a²b is the same thing as ba²
b and a are two separate variables lets pretend a is 2 and b is 3
2² * 3 = 4 * 3 = 12
3 * 2² = 3 * 4 = 12
this is the commutative property of multiplication
Simplified the answer is -9x^2 + 12xy
Answer:
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Step-by-step explanation:
We are told she would like to have at least 40 cupcakes and cookies combined.
If a is number of cupcakes and b is number of cookies, then this inequality is;
a + b ≥ 40
Secondly, we are told she would like to have at most 5 more cupcakes than cookies.
Thus, the inequality is;
a + 5 ≤ b
Lastly, we are told that cupcakes sell for $2.50 and cookies for $1.50
Thus, the inequality is;
2.50a + 1.50b ≤ 105
Finally, the 3 inequalities are;
a + b ≥ 40
a + 5 ≤ b
2.50a + 1.50b ≤ 105
Answer:
k = 
Step-by-step explanation:
Expand.
11k - 8 = 11 + 8k + 72
Simplify 11 + 8k + 72 to 8k + 83.
11k - 8 = 8k + 83
Add 8 to both sides.
11k + 8k + 83 + 8
Simplify 8k + 83 + 8 to 8k + 91.
11k = 8k + 91
Subtract 8k from both sides.
11k - 8k = 91
Simplify 11k - 8k to 3k.
3k = 91
Divide both sides by 3.
k =
Answer:
x = 6 and DF = 3*6-3 = 15
Step-by-step explanation:
Given triangles are similar and their side lengths are proportional
the similarity ratio for this pair is 4/8 = 1/2
the length of DF:
(7.5)/(3x - 3) = 1/2 cross multiply expressions
3x - 3 = 15 add 3 to both sides
3x = 18 divide both sides by 2
x = 6 and DF = 3*6-3 = 15
