Answer:
-8x^2+26x-21
Step-by-step explanation:
The given ratio of powder to water is 3:2 based on weight for Kool-aide. It is also given that 120g of flavored powder is needed for a certain amount of Kool-aide.
Let us assume that the amount of water (by weight) required to maintain the given ratio of 3:2 be represented by the letter
. Thus, from the given information we can conclude that:


Cross-multiplying we get:

grams.
Thus, the amount of water in grams in that Kool-aide is 80 grams.
Answer:
-4a^2 -7a^2 - 2ab +3ab +9b^2 -5b^2
11a^2 + ab +4b^2
Step-by-step explanation:
Answer:
(8, - 2 )
Step-by-step explanation:
A translation of 4 units right means add 4 to the x- coordinate
A translation of 5 units up means add 5 to the y- coordinate
(x, y ) → (x + 4, y + 5 ) ← translation rule, then
(4, - 7 ) → A'(4 + 4, - 7 + 5 ) → A'(8, - 2 )
The correct answers are the second option (Option B) and the last option (Option E).
The explanation is shown below:
1. By definition, a geometric sequence is a sequence of numbers each number, after the first one, is the result of multiply the previous number by a common ratio.
2. The Option B has the following common ratio:
(2/3) / (4/9)=1.5
1/(2/3)=1.5
r=1.5
3. The Option E has the following common ratio:
-15/3=-5
75/-15=-5
r=-5