2x + 2x+2 = -134
4x + 2 = -134
4x = -136 |: 4
x = -34
2x = 2 * (-34) = -68
2x + 2 = -68 + 2 = -66
This numbers are -66 and -68.
Answer:
![a) f(x)=3x^{3}-6x^{2}-15x+30](https://tex.z-dn.net/?f=a%29%20f%28x%29%3D3x%5E%7B3%7D-6x%5E%7B2%7D-15x%2B30)
Step-by-step explanation:
1) In this question we've been given "a", the leading coefficient. and two roots:
![x_{1}=\sqrt{5}\:x_{2}=2](https://tex.z-dn.net/?f=x_%7B1%7D%3D%5Csqrt%7B5%7D%5C%3Ax_%7B2%7D%3D2)
2) There's a theorem, called the Irrational Theorem Root that states:
If one root is in this form
then its conjugate
. is also a root of this polynomial.
Therefore
![x_3=-\sqrt{5}](https://tex.z-dn.net/?f=x_3%3D-%5Csqrt%7B5%7D)
3) So, applying this Theorem we can rewrite the equation, by factoring. Remembering that x is the root. Since the question wants it in this expanded form then:
![f(x)=3(x-\sqrt{5})(x+\sqrt{5})(x-2)\Rightarrow 3x^{3}-6x^{2}-15x+30](https://tex.z-dn.net/?f=f%28x%29%3D3%28x-%5Csqrt%7B5%7D%29%28x%2B%5Csqrt%7B5%7D%29%28x-2%29%5CRightarrow%203x%5E%7B3%7D-6x%5E%7B2%7D-15x%2B30)
Picture doesn’t show up!!
Answer:
the answer is C
Step-by-step explanation:
hope this helps!
The compounding equation is
![A=P(1+ \frac{r}{n}) ^{nt}](https://tex.z-dn.net/?f=A%3DP%281%2B%20%5Cfrac%7Br%7D%7Bn%7D%29%20%5E%7Bnt%7D%20%20)
. So
![6012.37 = 3725(1+ \frac{0.022}{n}) ^{22n}](https://tex.z-dn.net/?f=%206012.37%20%3D%203725%281%2B%20%5Cfrac%7B0.022%7D%7Bn%7D%29%20%5E%7B22n%7D%20)
Divide by 3725
![1.6141= (1+ \frac{0.022}{n}) ^{22n}](https://tex.z-dn.net/?f=%201.6141%3D%20%281%2B%20%5Cfrac%7B0.022%7D%7Bn%7D%29%20%5E%7B22n%7D%20)
Daily =
![(1+ \frac{0.022}{365}) ^{22*365}](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B0.022%7D%7B365%7D%29%20%5E%7B22%2A365%7D%20)
=
![(1.000060274) ^{8030}](https://tex.z-dn.net/?f=%281.000060274%29%20%5E%7B8030%7D%20)
= 1.6225
Monthly =
![(1+ \frac{0.022}{12}) ^{22*12}](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B0.022%7D%7B12%7D%29%20%5E%7B22%2A12%7D%20)
=
![(1.0018333) ^{264}](https://tex.z-dn.net/?f=%281.0018333%29%20%5E%7B264%7D%20)
= 1.6218
Quarter =
![(1+ \frac{0.022}{4}) ^{22*4}](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B0.022%7D%7B4%7D%29%20%5E%7B22%2A4%7D%20)
=
![(1.0055) ^{88}](https://tex.z-dn.net/?f=%281.0055%29%20%5E%7B88%7D%20)
= 1.6204
Yearly =
![(1+ \frac{0.022}{1}) ^{22*1}](https://tex.z-dn.net/?f=%281%2B%20%5Cfrac%7B0.022%7D%7B1%7D%29%20%5E%7B22%2A1%7D%20)
=
![(1.022) ^{22}](https://tex.z-dn.net/?f=%281.022%29%20%5E%7B22%7D%20)
= 1.6141
The answer is yearly.