Answer:
Production has increased 20/day
Step-by-step explanation:
In the first scenario production is 500/day and productivity 25 set/hour. After the changes, production is 600/day and 25 set/hour.
So productivity remains the same, nevertheless, as there are more productive hours per day, production raises, in this case the can be calculated as (New Production-Old Production)/Old Production=(600-500)/500=100/500=0.2=20%.
As productivity remains the same, you do not ge more sets/shift, as shifts are shorter (8 instead of hours, so you get 200/shift instead of 250/shift). The rest of the option is false as productivity remains constant
X= # of people who attended the movie
Numerator= # of people under 30
Denominator= total # of people
60/100 = 1200/x
Then we cross multiply
60x = 120000
x = 2,000
Final answer= 2,000 people attended the theater
Answer:
0.2 = 1/5
Step-by-step explanation:
Convert 0.2 into a fraction.
You get 2/10.
Now simplify that number by dividing both the numerator and the denominator by 2.
You get 1/5.
Since 1/5 = 1/5, 0.2 and 1/5 are equivalent.

Finding the extreme point :

Now,
f''( x ) at x = 1/3 and -1 is :

Therefore, it is maximum at x = -1 and minimum at x = 1/3 .
Hence, this is the required solution.
Answer:
- Equation 1 has exactly one solution.
- Equation 2 has infinitely many solutions.
- Equation 3 has no solution.
Step-by-step explanation:
We are given three equations to solve. First, let's solve the equations for x.
<u>Equation 1</u>
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Therefore, we determined that for the first equation, x = -5. We can check our solution by substituting it back into the original equation.

Since we got a true statement, there are no other values of x for which we get a true statement. Let's test this with the opposite value: positive 5.

Therefore, for Equation 1, there is exactly one solution.
<u>Equation 2</u>
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We get a true statement by solving for x (which ends up canceling out of the equation entirely). Therefore, we can check <u>any value</u> in place of x to see if we get a true statement. For this instance, I will use -3.

We still get a true statement, so Equation 2 has infinitely many solutions.
<u>Equation 3</u>
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We get a false statement. Therefore, Equation 3 has no solution.