Answer:
1. .
2. .
3. .
4. .
5. .
Step-by-step explanation:
1. The product of the third power of a and the fourth power of b = .
The 'third power of a' means 'a to the power 3' and 'fourth power of b' means 'b to the power 4'.
2. Six less than three times the square of Y means .
Here, 'three times the square of Y' means 'product of 3 and Y to the power 2', and 'six less than' means 'subtract 6 from the expression'.
3. The sum of a and b increase by the quotient of b and a means .
Here, 'quotient of b and a' means 'b divided by a'.
4. Four times the sum of r and a increased by twice the different r and s means .
Here, 'increased by' means 'addition' and 'different r and s' means 'r minus s'.
5. Triple the difference of 55 and cube of w means .
Here, triple means 3 times. (Answer)
Answer:
π -
Step-by-step explanation:
note that = x
Given
= π -
Answer: The claim is not valid because the average is 2
Answer:
2 and 4
Step-by-step explanation:
Multiply both sides of the first equation by
:
This is quadratic in
; to make this clear, substitute
. Then
One of these solutions for
is negative. But, if
is real, then
is always supposed to be positive, so we can throw out the negative root, leaving
.
We actually don't have to solve for
exactly. We can just rewrite the next two equations in terms of
.
Since
, we get