Greatest Common Factor. let's go over that. GCF of 6 and 12 would be 6 because 6 goes into 6, 1 times and 6 goes into 12, 2 times. . and it is the largest. so first you see if the lower number can go directly into the higher number. So 28a^2 b^2 c^2, is made of 14abc× 2abc. so you can say 14abc goes into 28a2b2c2, 2abc times. therefore 14abc is the largest factor.
Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
Step-by-step explanation:
easy to look up : mili stands for 1/1000
so,
500 ml are 500/1000 liters.
25 ml are 25/1000 liters (a tiny glass).
and 1 Iiter is of course, 1000/1000 liters (1000 ml).
4 liters 500 ml are then
4×1000/1000 + 500/1000 = 4500/1000 l = 4500 ml.
how many glasses of 25 ml can be filled with that ?
this is the same question as into how many parts of 25 can 4500 be split ? or, how often does 25 fit into 4500 ?
all this is done by division :
4500 / 25 = 180
so, 180 of such glasses can be filled.
Answer:
x^3 -9x^2 +14x +24
Step-by-step explanation:
(x-4)(x^2 - 5x - 6)
Multiply the x by everything in the second term
x * (x^2 - 5x - 6)
x^3 -5x^2 -6x
Multiply the -4 by everything in the second term
-4 * (x^2 - 5x - 6)
-4x^2 +20x +24
Add everything together
I like to line them up vertically
x^3 -5x^2 -6x
-4x^2 +20x +24
-------------------------------
x^3 -9x^2 +14x +24
