A) The product of x and y equals 196. Thus, A) x is equal to 196 divided by y.
B) The sum of x and y is 35. By substituting A) into B), we have
B) 196 divided by y plus y equals 35. Multiplying both sides by y yields
B) 196 plus y squared equals 35y. This results in B) y squared minus 35y plus 196 equals 0.
Therefore, the solutions are X1 = 28 and X2 = 7.
Response:
$14
Step-by-step explanation:
35 divided by 20 equals 1.75
8 multiplied by 1.75 results in 14
Response:
The graph in question is linked to g(x) = -2x, though it is not provided.
Detailed explanation:
A reflection across the y-axis changes the sign of the x-coordinate for every point. To derive the new function, we substitute x with -x:
g(x) = f(-x) = 2(-x) = -2x
This leads us to g(x) = -2x.
Response:
Step-by-step explanation:
Assuming there are 100 sour candies, thus-
since 26% of the candies are grape, it follows that 26% of 100 candies means we have 26 grape candies
Consequently, the remaining candies that are not grape amount to 100-26 = 74
Applying the multiplication principle:
P(A ∩ B) = P(A)/ P(B|A)
Initially, there are 26 grape candies, therefore the probability of selecting the first grape candy = 26C1 = 26
After choosing the first one, we put the selected grape candy back, so there are still 100 candies total P(B|A) = 100C3 = 100 x 99 x 98 x 97!/3! X 97!
= 50 x 33 x 98
Thus, the probability becomes 1/ 50 x 33 x 98 x 26
= 1/4204200
