<span>three functions are
f(x) = 3(x + 4)^2 + 1
g(x) = 2x^2 - 16x + 15
h(x) = a(x - 1) - 3
Axis of symmetry for f(x) is x=-4 For g(x)
by taking the derivative
g'(x) = 4x - 16
= 4(x - 4)
Axis of symmetry for g(x) is x=4
Axis of symmetry for h(x) is x=1
hope it helps
</span>
The given in this
problem are:
99% confidence level
N = 61
Mean = 2.0 kg
Standard deviation = 4.8
Z value for a 9%
confidence interval is 2.576
Confidence Interval = mean
± Z s/ sqrt n
= 2.0 ± 2.576(4.8/sqrt 61)
=2.0 ± 2.576 (0.6145770236779006736364371988794)
= 2.0 ± 1.5832
<span>= 0.4168 < x < 3.5832</span>
<span>With the information given, we can not find an answer by what angles are congruent, but we can find the sum. A triangle must have a sum of 180 degrees
so you can sum up all the choices and see which one does not equal 180
The answer is C
</span>A 180 This can be a triangle
B 180 This can be a triangle
C 182 This can NOT be a triangle
D 180 This can be a triangle
Answer:
81
Step-by-step explanation:
g(x) = x^4 put f(x) in for x in g(x)
g(f(x)) = (f(x))^4 Substitute the value for f(x) which is (-2x - 5) put - 4 in for the x in f(x)
g(f(x) = (-2x - 5)^4
g(f(x)) = (- 2*(- 4) - 5)^4 Combine
g(f(x)) = (8 - 5)^4 Subtract
g(-4) = (3)^4 Raise 3 to the 4th power
g(-4) = 81 Answer.