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:
a

b

Step-by-step explanation:
From the question we are told that
The population proportion is
Considering question a
The sample size is 
Generally the standard deviation of this sampling distribution is
=>
=>
The sample proportion of cans that are recycled is

=> 
Generally the probability that 300 or more will be recycled is mathematically represented as


From the z table the area under the normal curve to the left corresponding to 1.591 is

=> 
Considering question b
Generally the lower limit of sample proportion of cans that are recycled is

=> 
Generally the upper limit of sample proportion of cans that are recycled is

=> 
Generally probability that between 260 and 300 will be recycled is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to 1.136 and -3.55 is

and

So

=> 
This question asks what is half of 45.
45 divided by two equals 22.5
The car will travel 22.5 miles in .5 hours.
Ariana cannot ship all the bags in one box.
Ariana will be sending 8 bags which will weigh a total of:
= 22 ounces x 8
= 176 ounces
You need to convert this to pounds to see if it will fit in the box:
<em>1 pound = 16 ounces </em>
176 ounces in pounds is therefore:
= 176 / 16
= 11 pounds
The box can only take 10 pounds and 5 ounces which is less than the 11 pounds the bags weigh.
Ariana cannot ship all the bags in one box.
<em>Find out more at brainly.com/question/19990206.</em>