The opposite of 12 is -12 . To add negative<span> numbers to </span>positive<span> numbers count backwards, as if you were subtracting. We have the problem: 1+ (-12). This can be read as “one </span>plus negative<span> twelve.” This can also be read as 12-1 which is 11 so the answer is 11.</span>
Answer:
y = 0.5 (x^2 -2x + 16) has a y-intercept of 8.
Step-by-step explanation:
The x-coordinate of every y-intercept is zero. To determine which of the four quadratics given here has a y-intercept of 8, we need only substitute 0 for x in each; if the result is 8, we've found the desired quadratic.
O y = 0.5(x + 2)(x + 4) becomes y = 0.5(2)(4) = 4 (reject this answer)
O y = 0.5 (x - 2)(x + 8) becomes y = 0.5(-2)(8) = -8 (reject)
O y = 0.5(x2 -2x - 16) becomes y = 0.5(-16) = -8 (reject)
<em>O y = 0.5 (x2 -2x + 16) becomes y = 0.5(16) = 8 This is correct; that '8' represents the y-intercept (0, 8).</em>
Answer:
-0.5
Step-by-step explanation:
The average rate of change from a to b:
[f(b) - f(a)]/(b - a)
Look in the graph for the function values at x = -3 and x = 0.
f(-3) = 2
f(0) = 0.5
average rate of change =
= [f(-3) - f(0)]/(-3 - 0)
= [2 - 0.5]/(-3)
= 1.5/(-3)
= -0.5
