2t=o
t=the hours of television
0=the hours outdoors
Since the #hours outdoors is twice the #hours of television, the equation is 2t=o
140 tickets sold at the door
Step by Step Explanation:
x = tickets sold in advance
y = tickets sold at the door
We use the formula ax+by=c and a+b=c
x + y = 514
17x + 20y = 9158
y = 514 - x
17x + 20(514 - x)
17x + 10,280 - 20x = 9,158
-3x + 10,280 = 9,158
-3x = -11222
x = 374
This is for tickets sold in advance so we need to find y
374 + y = 514
y = 140
140 tickets were sold at the door
The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.
Given the table
x f(x)
-2 -46
-1 -22
0 -10
1 -4
2 -1
We have to choose which statement describes better about function
Let us assume ![f(x)=ab^x+c](https://tex.z-dn.net/?f=f%28x%29%3Dab%5Ex%2Bc)
at x=0, f(0)=-10
So, -10 =a+c
Similarly, by satisfying the above table in the f(x)
![f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B33%7D%7B5%7D%20%28%5Cfrac%7B1%7D%7B11%7D%29%5Ex-%5Cfrac%7B17%7D%7B5%7D)
![f'(x) > 0](https://tex.z-dn.net/?f=f%27%28x%29%20%3E%200)
So we can say that f(x) is an increasing function.
![g(x) = - 18 (\frac{1}{3} )^ x + 2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-%2018%20%20%28%5Cfrac%7B1%7D%7B3%7D%20%20%29%5E%20x%20%2B%202)
![g^ \prime (x) = - 18 (\frac{1}{3} )^ x ln(1/3)](https://tex.z-dn.net/?f=g%5E%20%5Cprime%20%28x%29%20%3D%20-%2018%20%28%5Cfrac%7B1%7D%7B3%7D%20%20%29%5E%20x%20%20ln%281%2F3%29)
ln(1/3) < 0
So, g^ \prime (x) > 0
So, g(x) is an increasing function.
For any x∈f(x) and x∈g(x) ![g'(x) > f'(x)](https://tex.z-dn.net/?f=g%27%28x%29%20%3E%20f%27%28x%29)
So, g increases at a faster average rate
Thus, Both functions are increasing, but function g increases at a faster average rate.
Learn more about increasing functions here: brainly.com/question/12940982
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Answer:
0
Step-by-step explanation:
Given that,
6m - 2n=0
=>6m=2n
=>n=3m [divide both side by 2]
& mn=12
Now,
216c - 8n³
= 216m³- 8(3m)³
=216m³- 8 .27m³
=216m³- 216m³
=0
The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Class A has 15 pupils and class B has 29 pupils. The mean score for class A is 55. Hence:
Mean score of A = (sum of all scores) / 15
55 = (sum of all scores) / 15
sum of all scores in A = 825
The mean score for both classes is 76. Hence:
[(sum of all scores in A) + (sum of all scores in B)]/(total number of pupils) = mean score of both classes
[825 + (sum of all scores in B)]/(15 + 29) = 76
sum of all scores in B = 2519
Mean score of B = (2519) / 29 = 86.86
The mean score (rounded to 2 DP) in the Math's test for class B is 86.86.
Find out more on equation at: brainly.com/question/13763238
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