5 is a coefficient. A coefficient is a number multiplied by a variable.
(2y+13) is a factor. It can be multiplied by 8 to get an extended answer.
-1 is a constant. A constant is a number that does not change.
Hope this helps!
Answer:
Relation #2 and #4
Answer:
11 kittens and 12 parakeets
Step-by-step explanation:
each kitten has 4 feet while each parakeet has 2
11 x 4 = 44 (kittens)
12 x 2 = 24 (parakeets)
11 + 12 is 23 which is your 23 heads.
44 + 24 is 68 which would be your feet
I agree. !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
