Set R(x) equal to C(x). Solve the resulting equation for x, paying attention to the domain of C(x):
Solve 200x-2x^2 = -x^2 + 25x + 31000 for x greater than or equal to zero but less than or equal to x. That means you must reject any solution outside of this domain.
Rearrange all of these terms on the left side of your equation and place zero on the right side. Next, rearrange all of the terms on the left side in descending order by powers of x. Next, solve the resulting quadratic equation. Make certain to reject any x that does not fall within [0,100].
Answer:
25 in and 9 cm
Step-by-step explanation:
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x be the missing side
A
x² = 7² + 24² = 49 + 576 = 625 ( take square root of both sides )
x =
= 25
B
x² + 12² = 15²
x² + 144 = 225 ( subtract 144 from both sides )
x² = 81 ( take square root of both sides )
x =
= 9
48 minutes
I had the same question I got it right
First write the question:
3a^2 + 4b^2
Substitute:
3 x (2^2) + 4 x (3^2)
Simplify:
(3 x 4) + (4 x 9)
Simplify again:
12 + 36
Answer:
48
Hope it helped :)
Answer:
(a) Shown below.
(b) Shown below.
(c) The probability that a person does not learn Spanish is 0.18.
(d) The probability that method B was used given that a student learned the Spanish successfully is 0.83.
Step-by-step explanation:
(a)
Consider the provided data.

Then the probability of not learning Spanish using the respective methods are:

(b)
The Probability Tree representing each of the probabilities mentioned above is attached below.
(c)
Compute the probability that a person does not learn Spanish as follows:


Thus, the probability that a person does not learn Spanish is 0.18.
(d)
Compute the probability that method B was used given that a student learned the Spanish successfully as follows:


Thus, the probability that method B was used given that a student learned the Spanish successfully is 0.83.