Total number of hours she schduled to play the game = 3
hours.
Let us convert mixed fraction into improper fraction
Duration of each round = 
.
In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.
÷
Converting division sign into multiplication flips the second fraction.
Crossing out 12 by 4, we get 3 on the top of second fraction.
Because problem is about number of rounds.
So, total number of round would be 5.
Answer:
（2,-4）
Step-by-step explanation:
-4＋2＝-2
10＋-4＝10-4＝6
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:
In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))
Get the composite function g(h(x))
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067
The answer should be X>4
Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :
2*x+8-(5*x-4)<0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-3x + 12 = -3 • (x - 4)
Equation at the end of step 1 :
Step 2 :
2.1 Divide both sides by -3
Remember to flip the inequality sign:
Solve Basic Inequality :
2.2 Add 4 to both sides
x > 4
Answer:
m∠LTE = 110
Step-by-step explanation:
1. add up all of the arcs.
2x+3x+4x-8+x-12
2. all of the arcs equal 360
2x+3x+4x-8+x-12=360
3. Find x
10x-20=360, x=38
4. angle LTE is equal to half of the sum of the intercepted arcs.
0.5(arc LE +GF)
5. plug in LE +GF with x
.5(76+144)
