Answer:
Slope: 3/4x, Y-int: -5
Step-by-step explanation:
Answer:
(71.28, 78.72)
Step-by-step explanation:
We have the following information from the statement:
mean (m) = 75
sample standard deviation (sd) = 5
Sample size (n) = 13
Significance level (alpha) = 1 - 0.98 = 0.02
Degrees of freedom for t-d (df) = n - 1 = 13 - 1 = 12
The critical value would be:
t (alpha / 2) / df = T (0.01) / 12 = 2,681 (this for the table)
Margin of error equals:
E = t (alpha / 2) / df * sd / n ^ (1/2), replacing:
E = 2,681 * 5/13 ^ (1/2)
E = 3.72
Therefore, the interval of 98% confidence interval would be:
75 + 3.72 = 78.72
75 - 3.72 = 71.28
(71.28, 78.72)
Answer:
f[g(3)] = 100
g[f(5)] = 138
g{f[g(-4)]} = -982
Step-by-step explanation:
f(x) = 4x - 3
g(x) = 8x + 2
a. f[g(3)]
First find g(3) by putting x = 3 in g(x) function
g(3) = 8(3) + 2 = 24 +2 = 26
now put this g(3) = 26 as x in f(x)
f(g(3)) = f(26) = 4(26) - 4 = 104 - 4 = 100
b. g[f(5)]
First lets find f(5)
f(x) = 4x - 3
put x = 5 above
f(5) = 4(5) - 3 = 20 - 3 = 17
put this f(5) = 17 as x in g(x)
g(f(5)) = g(17) = 8(17) + 2 = 138
c.g{f[g(-4)]}
First lets solve the inner most function
g(-4) = 8(-4) +2 = -30
put g(-4) = -30 in f(x) to find f(g(-4))
f(g(-4)) = f(-30) = 4(-30) - 3 = -123
put f(g(-4)) = -123 as x in g(x) to find our complete result
g{f[g(-4)]} = g(-123) = 8(-123) + 2 = -982
The vertex form of a quadratic equation is y = n(x − h)2 + k, where (h, k) gives the coordinates of the vertex of the parabola in the xy-plane and the sign of the constant n determines whether the parabola opens upward or downward.
If n is negative, the parabola opens downward and the vertex is the maximum.
The given equation has the values h = 3, k = a, and n = −1.
Therefore, the vertex of the parabola is (3, a) and the parabola opens downward.
Thus, the parabola’s maximum occurs at (3, a)
Ans D
I know the answer but I don’t know what is happening with Brainly sorry
