Yes, because figure B can be obtained from figure A by a series of translations
The answers to the questions
Answer:
(6,1)
Step-by-step explanation:
If you plug these numbers in for x and y, the equation works.
Since the expressions for f(x) and g(x) are already given, f(g(2)) means to substitute the value of 2 to the expression of g(x), then further substituting the obtained value of g(2) into the expression of f(x). This is shown below:
f(x) = x + 8
g(x) = x^2 - 6x - 7
f(g(x) = x^2 - 6x - 7 + 8
f(g(2)) = 2^2 - 6(2) + 1
f(g(2)) = 4 - 12 + 1
f(g(2)) = -7
Therefore, the correct answer is -7.
Answer:
Type A coffee in lbs = 97 lbs
Step-by-step explanation:
Type a = 4.55/lbs = x
type b = 5.70/lbs = y
Total in lbs = 147lbs
total in sales = 726.50
First,
x + y = 147 lbs -------------------equ 1
4.55x + 5.70y = lbs ------------ equ 2
<em>Multiply equ 1 by 4.55</em>
4.55x + 4.55y = 668.85 -------------equ 3
4.55x + 5.70y = 726.50 ------------equ 4
<em>Subtracting equ 3 from equ 4</em>
1.15y = 57.65
y = 50
<em>Substituting y = 50 into equ 1</em>
x + 50 = 147
x = 97
