Answer:
The product is :
Step-by-step explanation:
First term given to us is =
Second term given to us =
We have to find product for term 1 and term 2
Which means that we have to find :
Calculating the product of fraction is pretty simple. To calculate the product of any two fractions. We have to multiple the numerator of 1st term with numerator of 2nd which serves as the the numerator of the product. Similarly we have to multiply denominator with denominator.
Reduce the fraction
Answer:
The points of intersections are: <u>(1.5 , 1.25) and (4 , 0)</u>
Step-by-step explanation:
Given:
y = x² - 6x + 8 ⇒ (1)
2y + x = 4 ⇒ (2)
And required the solution of the system of equations.
By graphing the system of equations, the points of intersections are:
<u>(1.5 , 1.25) and (4 , 0)</u>
See the attached figure.
<u>Another solution:</u>
By substitution of y from the second equation at the first equation.
From (1) ⇒ y = 0.5 (4-x)
At (2): and solve for x
0.5 ( 4 - x ) = x² - 6x + 8 ⇒ multiply both sides by 2
4 - x = 2x² - 12x + 16
2x² - 12x + 16 + x - 4 = 0
2x² - 11x + 12 = 0
The general solution of the quadratic equation:
so, a = 2 , b = -11 and c = 12
∴
∴ at x = 4 ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0
And at x = 1.5 ⇒ y = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25
<u>So, the solution are the points (4,0) and (1.5 , 1.25)</u>
