Answer:
9
Step-by-step explanation:
First you need to find the area of the large rectangle then subtract the area of the smaller triangle.
area of the large triangle: (x + 10)(2x + 5), FOIL, 2x^2 + 5x + 20x + 50 =
2x^2 + 25x + 50.
area of the small rectangle: (x + 1)(x + 1), FOIL, x^2 + x + x + 1 =
x^2 + 2x + 1
Shaded region: 2x^2 + 25x + 50 -(x^2 + 2x + 1) =
x^2 + 23x + 49
The equation shown above does not show the substitution property. Instead, it shows the Addition Property of Equation where 3 is added to both of its sides. This is shown below,
4x - 3 = 7
4x - 3 + 3 = 7 + 3
4x = 10
Answer:
2.03% Rate of Population Growth.
Step-by-step explanation:
According to the Question,
Given, In 2006 the population was 1148 and in 2014 the population was 1348.
2006⇒2014 (8 Years)
So,
(1 + x/100) = 1.0202
x/100 = 0.020276
x = 2.03% Rate of Population Growth
Answer:
The point (0, 0) in the graph of f(x) corresponds to the point (4, -7) in the graph of g(x)
Step-by-step explanation:
Notice that when we start with the function , and then transform it into the function:
what we have done is to translate the graph of the function horizontally 4 units to the right (via subtracting 4 from the variable x), and 7 units vertically down (via subtracting 7 to the full functional expression).
Therefore, the point (0, 0) in the first function, will now appeared translated 4 units to the right (from x = 0 to x = 4) and 7 units down (from y = 0 to y = -7).
then the point (0, 0) after the translation becomes: (4, -7)