Answer:
13. Linear Function
12. Absolute Value Function
11. Quadratic Function
10. Constant and Linear Function
Step-by-step explanation:
13. This graph is in Slope-Intercept Form, 
. The equation of this line is 
.
12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".
11. This graph is in the shape of a parabola, so it is considered "Quadratic".
10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of , and the equation of this line is 
, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.
I am joyous to assist you anytime.
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sin(x)^4 - sin(x)^2 = cos(x)^4 - cos(x)^2
sin(x)^2 = 1 - cos(x)^2:
sin(x)^4 - 1 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
-(1 - cos(x)^2) = cos(x)^2 - 1:
cos(x)^2 - 1 + sin(x)^4 = ^?cos(x)^4 - cos(x)^2
sin(x)^4 = (sin(x)^2)^2 = (1 - cos(x)^2)^2:
-1 + cos(x)^2 + (1 - cos(x)^2)^2 = ^?cos(x)^4 - cos(x)^2
(1 - cos(x)^2)^2 = 1 - 2 cos(x)^2 + cos(x)^4:
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = ^?cos(x)^4 - cos(x)^2
-1 + cos(x)^2 + 1 - 2 cos(x)^2 + cos(x)^4 = cos(x)^4 - cos(x)^2:
cos(x)^4 - cos(x)^2 = ^?cos(x)^4 - cos(x)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
Answer:
see explanation
Step-by-step explanation:
(a)
0 < 5 ⇒ f(0) = x + 4 = 0 + 4 = 4
f(0) = 4
(b)
5 ≤ 6 < 7 ⇒ f(6) = 8
You forgot to provide the slope but here is how you do this
the slope 5 = (y2 - y) / (x2 - x) but we know that (x2, y2) = (-10, -5)
=> (-5 - y) / (-10 - x) = 5 --- multiply both sides by (-10 - x)
=> (-5 - y) = 5 (-10 - x)
=> (-5 - y) = -50 - (5)x --- add +5 to both sides
=> -y = (-50 + 5) - (5)x --- multiply both sides -1
=> y = 5x + 45 --- this will be your equation.
The answer is 25.74$ because 7% of the 33$ is 2.31$ and the tip which 15% is 4.95$ so if you subtract all that it come out to 25.74$
