Answer: x = {-3, -1, 1, 7}
<u>Step-by-step explanation:</u>
f(x) = x⁴ - 4x³ - 22x² + 4x + 21
possible roots are: +/- 1, 3, 7, 21
Let's try x = 1
1 | 1 -4 -22 4 21
<u>| ↓ 1 -3 -25 -21 </u>
1 -3 -25 -21 0 <em>remainder is 0 so (x - 1) is a factor</em>
(x - 1)(x³ - 3x² - 25x - 21)
Next, let's try x = -1
-1 | 1 -3 -25 -21
<u>| ↓ -1 4 21 </u>
1 -4 -21 0 <em>remainder is 0 so (x + 1) is a factor</em>
(x - 1)(x + 1)(x² - 4x - 21)
Then, factor the third polynomial
(x - 1)(x + 1)(x + 3)(x - 7)
Now, set each factor equal to zero and solve each one.
(x - 1) = 0 ⇒ x = 1
(x + 1) = 0 ⇒ x = -1
(x + 3) = 0 ⇒ x = -3
(x - 7) = 0 ⇒ x = 7
You could either divide the 6 on each side and have 4=-3+x, so x=7, or you could distribute the 6 into the expression, so 24=-18+6x. Then 42=6x, and x=7.
Answer:
So, our rate of exponential growth is is 6.93 %
Step-by-step explanation:
The formula for exponential growth rate is
A = P .... (1
Here
P = is the initial investment
A = amount after certain time
As we are given after 10 years (t = 10) the investment doubles
so plugging A=2P and t= 10 into equation (1)
2P = P
cancelling P on both sides
2 =
taking natural log on both sides
ln (2) = ln (
ln(2) = 10r(lne)
as ln(e) = 1
ln (2) = 10r
r =
solving the natural log
r = 0.0693
or
r =6.93 %
So, our rate is 6.93 %
Answer:
Answer is A on Ed.
Step-by-step explanation:
The expression does not simplify to –1.
The answer is C : -10 + -5