Let the two numbers be x and y.
The sum is 45, therefore
x + y = 45 (1)
The difference is 5, therefore
x - y = 5 (2)
Add equations (1) and (2).
x + y + (x - y) = 45 + 5
2x = 50
x = 25
From (1), obtain
25 + y = 45
y = 45 - 25 = 20
Answer: 20 and 25
Answer: Rachel spent $519
Step-by-step explanation: Add 70 to 499 and you get 519
The answer would be 8 cubed, or 512 feet. just multiply the side by the width by the height and you have your answer.
The zeros of a quadratic equation are equal to the x-intercepts of its graph. In other words, you must find the x-value that causes the expression to equal zero. Start by adding 4 to both sides of the equation:
X² - 5x + 4 = 0
Factor the equation:
(x - 1)(x - 4) = 0
Now calculate each piece separately, starting with the first one:
x - 1 = 0
Add 1 to both sides of the equation:
x = 1
We have proven that x = 1. Now calculate the second piece:
x - 4 = 0
Add 4 to both sides of the equation:
x = 4
We have proven that x = 4. Consequently, we have proven that (x = 1) and (x = 4) are the two zeros of this quadratic equation.
I hope this helps!