Answer:
f(x) = -8(4)x
Step-by-step explanation:
The reflection of the point (x,y) across the x-axis is the point (x,-y).
Having said this, to reflect the function y=g(x) = 8(4x) over the x-axis, we just need to evaluate the equation in the point: (x,-y).
y = 8(4x) ⇒ -y = 8(4x) ⇒ y = -8(4x)
Then f(x) = -8(4x)
Attached you will find the graph of g(x) (blue) and f(x) (red),
Answer:
5(m + 5) (m - 8)
Step-by-step explanation:
5m2- 15m- 200
Start by pulling 5 out.
5(m^2 - 3m - 40)
We consider all factors of 40
1 40
2 20
4 10
5 8
Based on the middle term we know that 5 and 8 are our best option.
5(m 5) (m 8)
We know the signs have to be one + and one - because a - * - = + and + * + = +
Since 5 - 8 would give us -3 we know that our answer is
5(m + 5) (m - 8)
Answer:
Equal to each other
Step-by-step explanation:
I hope that helped!
Answer:
x = -2, 1/2
Step-by-step explanation:
Step 1: Isolate everything to 1 side
2x² + 3x - 2 = 0
Step 2: Factor
(2x - 1)(x + 2) = 0
Step 3: Find roots
2x - 1 = 0
2x = 1
x = 1/2
x + 2 = 0
x = -2
x = -2
y = 1
let's multiply second equation by 4 to get a common coefficient of y variable.
16x-8y=-40
add the equations
3×+8y=2
16x-8y=-40
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3x+16x = -38
19x = -38
x = -2
substitute x
3×-2 + 8y = 2
-6 + 8y = 2
8y = 2+6
y = 1
check the answer
-6+8 = 2
-8-2= -20
