Answer:
1966600 items must be produced in other to profit $3933
Step-by-step explanation:
from the equation y = 0.002x -0.20
where y is the profit in dollars
and x is the number of items
then to get the number of item to be produced in other to profit $3933 ?
will be by substituting $3933 for y in the equation and solving for x,
3933 = 0.002x - 0.20
Firstly you will add 0.20 to both sides, which will be
3933 + 0.20 = 0.002x - 0.20 + 0.20
3933.20 = 0.002x
then we will divide both sides by 0.002
3933.20 / 0.002 = 0.002x / 0.002
therefore, x = 1966600
The solution to the equation is x < 1.25
4. 6/8, 5. 3 5/8, 6. 7 7/8, 7. 72 months and 2,190 days
Answer:
![f(x)=3x^3+x^2+3x+1](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bx%5E2%2B3x%2B1)
Step-by-step explanation:
If a real number
is a zero of polynomial function, then
![x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}](https://tex.z-dn.net/?f=x-%5Cleft%28-%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3Dx%2B%5Cdfrac%7B1%7D%7B3%7D)
is the factor of this function.
If a complex number
is a xero of the polynomial function, then the complex number
is also a zero of this function and
![x-(-i)=x+i\ \text{ and }\ x-i](https://tex.z-dn.net/?f=x-%28-i%29%3Dx%2Bi%5C%20%5Ctext%7B%20and%20%7D%5C%20x-i)
are two factors of this function.
So, the function of least degree is
![f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)](https://tex.z-dn.net/?f=f%28x%29%3D%5Cleft%28x%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%28x%2Bi%29%28x-i%29%3D%5Cleft%28x%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%28x%5E2-i%5E2%29%3D%5C%5C%20%5C%5C%20%3D%5Cleft%28x%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%28x%5E2%2B1%29%3D%5Cdfrac%7B1%7D%7B3%7D%283x%2B1%29%28x%5E2%2B1%29%3D%5Cdfrac%7B1%7D%7B3%7D%283x%5E3%2Bx%5E2%2B3x%2B1%29)
If the polynomial function must be with integer coefficients, then it has a form
![f(x)=3x^3+x^2+3x+1](https://tex.z-dn.net/?f=f%28x%29%3D3x%5E3%2Bx%5E2%2B3x%2B1)
Answer: 23 in
Step-by-Step Explanation:
Height (h) = 18 in
Base (b) = ?
Area (A) = 207 sq. in
We know,
Area of a Triangle = 1/2 * b * h
Therefore,
1/2 * b * h = 207
1/2 * b * 18 = 207
b * 9 = 207
9b = 207
b = 207/9
=> b = 23
Base (b) = 23 in