Hi there! The answer is A.

To get a proper idea of the type of function this formula represents we work out the parenthesis.
Working out the parenthesis can for instance be done using rainbow technique.

We can now see sinilarities between this function an the general function of a line in slope intercept form

The function t therefore describes a line with slope 2 and y-intercept 4. Therefore the answer is A.
Step-by-step explanation:
By Law of Indices, a^m / a^n = a^(m-n).
Therefore a² / a⁸ = a^(-6).
x = -6.
Step-by-step explanation:
So first of all we plug in 1 into f(x) and the result of that into g(x).
f(1)=(1)^2-3(1)+5
=1-3+5
=3
g(3)=(3)(22)-2(3)
=66-6
=60
Answer:
The confidence interval is from 69.82 o 82.18
Step-by-step explanation:
Using this formula X ± Z (s/√n)
Where
X = 76 --------------------------Mean
S = Standard Deviation
If Variance = 144
S = √144
S = 12
n = 25 ----------------------------------Number of observation
Z = 2.576 ------------------------------The chosen Z-value from the confidence table below
Confidence Interval || Z
80%. || 1.282
85% || 1.440
90%. || 1.645
95%. || 1.960
99%. || 2.576
99.5%. || 2.807
99.9%. || 3.291
Substituting these values in the formula
Confidence Interval (CI) = 76 ± 2.576 (12/√25)
CI = 76 ± 2.576(12/5)
CI = 76 ± 2.576(2.4)
CI = 76 ± 6.1824
CI = 76 + 6.1824 ~ 76 - 6.1824
CI = 82.1824 ~ 69.8176
CI = 82.18 ~ 69.82
In other words the confidence interval is from 69.8176 to 82.1824