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Mars2501 [29]
3 years ago
5

Is the point (4,2) the solution to the system? Why or why not? Explain your reasoning.

Mathematics
1 answer:
VMariaS [17]3 years ago
4 0
Solve the top equation to get on variable on one side
2x-y=6
-y=-2x+6
y=2x-6
then plug in the coordinate for x and y for both equations. if both equations are true then it’s a solution
2=2(2)+6
2=10

4+2=6

so it’s not a solution
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Tan's electricity bill for the month of August was $267.00. His September bill showed a 2% increase from his August bill. In Oct
vovikov84 [41]
267 x 0.02 = 5.34
267 + 5.34 = 272.34

267 x 0.08 = 21.36
267 - 21.36 = 245.64


267 + 272.34 + 245.64 = $784.98
7 0
3 years ago
Joseph wants to line his garden with a fence that cost $2.25 per foot. The length of the garden is 6 yards and the width is 2.5
Galina-37 [17]

Answer:

$38.25

Step-by-step explanation:

Perimeter of a rectangle = 2W + 2L

(where W is the width and L is the length)

Given:

  • width = 2.5 yd
  • length = 6 yd

⇒ perimeter = (2 x 2.5) + (2 x 6)

                     = 5 + 12

                     = 17 yd

Given:

  • cost of fence = $2.25 per foot

⇒ total cost = 17 x 2.25

                    = $38.25

7 0
3 years ago
Read 2 more answers
which ordered pairs in the form (x, y) are solutions to the equation 3x−4y=21 ? Select each correct answer. (−1, −6) (−3, 3) (11
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

To determine which ordered pairs are solutions to the equation

Substitute the x and y values into the left side of the equation and if equal to the right side then they are a solution.

(- 1, - 6)

3(- 1) - 4(- 6) = - 3 + 24 = 21 = right side ← thus a solution

(- 3, 3)

3(- 3) - 4(3) = - 9 - 12 = - 21 ≠ 21 ← not a solution

(11, 3)

3(11) - 4(3) = 33 - 12 = 21 = right side ← thus a solution

(7, 0)

3(7) - 4(0) = 21 - 0 = 21 = right side ← thus a solution

The ordered pairs (- 1, - 6), (11, 3), (7, 0) are solutions to the equation

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=f%28n%29%3D3%5En" id="TexFormula1" title="f(n)=3^n" alt="f(n)=3^n" align="absmiddle" class="la
andrezito [222]

Answer:

24(f(n))

Step-by-step explanation:

f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}

so

f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}

= 27(3^n) - 3(3^n)

= 24(3^n)

= 24(f(n))

hope this helped! :)

4 0
2 years ago
i have 30 coins. some of them are dimes, and some of them are quarters. in total, i have $4.05. how many of each coin do i have?
emmainna [20.7K]

Answer:

23 dimes and 7 quarters

Step-by-step explanation:

The least amount of money using the most coins are 30 dimes ($3.00)

4 0
3 years ago
Read 2 more answers
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