It’s actually 25.2% of boys prefer to play inside
Answer: 3p² + q² - 5pq - 10 < 0
<u>Step-by-step explanation:</u>
p² - q² + 2pq < -2p² - 2q² + 7pq + 10
since you didn't specify what to solve for, move everything from the right side to the left side of the inequality symbol using inverse operations.
(p² + 2p²) + (- q² + 2q²) + (2pq - 7pq) + (- 10) < 0
3p² + q² + -5pq + -10 < 0
3p² + q² - 5pq - 10 < 0
Answer:
Step-by-step explanation:
(2):
First let's organise the data:
33 miles ... x mph ... 4h - downstream
33 miles ... y mph ... 7h - up the stream
x = 33/4 = 8.25 mph
y = 33/7 = 4.71 mph
(3)
P(x) =
To find the amount of key rings sold when the profit is 5000$ we have to equate P(x) with 5, because in the problem the profit of the key rings is displayed in terms of thousands.
Since the number of keyrings sold has to be positive the only answer is 4 thousand key rings.
Hello!
The recursive rule for an arithmetic sequence: .
The explicit rule for an arithmetic sequence: .
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given, and ...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A, .
If you wondered why, is equal to , the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes and equal to each other.
Answer:
5/ 12 =
1/3 =
Step-by-step explanation:
They are already simplified. They can't go lower.