Answer:
(2x-3)(x-4)
Step-by-step explanation:
First of all, you know that a fraction is smaller than 1 if the top number is smaller than the bottom. It works both ways, meaning that if the top number is larger than the bottom number, the fraction is greater than 1.
So, for example, a fraction less than 1 can be expressed as
(x-1)/x
because the top number is smaller than the bottom number.
The reciprocal can be found by flipping the top and the bottom, so the reciprocal is
x/(x-1)
x is always greater than x-1, so in the reciprocal, the top number will be larger than the bottom number. That means it will always be greater than 1.
Hope this helps!
(Sorry if this is confusing)
Answer:
78 pounds
Step-by-step explanation:
Let's say Yolanda makes a pounds of Type A coffee and b pounds of Type B coffee. Since the total number of pounds is 130, we can write the equation:
a + b = 130
We know the cost of Type A coffee is $5.20/lb and the cost of Type B coffee is $4.05/lb, so since the total cost is $586.30, we can write:
5.20a + 4.05b = 586.30
We can now solve the system of equations:
a + b = 130
5.20a + 4.05b = 586.30
Manipulate the first equation by subtracting b from both sides:
a + b = 130
a = 130 - b
Substitute 130 - b for a in the second equation:
5.20a + 4.05b = 586.30
5.20 * (130 - b) + 4.05b = 586.30
676 - 5.20b + 4.05b = 586.30
Move the terms with b to one side:
1.15b = 89.70
b = 78
Thus, Yolanda used 78 pounds of Type B coffee.
<em>~ an aesthetics lover</em>
Answer:
Step-by-step explanation:
We have the Y-Intercept and the X-Intercept
The Y-Intercept implies that the X variable is set to zero and the X-Intercept implies that the Y variable is set to zero when solving equations of a line.
