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:
$920
Step-by-step explanation:
The amounts added are the arithmetic sequence ...
1, 2, 3, ... 40
The average term of this sequence is (1 +40)/2 = 20.5. The sum of the terms of this sequence is the number of terms (40) multiplied by the average term (20.5). That product is ...
40·20.5 = 820
Chu-Li will have added $820 to her bank in 40 weeks, so the total there is ...
$100 +820 = $920 . . . amount Chu-Li will have 40 weeks from now
Answer:
471,906
Step-by-step explanation:
Hakima saves 560. Divide the 336 by 3. you get 112 so you multiply that by 5
Sin(theta)=-15/17
cos(theta)=8/17
tan(theta)=-15/8
csc(theta)=-17/15
sec(theta)=17/8
cot(theta)=-8/15
Hope this helps
