Answer:
8, 9, 10
Step-by-step explanation:
three positive consecutive integers
x, x + 1, x + 2
the product of the smallest and the largest is 26 more than six times the middle integer
x(x + 2) = 6(x + 1) + 26
Expand
x^2 + 2x = 6x + 6 + 26
Combine like terms
x^2 + 2x = 6x + 32
Subtract 6x + 32 from both sides
x^2 - 4x - 32 = 0
Factor
(Alternately use the quadratic formula or complete the sqaure)
(x - 8)(x + 4)
x = {-4, 8}
-4 is extraneous because the integers must be positive
x = 8
x + 1 = 9
x + 2 = 10
8, 9, 10
<u>Answer:</u> 5
<u>Reasoning:</u> You were born 7 years ago making you 7, now subtracting 2 from that age will result in 5.
7-2=5!
Answer:
Marginal revenue equation is 0.1262x +1.3878 the production of the given number of bushels.
Step-by-step explanation:
Explanation:-
Given the revenue equation is R(x)=0.0631x^2 +1.3878x +2.1447
where 'x' is in hundreds of millions of bushels.
marginal revenue formula is calculated by dividing the change in quantity sold
Now differentiating R(x) with respective to 'x' , we get
<u>conclusion</u>:-
Marginal revenue equation is 0.1262x +1.3878 where 'x' the production of the given number of bushels.
Answer:
Her overtime rate would be $19.5.
Step-by-step explanation:
Half of 13 is 6.5. If you add that to the $13 she makes, it would be $19.5.