To find the x intercept of the function, we would find g(x) = 0
To do this, we would set each expression in the piecewise function to zero and solve for x. We have
For
x/3 + 2 = 0
let us multiply both sides of the equation by 3. We have
x/3 * 3 + 2 * 3 = 0 * 3
x + 6 = 0
x = - 6
- 6 is less than - 1
- 6 < - 1
It satisfies the inequality. Thus, x = - 6 is in the domain
For
4x - 2 = 0
adding 2 to both sides of the equation, we have
4x - 2 + 2 = 0 + 2
4x = 2
Dividing both sides of the equation by 4, we have
4x/4 = 2/4
x = 1/2
x = 1/2 is less than 1. It is not in the domain of this equation. Thus, there is no x interscept at x = 1/2
Therefore, the x intercept of the piecewise function is (- 6, 0)
Answer:
$24
Step-by-step explanation:
James and Sarah's lunches cost $20 each, so the total price of their meal is 20 * 2 = $40.
They tipped their server 20% of $40, so to find 20% of 40 you would multiply:
40 * 0.20 = 8
Add 8 to 40 = $48.
If they shared this lunch price of $48 equally then they each paid half of this price.
48 / 2 = 24
They each paid $24.
I'm confused, the answers are larger than the trail?
Any fraction that can be simplified to 1/4 would work. I don't have a model to shade, but I can give you some examples. 2/8, 3/12, 4/16, 5/20... I hope this helps!
The height of the pole is 6.50 meters
<h3>How to calculate the height?</h3>
To calculate the height of the pole, we will use of the following equivalent ratios.
By Pythagoras theorem, we have:
So, we have:
Hence, the height of the pole is 6.50 meters
Read more about Pythagoras' theorem at:
brainly.com/question/654982
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