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77julia77 [94]
3 years ago
9

Solve the systems using substitution. − 2x − 5y = − 5 x = 5y − 20

Mathematics
1 answer:
Law Incorporation [45]3 years ago
7 0
-2(5y-20) - 5y = -5
-10y + 40 - 5y = -5
-15y + 40 = -5
-15y = -45, y = 3
x = 5(3) - 20
x = 15 - 20, x = -5
Solution: x = -5, y = 3... or (-5,3)
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Find an equation for the graph
Elanso [62]

Answer:

y=6^x+0.612 - 4

Step-by-step explanation:

x = -4 ---> horizontal asymptote

m = 6 ---> use points (0, -1) and (1, 5)

Parent function of the graph: y=b^x

Our equation: y=6^x

Add alterations:

  1. Reflections = N/A
  2. Vertical & horizontal shifts = down 4
  3. Vertical & horizontal stretches = left approx 0.612

Final equation: y=6^x+0.612 - 4


6 0
2 years ago
A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length
lina2011 [118]
The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2)  perform indicated multiplication on right side

S^2=2S^2-4S-3S+6  combine like terms on right side

S^2=2S^2-7S+6  subtract S^2 from both sides

S^2-7S+6=0  factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S.  Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3  given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.


5 0
3 years ago
What is the solution of the system of linear equations below?
Kipish [7]

Answer:

A is the correct answer

Step-by-step explanation:

To get the fastest answer for these kind of questions, you just have to apply (0, -2) into either one of the 2 equations:

2 * 0 - 6 * (-2) = 12

0 - (-12) =12

0 + 12 = 12  (TRUE)

So the solution will be (0, -2)

6 0
3 years ago
Read 2 more answers
-3-2(2x-3) simplified
ddd [48]
First Distribute, then subtract and you’ll get -4x+3
6 0
3 years ago
Someone please explain I have zero clue how to answer this! ​
UkoKoshka [18]

Answer:

x=62

Step-by-step explanation:

152-90(because of the right angle)

the 28 is a red herring

4 0
3 years ago
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