All categories

2 years ago

Question 10 of 15 What is the solution to the system of equations graphed below?

Mathematics

2 answers:

Natali [406]2 years ago

8 0

Answer: (1, 5)

Step-by-step explanation: Over to the right one, up five; I hope this helps!

Key: (xGraph, yGraph) If a number is positive on the x axis, go right, if negative, go left. The same applies to the y graph, if the number is positve, go up, if negative go down. Your solution is where the two lines meet.

storchak [24]2 years ago

3 0

Answer:

(1,5)

Step-by-step explanation:

The solution to the system of equations is where the two graphs intersect.

The two lines intersect at x=1 and y =5

The point of intersection is (1,5)

You might be interested in

Describe how to solve problems for the area of a reduced or enlarged figure when the scale factor and dimensions of the original

Murrr4er [49]

Answer:We are going to define the following variables:

A: Area of the original figure.

k: scale factor.

We have that the area of the new figure (reduced or enlarged, depends on the value of k) is:

A '= k ^ 2 * A

Example: rectangle of dimensions (2) * (3) A factor of k = 2 is extended. Find the new area.

The original area is:

A = (2) * (3) = 6

The new area will be:

A '= (2 * 2) * (2 * 3) = 4 * 6 = 24

Or equivalently:

A '= k ^ 2 * A

A '= (2) ^ 2 * (6) = 4 * 6 = 24

8 0

3 years ago

Read 2 more answers

What ordered pair is a solution to the equation y=-3x-5

Kay [80]

Answer:

[1,2] [2,-1]

Step-by-step explanation:

6 0

3 years ago

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

storchak [24]

Answer:

C + ⅖|x| - (³/₂)x²

Step-by-step explanation:

ƒ(x) = ⅖ - 3x ; x > 0

The antiderivative of ƒ(x) is a function that you can differentiate to get ƒ(x). It is the indefinite integral of ƒ(x).

Thus, if ƒ(x) = ⅖ - 3x, we must find ∫(⅖ - 3x)dx .

∫(⅖ - 3x)dx = ∫⅖dx - ∫3xdx = ⅖∫dx - 3∫xdx

(a) Integrate the first term

⅖∫dx = ⅖x

(b) Integrate the second term

∫xdx =½x², so

3∫xdx = (³/₂)x²

(c) Add the constant of integration, C

Remember that dC/dx =0 when C is a constant.

We don't know if there's a constant term in the antiderivative (there may or may not be one), so we include the constant term C to make it general.

(d) Combine the three terms

∫(⅖ - 3x)dx = C + ⅖x - (³/₂)x²

We must have x > 0, so

∫ƒ(x)dx = C + ⅖|x| - (³/₂)x²

Check:

(d/dx)( C + ⅖|x| - (³/₂)x²) = 0 + ⅖ - 3x = ⅖ - 3x

Differentiating the integral returns the original function.

8 0

3 years ago

-4 1/2 x -3 3/4 <br> Does anyone know how to get the answer to that

taurus [48]

Hello there! Given the equation, we can solve through a series of steps:

1. Convert

In this step, we convert the mixed numbers to make them improper:

2 x 4 + 1 = 9, which means -4 1/2 = -9/2

4 x 3 + 3 = 15, which means -3 3/4 = -15/4

2. Multiply

Now that we have the improper fractions, we can multiply accordingly:

(-9/2 • -15/4) = -135/8

3. Simplify

Since we have our result, we can simplify to a mixed number:

-135/8 = 16 7/8

Your final answer is 16 7/8. Hope this helps!

8 0

2 years ago

rashid can paint 2 square feet of fence in 10 minutes how long will it take him to paint a fence 6 feet high by 25 feet long

Stells [14]

The area of the fence is 6*25=150 square feet.
It will take him 150 / 2 = 75 of 10-minute intervals. 75 min *10 = 750 min = 750/60 hours = 12.5 hours.

7 0

3 years ago

Read 2 more answers