Answer:
3(2x + 3y)
Step-by-step explanation:
Here, we want to divide
The inner term of the first part can be splitted by the use of the difference of two squares
That is;
given two perfect squares, separated by negative; we can write the factors as;
a^2-b^2 = (a-b)(a + b)
Thus;
4x^2 - 9y^2 = (2x-3y)(2x + 3y)
matching term for term;
6x/2x will give 3
while (2x-3y)(2x + 3y)/(2x-3y) = 2x + 3y
So we have the results of the division as;
3(2x + 3y)
Answer:
a. (x^3+8)(x^2-4)
b. x=1 and x=1/2
Step-by-step explanation:
a. (x^3+8)(x^2-4) = x^5-4x^3+8x^2-32 [foil method: first,outside,inside,last]
b. use quadratic formula: -b +/- square root b^2-4ac / 2a
2=a; -3=b; 1=c
-(-3) + square root (-3)^2 - 4(2)(1) / 2(2)
3 + 1 / 4 = 4/4 = 1
3 - 1/4 = 2/4 = 1/2
You just need to list the factors of all 3 numbers, and see what numbers they have in common!
15: 1,3,5,15
18: 1,2,3,6,9,18
12: 1,2,3,4,6,12
so in all you can say that the common factors of 15,18,12 is: 1 and 3
Answer:
see below
Step-by-step explanation:
Let r = number of rides
total amount of money spent has to be less than or equal to 50
costs are admission and food and rides
rides cost 1.50 each
50≥ admission + food + rides
50 ≥ 15 +10 + 1.50r
Combine like terms
50 ≥25 + 1.50 r
Subtract 25 from each side
50-25 ≥25-25 + 1.50 r
25 ≥ 1.50 r
Divide by 1.5 on each side
25/1.5 ≥ 1.5r/1.5
50/3 ≥ r
Changing this to a mixed number
16 2/3 ≥r
We can only take a whole number of rides
r = 16
Beverly has not spent all of her 50 dollars since there was a fraction for the rides
cost = 15 +10 + 1.50r
15+10 + 1.5*16
25+24
49
She has 1 dollar left
Answer:
36 is the answer of this question
