Answer:
D.
Step-by-step explanation:
We can immediately eliminate choices B and C because B shows "the difference of 6 and 12", not "of 12 and 6", and C shows "the quotient of 30 and 12 minus 6." 12 and 6 are not being subtracted properly.
30 is being stated before the difference of 12 and 6, so the difference will be the divisor, and 30 will be the dividend, therefore it will go in the <u>numerator</u>.
The only option that fits this criteria is D, so that is the answer.
hope this helps :)
Answer:
The answer is
Step-by-step explanation:
Given: f(x) = 3 + 2x - x²
To compute f(3 + h) substitute x = 3 + h.
Similarly, to compute f(h) simply substitute x = h.
We are asked to compute
f(3 + h) = 3 + 2(3 + h) - {(3 + h)²}
= 3 + 6 + 2h - {9 + 6h + h²}
= 9 + 2h - 9 - 6h - h²
= - 4h - h²
Now, f(h) = 3 + 2h - h²
f(3 + h) - f(h) = -4h - h² - 3 - 2h + h²
= -6h - 3
which is the required answer.
Answer:
HYPERBOLA
Step-by-step explanation:
We have the statement,
'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.
We know that,
Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.
i.e. From the figure, we see that, the difference of the distance of P from and
is equal to constant 2a.
Thus, the term representing the given statement is HYPERBOLA.
For this case, what we must do is calculate the speed of the runner.
We have then that the speed is given by:
Where,
d: distance
t: time
Substituting values we have:
Answer:
the runners unit rate is: