Answer:
- (b - 9)(b + 8)
Step-by-step explanation:
72 + b - b² ← factor out - 1 from each term and rearrange into standard form
= - (b² - b - 72) ← factor the quadratic
Consider the factors of the constant term (- 72) which sum to give the coefficient of the b- term (- 1)
The factors are - 9 and + 8
Use these factors to split the b- term
b² - 9b + 8b - 72 ( factor the first/second and third/fourth terms )
b(b - 9) + 8(b - 9) ← factor out (b - 9) from each term
(b - 9)(b + 8)
Then
72 + b - b² = - (b - 9)(b + 8)
The sum of solar energy can assumed as 'x', so it is easy to conclude that the sum of wind energy is '8x+56'. From the above assumption, we can easily get that 'x+8x+56=1037', to solve thi<span>s equation and get tha</span>
4x + 13y = 40
4x + 3y = -40
multiply second equation by -1
4x + 13y = 40
-4x - 3y = 40
add equations together
10y = 80
y = 8
put y in either original equation
4x + 3(8) = -40
4x + 24 = -40
subtract 24 from both sides
4x = 64
x=16
y=8
we have
To find the inverse
Step 1
Exchanges the variables, x for y and y for x
Step 2
Isolate the variable y
Square Root both sides
Step 3
Let
so
therefore
<u>the answer is</u>
The inverse is
The new tea is 75% Earl Grey and 25% Orange Pekoe.
$4 / pound times 75% = $3
$2 / pound times 25% = $0.5
$3 + $0.5 = $3.50 / pound
600 pounds times 75% = 450 pounds of Earl Grey
600 pounds times 25% = 150 pounds of Orange Pekoe
