Answer:
The inequality is true.
Step-by-step explanation:
To show that it is true, you simply sub in 4 for x and 5 for y and see if the statement is true or not
7(4)-3(5) < 19
28-15 < 19
13 < 19
X= 14 for the top
x= -2 for the bottom
Answer:
x = 38
∠P = 26º
Step-by-step explanation:
The sum of the angle in a triangle is 180
x + (x + 78) + (x - 12) = 180
Combine like terms
3x + 66 = 180
Subtract 66 from both sides
3x = 114
Divide both sides by 3
x = 38
-----------------------
∠P = x - 12
∠P = 38 - 12
∠P = 26º
Answer:
53
Step-by-step explanation:
72 = x + 3x - 4
72 = 4x - 4
72 + 4 = 4x - 4 + 4
76 = 4x
76/4 = 4x/4
x = 19
3(19) - 4 = 53
Hope this helps!
Answer:
(r o g)(2) = 4
(q o r)(2) = 14
Step-by-step explanation:
Given


Solving (a): (r o q)(2)
In function:
(r o g)(x) = r(g(x))
So, first we calculate g(2)




Next, we calculate r(g(2))
Substitute 9 for g(2)in r(g(2))
r(q(2)) = r(9)
This gives:


{

Hence:
(r o g)(2) = 4
Solving (b): (q o r)(2)
So, first we calculate r(2)




Next, we calculate g(r(2))
Substitute 3 for r(2)in g(r(2))
g(r(2)) = g(3)




Hence:
(q o r)(2) = 14