Answer:
y = -x - 3
Step-by-step explanation:
Plug in -1 for <em>x</em><em> </em>and your result will come out to 1 because of that double negative [-(-1) = 1]. Next, deduct 3 from 1 to get -2.
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A) 1st Row = 31 seats
2nd row = 37 seats
3rd row = 37+6 = 43 seats
4th row = 43+6 = 49 seats
5th row = 49+6 = 55 seats
B) The formula for finding the number of seats in any row number is:
Number of seats in nth row = 31 + (n-1) *6
C) To find the row with 103 seats, set the equation in B to equal 103 and solve for n:
103 = 31 + (n-1)*6
Subtract 31 from each side:
72 = (n-1)*6
Divide both sides by 6:
12 = n-1
add 1 to each side:
n = 13
The 13th row has 103 seats.
Answer: y = 3x+10
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Explanation:
The line y = 3x+11 is in slope intercept form y = mx+b where m = 3 is the slope. Anything parallel to this line will also have a slope of 3. Let's plug in m = 3 and (x,y) = (-2,4) which is the point this parallel line goes through.
y = mx+b
y = 3x+b ... replace m with 3
4 = 3(-2)+b ... replace x with -2; replace y with 4
4 = -6+b
4+6 = -6+b+6 ... add 6 to both sides
10 = b
b = 10
Since m = 3 and b = 10, this means that y = mx+b turns into y = 3x+10
Answer:
<em>x = -6</em>
Step-by-step explanation:
<u>Equations</u>
Solve the equation:
x + 6 = -x - 6
We must find the value of x that makes the identity above true.
Let's join all the variables on the left side and the numbers on the right side.
Adding x:
x + 6 + x = -x - 6 + x
The variables cancel out on the right side:
2x + 6 = -6
Subtracting 6:
2x + 6 - 6 = -6 -6
The 6 and -6 are canceled out:
2x = -12
Dividing by 2:
x = -12/2
x = -6
If 666 of the 888 planets have moons, 666/888=0.75, or 75%. So, 75% of the planets have moons.
