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SOVA2 [1]
3 years ago
5

Substitution y=1/2x+2, y=x+1

Mathematics
1 answer:
dem82 [27]3 years ago
6 0

Answer: point form (2,3) and equation form is x=2  y=3

Step-by-step explanation:

would you like for me to explain it for you

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Jermaine, Keira, and Leon are buying supplies for an art class. Jermaine bought 2 canvases, 4 tubes of paint, and 2 paint brushe
maria [59]

Answer:

canvas $3

tube of paint $5

paint brush $4

Step-by-step explanation:

We need to choose variables for the prices of the different items, translate the sentences into equations, and solve a system of equations.

1. Define variables

Let c = price of 1 canvas, t = price of 1 tube of paint, and b = price of 1 brush.

2. Translate sentences into equations

"Jermaine bought 2 canvases, 4 tubes of paint, and 2 paint brushes for $34."

2c + 4t + 2b = 34

"Keira spent $22 on 1 canvas, 3 tubes of paint, and 1 paint brush."

c + 3t + b = 22

"Leon already has plenty of paint, so he bought 3 canvases and 2 paint brushes for $17."

3c + 2b = 17

The system of equations is

2c + 4t + 2b = 34       Eq. 1

c + 3t + b = 22           Eq. 2

3c + 2b = 17               Eq. 3

Since the third equation has only the variables c and b, we use the first equations to eliminate variable t and give us an equation in only c and b.

3 * Eq. 1 - 4 * Eq. 2

2c + 2b = 14

c + b = 7            Eq. 4

Eq. 3 and Eq. 4 form a system of equations in two variables.

3c + 2b = 17      Eq. 3

c + b = 7          Eq. 4

Solve Eq. 4 for b.

b = 7 - c        Eq. 5

Substitute into Eq. 3.

3c + 2(7 - c) = 17

3c + 14 - 2c = 17

c = 3

Plug in c = 3 into Eq. 5.

b = 7 - 3

b = 4

Plug in c = 3 and b = 3 into Eq. 2.

c + 3t + b = 22           Eq. 2

3 + 3t + 4 = 22

3t + 7 = 22

3t = 15

t = 5

Answer:

canvas $3

tube of paint $5

paint brush $4

7 0
2 years ago
How far is 0, 7 from the origin
Delvig [45]

Answer:

7

Step-by-step explanation:

Count the numbers in between (0,0) and (0,7).

5 0
2 years ago
Erin writes the set of ordered pairs below. The set represents a function.
tino4ka555 [31]
Point A shows that she is incorrect.
With functions, you can perform the "straight line test through each point. If the line goes through both points, you know it's not a function.
If we plotted point A, it'd fail the straight line test because the given point (-6, 7) already has -6 as an x value.
Hope this helps!
7 0
2 years ago
3p(x-4) + 18(x-2)...pls find answer
Andrew [12]

Answer:

3px-12p+18x-36

Step-by-step explanation:

Simplify each term

8 0
2 years ago
Read 2 more answers
If –y + 2x^2 – x = -5y^3 then find dy / dx in terms of x and y.
vlada-n [284]

Answer:

dy/dx = \frac{4x-1}{1-15y^{2} }

Step-by-step explanation:

-y + 2x²- x = -5y³

2x² - x = y - 5y³

4x - 1 = dy/dx - 15y².dy/dx

dy/dx(1 - 15y²) = 4x - 1

dy/dx = \frac{4x-1}{1-15y^{2} }

8 0
2 years ago
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