Aliana will use 3.75 inches to make her necklace
Answer:
x = -1
Step-by-step explanation:
- 10 + x + 4 - 5 = 7x - 5
-11 + x = 7x - 5
-6 + x = 7x
-6 = 6x
x = -1
Answer:
![3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})](https://tex.z-dn.net/?f=3x%5E2-10x%2B8%3D%28x-x_1%29%28x-x_2%29%3D%28x-2%29%28x-%5Cfrac%7B4%7D%7B3%7D%29)
Step-by-step explanation:
The general form of a quadratic polynomial is given by:
(1)
You have the following polynomial:
(2)
In order to complete the factorization you can use the quadratic formula, to obtain the roost of the polynomial. The quadratic formula is given by:
(3)
By comparing the equation (1) with the equation (2) you obtain:
a = 3
b = -10
c = 8
Then, you replace these values in the equation (3):
![x_{1,2}=\frac{-(-10)\pm \sqrt{(-10)^2-4(3)(8)}}{2(3)}\\\\x_{1,2}=\frac{10\pm2}{6}\\\\x_1=2\\\\x_2=\frac{4}{3}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cfrac%7B-%28-10%29%5Cpm%20%5Csqrt%7B%28-10%29%5E2-4%283%29%288%29%7D%7D%7B2%283%29%7D%5C%5C%5C%5Cx_%7B1%2C2%7D%3D%5Cfrac%7B10%5Cpm2%7D%7B6%7D%5C%5C%5C%5Cx_1%3D2%5C%5C%5C%5Cx_2%3D%5Cfrac%7B4%7D%7B3%7D)
Then, the factorization of the polynomial is:
![3x^2-10x+8=(x-x_1)(x-x_2)=(x-2)(x-\frac{4}{3})](https://tex.z-dn.net/?f=3x%5E2-10x%2B8%3D%28x-x_1%29%28x-x_2%29%3D%28x-2%29%28x-%5Cfrac%7B4%7D%7B3%7D%29)
The answer is C. All you need to do is find the Y values that correspond with the X values. Have a great day
Given that the par value of the bond is $1000 and the quoted price is $102.1, then the price of the bond will be:
Price=(quoted price)
Price=102.1
Price=$102.1
Answer: $102.1