Answer:
a < 42
Step-by-step explanation:
Question : 4a + 9a - 6a < 42
Answer :
4a + 9a - 6a < 42
Combine like terms.
13a - 6a < 42
7a < 42
Divide both sides by 7.
a < 42
Hope this helps you :-)
Let me know if you have any other questions :-)
Answer:
A
Step-by-step explanation:
Given
(- 12x + 4) + 
(6x + 8) ← distribute parenthesis
= - 9x + 3 + 3x + 4 ← collect like terms
= - 6x + 7 → A
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
Answer:
5*5 = one face = 25 inches squared
6 faces times 25 inches square = 150 inches squared
Step-by-step explanation:
Answer:
C(p) = 4,96 (in thousands of dollars)
l = 2980 $ invest in labor
k = 2980 $ invest in equipment
Step-by-step explanation:
Information we have:
Monthly output P = 450*l*k ⇒ k = P/450*l
But the production need to be 4000
Then k = 4000/450*l
Cost of production = l * k (in thousands of dollars)
C(l) = l + 4000/450*l
Taking derivatives (both members of the equation)
C´(l) = 1 - 400 /45*l² ⇒ C´(l) = 0 ⇒ 1 - 400/45l² = 0
45*l² - 400 = 0 ⇒ l² = 400/45
l = 2.98 (in thousands of dollars)
l = 2980 $ And
k = 400/45*l ⇒ k 400/45*2.98
k = 2.98 (in thousands of dollars)
C(p) = l + k
C(p) = 2980 + 2980
C(p) = 5960 $
