Answer: 3 and 12
<u>Step-by-step explanation:</u>
Let x represent one of the numbers and y represent the other number. Then,
Sum: x + y = 15 → y = 15 - x
Product: xy = 36
Use substitution method by replacing "y" with "15 - x" in the second equation, then solve for x:
x(15 - x) = 36
15x - x² = 36
0 = x² - 15x + 36
0 = (x - 3)(x - 12)
0 = x - 3 and 0 = x - 12
x = 3 x = 12
Answer:
D
Step-by-step explanation:
Answer:
Sometimes true, because x could be anything
Step-by-step explanation:
The derivative of f(x) at x=3 is 2x=6 approaching from the left side (apply power rule to y=x^2). The derivative of f(x) at x=3 is m approaching from the right side. In order for the function to be differentiable, the limit of derivative at x=3 must be the same approaching from both sides, so m=6. Then, x^2=mx+b at x=3, plug in m=6, 9=18+b, so b=-9.