Answer:
f(4) = -15
Step-by-step explanation:
Since we have an average rate of change, we can deduce that a line, with a gradient of -6 joins the points on the function, f, when the parameter is 1 and when it is 4, i.e. the line passes through the point (1, 3) and has a gradient of -6;
From this, we know that for every value of x we increase the, value y will decrease by 6;
So if we increase 1 by 3, to get to 4, the y value must decrease by 18 (3×6);
Written mathematically, it would look like:
f(4) = 3 + (4 - 1)(-6)
= 3 - 18
= -15
(4, -15)
and with that template in mind,
notice from a parent function of f(x) = x³,
a derived function with f(x+5) = (x + 5)³
has a C component of 5, C = 5, which means is the as the parent, just shifted to the left by 5 units.
Hi there!
The formula for the volume of a sphere is V = 4/3(pi)(r^3). Using this formula, we can plug in what we know and solve.
WORK:
V = 4/3(pi)(10^3)
V = 4/3(1000pi)
V = 4000pi/3 or 1333.3 pi
V also = 4188.8
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
85
Step-by-step explanation:
x+2x+5=125
3x+5=125
3x=120
x=40 in the morning
85 in the afternoon
In its normal way, For example: 214, Write it in the way it is Usually written.
