Answer:
1.a. not a function
1.b. function
1.c. function
1.d. not a function
1.e. not a function
1.f. not a function
Step-by-step explanation:
1.a.
The arrows from x to y show that the ordered pairs of this function are:
(1, 4), (1, 5), (0, 7), (1, 6), (2, 5).
Since the x-coordinate 1 is used in two different ordered pairs, (1, 4) and (1, 5), this relation is not a function.
1.b.
Each x-coordinate is used only once, so this relation is a function.
1.c.
All x-coordinates are different. Function.
1.d.
Two ordered pairs have the same x-coordinate. Not a function.
1.e.
Two ordered pairs have the same x-coordinate. Not a function.
1.f.
Two ordered pairs have the same x-coordinate. It does not pass the vertical line test. Not a function.
Answer:
51°
Step-by-step explanation:
Reference angle (θ) = ?
Opposite side length = 31
Hypotenuse length = 40
Apply SOH, which is;
Sin θ = Opp/Hyp
Plug in the values
Sin θ = 31/40
θ = sin^{-1}(31/40)
θ = 51° (neatest whole degree)
<span>the blank boxes are for you to plug in x=20 to prove its right.
so it would be
3(20)-4=2(20+8)
60-4=2(28)
56=56
so its true!</span>
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
------>inequality A
The solution of the inequality A is the shaded area above the dashed line 
The y-intercept of the dashed line is (0,6)
The x-intercept of the dashed line is (-24,0)
The slope of the dashed line is positive m=1/4
------>inequality B
The solution of the inequality B is the shaded area above the dashed line 
The y-intercept of the dashed line is (0,-1)
The x-intercept of the dashed line is (0.5,0)
The slope of the dashed line is positive m=2
The solution of the system of inequalities is the shaded area between the two dashed lines
using a graphing tool
see the attached figure
