Answer:
I'll go over the first two problems and you'll probably be able to do the rest on your own.
1.)
g(a) = 4a - 2
h(a) = -3a² - 2
Find (g○h)(a)
What (g○h)(x) mean is g( f(x) ). In this case, we have
(g○h)(a) so it's the same as g( f(a) ). All you do for this is plug in f(a) into every a that you see in g(a).
(g○h)(a) = g( f(a) )
(g○h)(a) = g( -3a² - 2 )
(g○h)(a) = 4(-3a² - 2) - 2
(g○h)(a) = -12a² - 10
2.)
g(n) = 2n - 3
f(n) = 2n³ + 2n²
(g○f)(n) = g( f(n) )
(g○f)(n) = g( 2n³ + 2n² )
(g○f)(n) = 2(2n³ + 2n²) - 3
(g○f)(n) = 4n³ + 4n² - 3
Answer:
The length of the arc is 2.25 units.
Step-by-step explanation:
The circumference of a circle is , where r is radius of the circle.
Total angle of a circle in degree is 360°.
Length of central angle formula
Given that,
A circle has a circumference of 5 units.An arc in the circle has a central angle of 162°.
Then,
=2.25 units.
The length of the arc is 2.25 units.
Answer:
Step-by-step explanation:
11 - 19 - 4 - (-8) =
11 - 19 - 4 + 8 =
- 23 + 19 =
- 4 <===
Answer:
Correct choice is B
Step-by-step explanation:
All given options represent quadratic function. Let the equation of this quadratic function be
Then
1.
2.
3.
Solve the system of two equations:
Then
Thus, the equation of the function is
Note that
A line....because it is a border line