Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Answer:
75.23=10.27x
Step-by-step explanation:
x will represent how many months Luis will save and it will equal 75.23. To find the value of x, divide 10.27 on both sides and get x=7.32. That means Luis will need to earn 10.27 for 7.32 months to get Jordans.
Question 1:
For this case we have the following expression:
We have to:
Rewriting:
We take common factor "-" in the denominator:
ANswer:
Question 2:
For this case we must simplify the following expression:
We eliminate parentheses keeping in mind that:
We add similar terms:
Answer:
Answer:
the answer is (2,-6)
Step-by-step explanation:
In constructing a frequency table, first you'll need to arrange your data from lowest to highest and solve for the following: range, class width, and class size.
Range: Highest Value - Lowest Value in the data set.
= 18 - 0 = 0
Class Width: Square root of the total number of data. In the data set, we have 14 numbers. This is the number of classes.
= sqrt (14) = 3.7 or 4
Class Size: Range divided by Class Width.
=18/4 = 4.5 or 5. There should be five numbers inside each class.
The Frequency Table is below.
Eagles | Frequency
0-4 4
5-9 5
10-14 3
15-19 2