Answer:
its increasing
Step-by-step explanation:
Step-by-step explanation:
replaced f(x) with 5
5= x^2 +4
5 -4 = x^2
1 = x^2
take the square root on both sides
- 1 or 1 = x
Answer:
A: cost = 10+x; customers = 16-2x
B: -2x² -4x +160 ≥ 130
Step-by-step explanation:
In these price and revenue optimization problems, the relation between price and sales is given in the problem statement. After that is translated to math terms, the revenue as the product of price and sales can be determined.
<h3>Part A</h3>
The variable x is defined as the number of $1 increases from a price of $10. That means ...
Cost = 10 +x
For each $1 increase, the number of customers decreases by 2 from a starting value of 16:
Customers = 16 -2x
__
<h3>Part B</h3>
The problem statement tells you the revenue (per hour) is the product of cost and number of customers. The owner wants this to be at least 130:
(Cost)(Customers) ≥ 130
(10 +x)(16 -2x) ≥ 130
160 -20x +16x -2x² ≥ 130 . . . . eliminate parentheses
-2x² -4x +160 ≥ 130 . . . . . . . . . put in required standard form
_____
<em>Additional comment</em>
The attached graph shows the solution to this quadratic inequality is ...
-5 ≤ x ≤ 3
and that revenue can be increased by $2 per hour by decreasing cost $1 (x=-1).
Answer:
Step-by-step explanation:
Navy
1/4 of 100 is twenty five <u>so we know the percent is 25%</u>
Writing a percent as a decimal is easy just put a period in front of the number <u>so the decimal is 0.25</u>
<u>The fraction is right there</u>
<u />
Brown
<u>Percent-35%</u>
<u>decimal- figure it out</u>
<u>Fraction- 7/20</u>
Black
<u>Percent- duh</u>
Decimal-0.2
<u>Fraction-1/5</u>
<u />
Other
<u>Percent-20%</u>
<u>Decimal- 0.2</u>
<u>Fraction- 1/5</u>
The unit rate for the given proportional relationship is k = 15.
<h3>
</h3><h3>
How to get the unit rate?</h3>
A proportional relationship between two variables can be written as:
y = k*x
Where k is the constant of proportionality (also called the unit rate).
If we look at the graph, we can see that the line passes through the point (1, 15).
This means that when x = 1, we must have y = 15.
Replacing that in the proportional relation we get:
15 = k*1
Solving for k:
k = 15/1 = 15
So we conclude that the unit rate is 15.
If you want to learn more about proportional relations:
brainly.com/question/12242745
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