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)
Step-by-step explanation:
The solution to this problem requires that we find other units besides the given one
1. ft/sec
2. km/h
3.m/s
1. converting to ft/sec
1 mile is 5280 ft

2. converting to km/h
1 mile is 1.60934

3. converting to m/s
1 mile is 1609.34

Answer:
x = 20
I am not sure if you wanted the answer. Sorry!
Step-by-step explanation:
Let's solve your equation step-by-step.
1/10 x + 5 = - 3x - 13 + 4x
Step 1: Simplify both sides of the equation.
1/10 x + 5 = - 3x - 13 + 4x
1/10 x + 5 = - 3x + - 13 + 4x
1/10 x + 5 = (<em>- 3x + 4x</em>) + (- 13)
1/10 x + 5 = <em>x</em> + - 13
1/10 x + 5 = x - 13
Step 2: Subtract x from both sides.
1/10 x + 5 - <em>x </em>= x - 13 - <em>x</em>
- 9/10 x + 5 = - 13
Step 3: Subtract 5 from both sides
- 9/10 x + 5 - <em>5</em> = - 13 - <em>5</em>
- 9/10 x = - 18
Step 4: Multiply both sides by 10/(- 9).
(<em>10/ - 9</em>) * (- 9/10 x) = (<em>01/ - 9</em>) * (- 18)
x = 20
Hope this helps!
wheat = $0.96 lb rye = $1.89 lb
12w + 15r = 3987 15w + 10r = 3330 r = (3330 - 15w)/10 12w + 15r = 3987 12w + 15((3330 - 15w)/10) = 3987 12w + (15/10)(3330 - 15w) = 3987 12w + 4995 - 22.5w = 3987 10.5w = 1008 w = 96 cents r = 189 cents.
Hope this helps mate