This could get complicated. Please try to follow my steps carefully:
Begin by writing the equation to be solved: <u>12E - 4 = 0</u>
Add 4 to each side of the equation: 12E = 4
Divide each side by 12: E = 4/12 = 1/3 .
Answer:
Step-by-step explanation:
(-8a - 1)- (-7a + 5) = -8a - 1 - 7a*(-1) + 5*(-1) { (-1) is disturbed to all the terms in (-7a +5)}
= -8a - 1 + 7a - 5
= -8a + 7a -1 - 5 {Combine like terms}
= -a - 6
Answer:
Bruce's function:
Felicia's function:
Bruce's tiles cover more area
Step-by-step explanation:
Functions
We need to compare the area covered by tile of both Bruce and Felicia. We are required to find the function y, the area covered by the number of tiles he used, x.
We know the tiles used by Bruce cover 1/4 of a square foot, this is written as:
To find the function for Felicia, we must use the data provided in the table
For example,
For x=9 tiles, y=1 sq ft
For x=18 tiles, y=2 sq ft
If we set
We can find the value of k
Thus
Testing the constructed function with x=18 and x=27
The function is complete and accurate.
Comparing both functions we see that Bruce's tiles cover more area because
Answer:
See below
Step-by-step explanation:
1. During which time period is Kelly's heart rate increasing? (1 point)
2. Using math, determine the exact rate of change for the increase (warm‐up). Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
Rate of change = Change in y / change in x
- (115 - 65)/(15-0) = 50/15 = 3.33
3. During which time period did Kelly's heart rate remain constant? (1 point)
4. Using math, determine the exact rate of change for this time period. Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
ROC = (115 - 115)/(35 - 15) = 0
5. During which time period did Kelly's heart rate decrease? (1 point)
6. Using math, determine the exact rate of change for the decrease (cool down). Explain how you got your answer. (3 points; 1 point for answering the question, 2 points for explaining your answer)
-
ROC = (70 - 115)/(45 - 35) = - 45/10 = -4.5
7. Explain why your rate of change for the cool down period was a negative value. (2 points)
- Negative rate indicates drop in heart rate during cool down