Good evening ,
Answer:
<h2>x = 3 or x = -21</h2>
Step-by-step explanation:
x²+18x=63 ⇌ x²+18x+81 = 63 + 81
⇌ (x+9)² = 144 ⇌ (x+9)² = 12² ⇌ (x+9-12)(x+9+12) = 0
⇌ (x-3)(x+21) = 0
⇌ x=3 or x=-21.
:)
To find f(5), just look at the table and find the value for x that corresponds with f(5). In this case, this value is -1.
So, your answer is B. -1.
Hope this helps!
You are buying 2 items so let's use two different variables to represent each:
p = number of tubes of paint
b = number of disposable brushes
cost = price per item × number of items
Equations from information given:
4p + 0.50b = 20 ← from the first 2 sentences
2p = b ← if there are twice as many brushes as paint tubes you need 2 times paint tubes to equal number of brushes
Solve the problem by using substitution... 1b equals 2p so replace b with that:
4p + 0.50(2p) = 20
4p + 1p = 20 ← 0.50 is half so half of 2p is 1p
5p = 20 ← combine like terms
p = 4 ← divide both sides of the equation by 5
Recall the equation 2p = b replace p with 4
2(4) = b
8 = b
ANSWER:
You purchased 4 tubes of paint and 8 disposable brushes.
Out of 8 men, 4 can be selected and lined up in (8 x 7 x 6 x 5) = 1,680 ways.
But within that number, each group of 4 appears in (4 x 3 x 2) = 24 orders.
So there are (1,680 / 24) = 70 different groups of men.
Out of 5 women, 3 can be selected and lined up in (5 x 4 x 3) = 60 ways.
But within that number, each group of 3 appears in (3 x 2) = 6 orders.
So there are (60 / 6) = 10 different groups of women.
Each different group of 70 men can be joined by any of the 10 groups
of women. So the total number of possible subcommittees is (70 x 10) = 700 .
Answer:
150 by 100
Step-by-step explanation:
