Answer:
only (-4,0) is a reasonable solution.
Step-by-step explanation:
In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.
y = -x - 4
y = x² + x - 12
For (-4, 0):
0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)
0 = (-4)² - 4 - 12 -> 0 = 16 - 16 -> 0 = 0 (valid)
For (-3, -1):
-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)
-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)
For (2, -6):
2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)
2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)
Therefore only (-4,0) is a reasonable solution.
Total calories = 56
Amount of calories in plum = 32
Remaining Calories = 56 - 32 = 24
Amount of calories with one strawberry = 4
No. of strawberries he ate = 24/4 = 6 strawberries
I hope it is helpful:D
Answer:
Standard error = 0.34
t-statistic = 11.18
Step-by-step explanation:
Given Data:
Mean difference d = 3.8
Standard deviation S.D = 1.36
Number of people = 16
The appropriate test are:
1. Standard error
2. T- statistic
1. Calculating the standard error using the formula;
Standard error = S.D/√n
= 1.36/√16
= 1.36/4
= 0.34
2. Calculating the t-statistic using the formula;
t-statistic = d/(S.D/√n)
= 3.8/(1.36/√16)
= 3.8/(1.36/4)
= 3.8/0.34
= 11.18
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
we can write "m more than t" like this:
