According to your text first equation is
y = 3x+2
second equation is
y = Ix-1I + 1
Definition of our absolute value Ix-1I is
1) we take x-1 with condition x-1≥0 => x≥1
2) we take -(x-1) = -x+1 with x<1
Let's form the first system with condition x≥1
y= 3x+2 and y=x-1+1=> y=x
If the left sides of the equations are equal, than the right sides are equal too
3x+2=x => 3x-x=-2 => 2x=-2 => x=-1
This solution we can't accept because it does not meet the condition
x≥1
Lets's form the second system with condition x<1
y=3x+2 and y= -x+1+1 =. y = -x+2
In the same way as previous the right sides are equal =>
3x+2=-x+2 => 3x+x = +2-2 => 4x=0 => x=0
We accept this solution bacause its meet with condition x<1
When we replace this solution in equation y=3x+2 we got
y=3*0+2=2 Only one solution is (x,y) = (0,2)
Good luck !!!!!
Hi there!
Inequality:
25 - 0.75x <= 13
Since x is the amount of MP3 downloads he can buy and each CD costs 0.75 dollars, and since the total price spent needs to be less than 13 dollars and the total amount of money he has is 25 dollars, this is the answer.
Hope this helps!
Answer:
The area of the rectangle is 48cm2
Answer:
h(x) = -x² + 11 x + 2
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the functions are
f(x) = 2 x² - 5x -3
g(x) = x² + 6x -1
h(x) = g(x) - f(x)
= x² + 6x -1 - (2 x² - 5x -3)
= - x² + 6 x +5x -1+3
= -x² + 11 x + 2
h(x) = -x² + 11 x + 2
<u><em>Final answer:-</em></u>
h(x) = -x² + 11 x + 2
