Answer:
P = 4x + 22
Step-by-step explanation:
Formula
Perimeter = 2*L + 2*W
Givens
L = x + 6
W = x + 5
Solution
Perimeter = 2*(x + 6) + 2*(x + 5) Remove the brackets on both terms
Perimeter = 2x + 12 + 2x + 10 Collect like terms
Perimeter = 4x + 22 Answer
<u>Answer:</u> The value of x can be either 5 or 10.
<u>Step-by-step explanation:</u>
We are given:
Total profit, P = $5600
The given equation follows:
⇒ P = 600 + 1500x - 100x²
Putting value of P in above equation, we get:
⇒ -100x² + 1500x + 600 = 5600
⇒ -100x² + 1500x - 5000 = 0
⇒ 100x² - 1500x + 5000 = 0
Solving this equation by middle term split, we get:
⇒ 100(x² - 15x + 50) = 0
⇒ (x² - 10x - 5x + 50) = 0
⇒ x(x - 10) - 5(x -10) = 0
⇒ (x - 10)(x - 5) = 0
⇒ x = 10, 5
Hence, the value of x can be either 5 or 10.
Answer:
No solution
Step-by-step explanation:
Simplify the left side.
−
3
x
−
10
=3
(
3
−
x
)
Simplify
3
(
3
−
x
).
−
3
x
−
10
=
9
−
3
x
Move all terms containing x to the left side of the equation.
−
10
=
9
Since
−
10
≠
9 , there are no solutions.
No solution
Answer:
Step-by-step explanation:
We can rewrite 7 as 3+4 then instead of 3*7 we have 3*(3+4).
Then distribute the 3 in the parenthesis 3*(3+4) = (3*3) + (3*4)