First, assign a variable that you're looking for.
Let x = the larger number
Then x - 1 = the smaller number
The sum of x and x - 2 will equal to 226.
x + x - 1 = 226
2x - 1 = 226
2x = 228
x = 114
So, the smaller number is 112 and the larger number is 114.
When given a system of equations, the "solutions" are defined where two equations intersect, or meet.
A. The point where the lines p(x) and g(x) meet is (3, -1), and thus this is considered the solution set.
B. Because there are three lines in total, g(x) is able to intersect both lines one time, and so it has two pairs of solutions.
The first is (3, -1), which has already been established with p(x).
The second is (0, 5), and this is where it intersects with f(x).
C. The solution to f(x) = g(x) is 0, as this is the only x value where both equations are equal.
Hope my answer helped!
Answer:
There were 12 + 28 = 40 pieces of fruit in the basket.
Step-by-step explanation:
Suppose there were x oranges and y grapefruit.
Then we have
1 /3 x = 4
x = 4*3 = 12.
1/4 y = 7
y = 7*4 = 28.
Answer:
x² - x + c
Step-by-step explanation:
Using the power rule for integration
∫ a
dx = 
∫ 
dx ( divide terms on numerator by 4 )
= ∫ (2x - 1) dx
= 
- x + c
= x² - x + c ( c is the constant of integration )
Answer and explanation:
25 x 3 = 75
75 x 2 = 150
I found the product of the first two numbers, then multiplied the third.
The answer is 150. Hope this helps!
