Answer:
1. x=17.5
2. x=77
Step-by-step explanation:
1. -x=-3x+35
=2x=35
x=17.5
2. -x/7+8=-3
=-x/7=-11
=-x=-77
x=77
The extreme values of the function f(x) = x - 4sqrt(x) occur at the values of x for which f'(x) = 0
f'(x) = 1 - 2/sqrt(x) = 0
sqrt(x) - 2 = 0
sqrt(x) = 2
x = 4
To check for minimum or maximum,
f''(x) = 1/(sqrt(x))^3 = 1/(sqrt(4))^3 = 1/(2^3) = 1/8 => the point is a minimum.
Therefore, the minimum value = f(4) = 4 - 4sqrt(4) = 4 - 4(2) = 4 - 8 = -4 and occurs at x = 4.
(3,7) becomes (3,-7) when reflected across the x axis.
Answer:
for the radius, the cloest i could get was 6.77. therefore the diametre would be double meaning its would be 13.54
so sorry if this is incorrect!
3% interest on 5,000 = 150
275 (the total amount wanted) - 150 (from initial investment)= 125
x (5%) =125
x (0.05)= 125
x/0.05)= 125/0.05
x=2500
you need to invest 2500 at 5% to get the additional 125
125 plus 150= 275