Answer:
Prime
Step-by-step explanation:
x² + 20x − 36
You must find a pair of numbers that multiply to give -36 and add to give +20.
The likely candidates are 2 and 18, and they must have opposite signs to give a negative product.
+2 × (-18) = -36; +2 + (-18) = -16
-2 × 18 = -36; -2 + 8 = +16
Neither combination gives +20 as the sum.
The expression can't be factored with rational numbers.
The expression is prime.
Answer:
Step-by-step explanation:
A)
The parallelogram area formula is b*h just like a square but the height is the distance from the base to the parallel top .. not the side length.. that's the only difference.
the base is x+4
total area is 5x+20
so use those in our formula
area = b*h
5x+20 = x+4 * h now solve for h (yes we'll have an x in the other side, but that's okay b/c their formulas do also)
(5x + 20) / (x+4) = h
B)
area = b*h
8x-24 = b*8
(8x-24)/8 = b
8x/8 - 24/8 = b
x -3 = b
C)
area = b * h
12x + 6y = 6 * h
(12x + 6y) / 6 = h
12x/6 + 6y/6 = h
2x + y = h
voila you're don :)
For number 9, you know that it makes 40 copies every five minutes. All you have to do is divide 40 by 5.
40 ÷ 5 = 8
It makes 8 copies every minute.
Your chart can also help you check your answer. It says that it makes 96 copies every 12 minutes and it makes 104 copies every 13 minutes. So multiply 8 by 12 to check it and 8 by 13.
8 • 12 = 96
8 • 13 = 104
Since those answers match up with the chart, it must be correct.
The photocopier makes 8 copies every minute. Hope that helps!
