Answer:
one: 9
Two: D
Step-by-step explanation:
One
The symbol used is x≥8 so 8 is included in the function part. That would mean that F(x) = 9
Two
The value you need to use is -4x + 3. That's because -2≤x and the symbol ≤ makes - 2 inclusive.
-4(-2) + 3 = 8 + 3 = 11
3a
The function is decreasing over -4x + 3
It goes from 11 to -29 roughly. That means it's going from a positive to negative number. Definitely decreasing
3b
The function is a constant when x≥8. The value of the function is 9 no matter what x is.
3c
The function is increasing from - 2x to 8 which is going from -9 to 11
You said that P = I · R · T
Divide each side by I · R : P / (I·R) = T
You should use a T distribution to find the critical T value based on the level of confidence. The confidence level is often given to you directly. If not, then look for the significance level alpha and compute C = 1-alpha to get the confidence level. For instance, alpha = 0.05 means C = 1-0.05 = 0.95 = 95% confidence
Use either a table or a calculator to find the critical T value. When you find the critical value, assign it to the variable t.
Next, you'll compute the differences of each pair of values. Form a new column to keep everything organized. Sum everything in this new column to get the sum of the differences, which then you'll divide that by the sample size n to get the mean of the differences. Call this dbar (combination of d and xbar)
After that, you'll need the standard deviation of the differences. I recommend using a calculator to quickly find this. A spreadsheet program is also handy as well. Let sd be the standard deviation of the differences
The confidence interval is in the form (L, U)
L = lower bound
L = dbar - t*sd/sqrt(n)
U = upper bound
U = dbar + t*sd/sqrt(n)
Answer:
x=2
y=1
Step-by-step explanation:
-6x+12=0
take 12 to the other side &it becomes negated then equate
-6x=-12
the negatives cancel out each other and therefore the answer is positive
x=2
4y+5=9
take 5 over to the other side &it becomes negated
4y=9-5
4y=4
y=1
