Answer:
#1. 8.27
#2. 36
#3. 22
#4. 7.25
Step-by-step explanation:
#1: 60÷11=5.45 ----> 5.45×16=<u>87.27</u> <This is a non-terminating decimal>
#2: 60÷5= 12 ----> 12×3= <u>36</u>
<u></u>
#3: Games- 35 Won- 14 Lost- 21
In 1 Game Manchester won = 14/35 = 2/5 games in 54 Game Manchester won = 54 x 2/5 games
= 108 / 5
= 21.6
<u>= 22</u>
<u></u>
#4: 6 : 91 ⇒ n : 110
6(110) ⇒ 91(n)
660 ⇒ 91n
660/91 ⇒ n
<u>7.25=n</u>
<u></u>
The domain of the function g(x) = 2 log₂(x - 4) + 3 will be (4, ∞). Then the correct option is A.
<h3>What are domain and range?</h3>
The domain means all the possible values of x and the range means all the possible values of y.
The graph of the function f(x) = log₂x is shown.
Function g is defined as g(x) = 2f(x - 4) + 3.
Then the function g(x) will be
g(x) = 2 log₂(x - 4) + 3
Then the domain of the function g(x) will be (4, ∞).
Then the correct option is A.
More about the domain and range link is given below.
brainly.com/question/12208715
#SPJ1
Step-by-step explanation:
tell me the drop down box and i can help
Y + x = 5x + 3
12 - y = x + 2y
Isolate x in the first equation, then substitute its expression into the second equation to find y:
y + x = 5x + 3
x = 5x - y + 3
-4x = -y + 3
x = y - 3/4
---
12 - y = x + 2y
12 - y = (y - 3/4) + 2y
48 - 4y = y - 3 + 8y
48 - 4y = 9y - 3
-4y = 9y -51
-13y = -51
y = 51/13
Substitute this into the first equation to find x:
51/13 + x = 5x + 3
x - 5x = 3 - 51/13
-4x = -12/13
x = 3/13
Lastly, substitute back into both original equations to check work;
y + x = 5x + 3 --> 51/13 + 3/13 = 5(3/13) + 3 --> 54/13 = 54/13
12 - y = x + 2y --> 12 - 51/13 = 3/13 + 2(51/13) --> 105/13 = 105/13
Answer:
x = 3/13
y = 51/13
Hope this helps.
