<h3>
Answer: g(x) = 5x+9, second choice</h3>
Explanation:
When we reflect over the vertical y axis, every negative x value becomes positive and vice versa. So we effectively replace x with -x like so
f(x) = -5x+9
f(-x) = -5(-x)+9 ... replace every x with -x
f(-x) = 5x+9
g(x) = 5x+9
A point like (1,4) on f(x) will reflect over to (-1,4) on g(x). If we apply this to every point on f(x), then all of f(x) will reflect to g(x).
They each have $42 because 7 times 6 is 42 and combined they have $84 because 42 + 42=84.
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
Isolate the variable y
subtract x both sides
Divide by 2 both sides
The solution of the inequality is the shaded area above the dashed line
The slope of the dashed line is negative
The y-intercept of the dashed line is (0,2)
The x-intercept of the dashed line is (4,0)
therefore
The graph in the attached figure
Answer:
x = 2
Step-by-step explanation:
7x−5=2x+5
step 1 add 5 to each side
-5 + 5 = cancels out
5 + 5 = 10
we now have 7x = 2x + 10
step 2 subtract 2x from each side
2x - 2x cancels out
7x - 2x = 5x
we now have 10 = 5x
step 3 divide each side by 5
5x / 5 = x
10 / 5 = 2
we' re left with x = 2
Answer:
3 : 5
Step-by-step explanation:
Since there are 3 boys, the number of girls is 5.
Causing the ratio to be 3 : 5
