Answer:
49m^4 - 25
Step-by-step explanation:
The simpler expression can simply be found by expanding
The kind of expansion we have here is the difference of two squares
(a + b)(a-b) = a^2 - b^2
Thus, we have it that;
(7m^2-5)(7m^2 + 5)
=
49m^4 - 25
Answer:
Step-by-step explanation:
Write a function whose k(x) values are 5 more than four times the principal square root of x.
So,
the principal square root of x
four times the principal square root of x
5 more than four times the principal square root of x
Thus,
Step-by-step explanation:
Explanation:
Because
(2,6) is in the function, we can plug
6 as y
and
2 as x.
From that we get
6=a(2−1)2+k
6=a+k
Same for the next point:
12=a(3−1)2+k
12=22a+k
12=4a+k
Now we have this system of equations to solve:
a+k=6
4a+k=12
Solving it leads to the conclusion that
a=2,k=4 .
Volume of a sphere = 4/3pi*r^3
diameter/2 = radius
Radius = 12/2 =6
Volume of sphere = 4/3pi*6^3 = 288pi
Step-by-step explanation:
Total cost (both cars) 3 * 104 dollars