Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
<u>Step-by-step explanation:</u>
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
Answer: -.6
Step-by-step explanation: Isolate t
In order to keep the equation equal, what is done to one side must be done to the other
1. You would subtract 1.5 from each side so you end up -3t = 5
2. Divide -3 from both sides, you are left with t = -.6 which is your answer
Answer:
third option
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Given
g(x) =
+ 5 ← this represents a shift up of 5 units
Thus g(x) is the graph of f(x) translated up by 5 units
Part A. For finding the quartiles, box plot would be the best to represent the range of scores of the students.
Part B. The first step is to order the data: 2 3 3 3 3 4 5 6 7 8 14. Next, you will find the median. The median is 4. So, second the quartile = 4 The median splits the remaining data into two sets. The first set is 2 3 3 3 3 and the median of this set is 3. So, first quartile = 3. The second set is 5 6 7 8 14 and the median of this set is 7. And the third quartile = 7
I did this test today i know
Answer:
1 1/2 liters of milk is required to fill the jug
Step-by-step explanation:
Gabriel used 1/3 of a liter of milk to make 2/9 of a jug of tea. How much milk is required to fill the jug?
From the above question, we know that:
2/9 jug of tea = 1/3 liter of milk
1 jug of tea = x
Cross Multiply
2/9 × x = 1 × 1/3
x = 1/3 /2/9
x = 1/3 ÷ 2/9
x = 1/3 × 9/2
x = 3/2
x= 1 1/2 liters of milk
Therefore, 1 1/2 liters of milk is required to fill the jug