Replace F(x) with y
y=x^3-10x^2+24x
To find the roots replace y with 0.
0=x^3-10x^2-24x
Rewrite the equation as
x^3-10x^2+24x=0
Factor the left side
x(x-6)(x-4)=0
The solution is a result of
x=0, x-6=0, and x-4=0
The answer is:
x=0, 6, 4
14f + 7
“Product” means multiplication, so we can assume 14 and f are being multiplied (14f.) Add that to 7, and you have an expression! Have a great day.
Given:
and
.
To find:
The value of f(5).
Solution:
We have,

For
,




For
,




For
,




For
,




Therefore, the value of
is
.
Answer:
$114,000
Step-by-step explanation:
Use formula

where
I = interst
P = principal
r = rate
t = time
First, find the interst for 25 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 25

Now find the interest for 5 years:
I = unknown
P = $190,000
r = 0.03 (3% as decimal)
t = 5

The unpaid balance is

Answer: The total length in kilometers is 38 km
Step-by-step explanation:
17 + 2 = 19 km is 1/2 of the total length, that is,
19 = (1/2)h
(1/2)h = 19 multiply both sides by 2
h = 2*19
h = 38 km