of 342.25 =

18.5

add up the areas of the 2 triangles and rectangle

triangle area is 1/2 times 10.4 times 15.3 =

79.56

2 triangles areas are 159.12

rectangle area is 18.5 × 7 = 129.5

159.12 + 129.5 = 288.62

answer 1 = 288.62

second question:

to get 1 side take the

square root of 702.25 which is

26.5

to get the perimeter

multiply 26.5 by 4 which is

106

answer 2 is choice B 106

3 0

1 year ago

Simplify this expression

kompoz [17]

The first step for solving this problem is to know that in order to divide by a fraction,, we must multiply by the reciprocal of that fraction. This will look like the following:
$\frac{x+2}{ x^{2} -6x-16}$ × 9x
Write -6x as a difference.
$\frac{x+2}{ x^{2} +2x-8x-16}$ × 9x
Factor out x from x² + 2x.
$\frac{x+2}{ x X (x+2)-8x-16}$ × 9x
Factor out -8 from -8(x + 2).
$\frac{x+2}{ x X (x+2)-8(x+2)}$ × 9x
Factor out x + 2 from the denominator (bottom) of the expression.
$\frac{x+2}{(x+2)X(x-8)}$ × 9x
Reduce the fraction with x + 2
$\frac{1}{x-8}$ × 9x
Finally,, calculate the product to find your final answer.
$\frac{9x}{x-8}$
This means that the correct answer to your question is going to be option B.
Let me know if you have any further questions.
:)

3 0

2 years ago