Answer:
Let a and b integers and suppose that are even numbers. Then, exist integers k and m such that 
and 
.
Then,
Since, k and m are integers then n=k+m is an integer. Then, since a + b is of the form 2 by an integer n, then a + b is an even number.
Answer:
y = 58 ( 1-0.07)^8 so y = 32.46
Step-by-step explanation:
Answer:
Sum = -5.
Product = -2.5.
Step-by-step explanation:
For the general form ax^2 + bx + c = 0, the sum of the roots = - b/a and the product of the roots = c/a.
We have 2x^2 +10x - 5 = 0 so and the sum = -10/2 = -5 and the product = -5/2 = -2.5.
Answer:
Each dimension increased by 3 ft.
Step-by-step explanation:
Area of the original rectangle = 4 * 6 = 24 square feet
Increased dimension = x ft
New length = 6 + x
New width = 4 +x
New area = (6 + x)(4 +x) {Use FOIL method}
= 6*4 + 6*x + x*4 + x*x
= 24 + 6x + 4x + x²
= x² + 10x + 24
New area = 24 + 39
x² + 10x + 24 = 63
x² +10x + 24 - 63 = 0
x² + 10x - 39 = 0
x² + 13x - 3x - 3*13 = 0
x (x + 13) - 3(x + 13) = 0
(x + 13)(x -3) = 0 {Ignore x + 13, as it gives negative value}
x - 3 = 0
x = 3
Answer:
(-3, -4)
Step-by-step explanation:
(-5, -5)
2 units right
(-3, -5)
1 unit up
(-3, -4)
just go backwards
