Answer:
x=-1, x=3 e x=2i, x=-2i
Step-by-step explanation:
Solve for x over the real numbers:
x^4 - 2 x^3 + x^2 - 8 x - 12 = 0
The left hand side factors into a product with three terms:
(x - 3) (x + 1) (x^2 + 4) = 0
Split into three equations:
x - 3 = 0 or x + 1 = 0 or x^2 + 4 = 0
Add 3 to both sides:
x = 3 or x + 1 = 0 or x^2 + 4 = 0
Subtract 1 from both sides:
x = 3 or x = -1 or x^2 + 4 = 0
Subtract 4 from both sides:
x = 3 or x = -1 or x^2 = -4
x^2 = -4 has no solution since for all x on the real line, x^2 >=0 and -4<0:
Answer: |
| x = 3 or x = -1
The interest rate will be equal to 24% in 2 years.
<h3>What is compound interest?</h3>
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that:-
- Find the interest rate if $32 increased to $50 in 2 years.
The interest rate will be calculated by using the following formula:-
![A = P[1+\dfrac{r}{n}]^{nt}](https://tex.z-dn.net/?f=A%20%3D%20P%5B1%2B%5Cdfrac%7Br%7D%7Bn%7D%5D%5E%7Bnt%7D)
![50=32[1+\dfrac{r}{1}]^{2}](https://tex.z-dn.net/?f=50%3D32%5B1%2B%5Cdfrac%7Br%7D%7B1%7D%5D%5E%7B2%7D)
1.56 = ( 1 + r )²
√1.56 = ( 1 + r )
r = 1.24 - 1
r = 0.24
r = 24%
Therefore interest rate will be equal to 24% in 2 years.
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Answer:
Step-by-step explanation:
the first choice sorry if i wrong
Answer:
9
Step-by-step explanation:
bc 9x8=72 and 9 is the greatest number so the answer is 9
Answer:
y = (x - 3)²
Step-by-step explanation:
The vertex of the general equation of the parabola of the form:
y = (x - h)² + k
is at (h, k)
We are given that the vertex is at the point (3, 0)
This means, h = 3 and k = 0
Using these values in the first equation, we get:
y = (x - 3)² + 0
y = (x - 3)²
Therefore, 1st option gives the parabola with vertex at (3, 0)
