Answer:
Two consecutive integers are of the form
x and x + 1
Their product is equal to 56
x(x + 1) = 56
Solve and find the two numbers x and x + 1. The above equation may be written as follows
x2 + x - 56 = 0
Factor and solve
(x - 7)(x + 8) = 0
solutions: x = 7 , x = -8
x= - 8 is not valid since the number sought must be positive. Hence
x = 7 and x + 1 = 8 are the two consecutive numbers.
Step-by-step explanation:
Let's divide the shaded region into two areas:
area 1: x = 0 ---> x = 2
ares 2: x = 2 ---> x = 4
In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.
Area 1:

Area 2:





Therefore, the area of the shaded portion of the graph is
A = A1 + A2 = 5.34
They have the exact same value so you just divide by 1
Line k is // to line m.
Slopes of // lines are equal.
Answer: 2/3
Answer:
$81.70
Step-by-step explanation:
15.95 x 4 = 63.80
8.95 x 2 = 17.90
63.80 + 17.90