Answer:
f(x) = 0 on x= -1 and x = -2
Step-by-step explanation:
Given function is:
![f(x) = x^2+3x+2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%2B3x%2B2)
In order to find the value of x on which the function will have value zero we have to factorize the function and find zeroes of the function. The method used will be factorization of polynomial as the function is in polynomial form.
So,
![x^2+3x+2\\=x^2+2x+x+2\\=x(x+2)+1(x+2)\\=(x+1)(x+2)](https://tex.z-dn.net/?f=x%5E2%2B3x%2B2%5C%5C%3Dx%5E2%2B2x%2Bx%2B2%5C%5C%3Dx%28x%2B2%29%2B1%28x%2B2%29%5C%5C%3D%28x%2B1%29%28x%2B2%29)
To find the zeroes, putting the function = 0
![f(x) = 0\\(x+1)(x+2) = 0\\x+1 = 0\\x = -1\\x+2 = 0\\x= -2](https://tex.z-dn.net/?f=f%28x%29%20%3D%200%5C%5C%28x%2B1%29%28x%2B2%29%20%3D%200%5C%5Cx%2B1%20%3D%200%5C%5Cx%20%3D%20-1%5C%5Cx%2B2%20%3D%200%5C%5Cx%3D%20-2)
Hence,
f(x) = 0 on x= -1 and x = -2
You can write both numbers as fractions:
![6.3=\dfrac{63}{10},\quad 0.9=\dfrac{9}{10}](https://tex.z-dn.net/?f=6.3%3D%5Cdfrac%7B63%7D%7B10%7D%2C%5Cquad%200.9%3D%5Cdfrac%7B9%7D%7B10%7D)
Dividing by a fraction is the same as multiplying by its inverse, so we have
![\dfrac{63}{10}\div \dfrac{9}{10}=\dfrac{63}{10}\cdot\dfrac{10}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Cdiv%20%5Cdfrac%7B9%7D%7B10%7D%3D%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D)
We can cross-simplify the 10's and we have
![\dfrac{63}{10}\cdot\dfrac{10}{9}=\dfrac{63}{9}=7](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D%3D%5Cdfrac%7B63%7D%7B9%7D%3D7)
First thing to know so that we can determine the amount you will pay is to understand the other cost made on the jeans. It is said that it is on sale for 25% this means that this certain amount should be subtracted. Another cost is the tax wherein you have to add this amount. We calculate as follows:
Cost = 26.49 - 26.49x.25 + 26.49x.0475 = 21.13
Answer:
The number of cans of primer purchased was 4
Step-by-step explanation:
Let
x ----> the number of cans of premium paint purchased
y ---> the number of cans of primer purchased
we know that
A painter purchased a total of 16 cans of premium paint and primer
so
-----> equation A
The painter spent a total of $475.84
so
----> equation B
Solve the system of equations by graphing
The solution is the intersection point both graphs
The solution is the point (12,4)
see the attached figure
therefore
The number of cans of primer purchased was 4
Answer: 250
Step-by-step explanation: 125*2 = 250