Answer:
the range of this function is [-7, 2) (Answer A)
Step-by-step explanation:
The "range" of this function is the list of all values that the function can take on according to the rule shown in the graph. The smallest such value (the smallest y-value) is -7, obtained when x = -2. The largest is just less than 2; we know this because there is an empty circle at (1, 2) instead of a shaded circle.
Thus, the range of this function is [-7, 2)
Answer:
CB = sqrt62
Step-by-step explanation:
The pythagorean theorem will help with this! First take triangle ACD, AD^2 + CD^2 = AC^2. Plug in, AD^2 + 16 = 25. AD^2 = 9. AD = 3. I'm not exactly sure how to find DB, but I can assume it's double of AD< so 6. We know CD is 4, so 4^2 + 6^2 = CB^2. 16 + 36 = CB^2. CB = sqrt62
Sorry if this isn't exactly right, there's no exact way to find DB.
Answer:
9xy|xy|
Step-by-step explanation:
25xy*V81x^2y^2/V625=25xy*9|xy|/25=9xy|xy|
Answer:
- 40 ml of water must be added.
Step-by-step explanation:
Initial volume of mixture is 100 ml with oil to water ratio of 1 : 4.
First, let's find the volume of each component.
If the oil is x then water is 4x according to ratio and their sum is 100 ml:
- x + 4x = 100
- 5x = 100
- x = 20
So, we have 20 ml of oil and 80 ml of water.
Now, let's added volume of oil be y. Then we have the ratio:
- (20 + y)/80 = 1/2
- 20 + y = 40
- y = 20
So, we have 40 ml of oil and 80 ml of water.
Lastly, let's added water be z. Then we have the ratio:
- 40/(80 + z) = 1/3
- 80 + z = 120
- z = 40
We must add 40 ml of water.