Answer:
f of x equals 7 times one eighth to the x power
Step-by-step explanation:
Given phrase,
function f of x equals 7 times one half to the 3 times x power,

By the power to power property of exponent,
That is,



= f of x equals 7 times one eighth to the x power
4. 2b-6+3b=
5b-6=143
5b=143+6
5b=149
b=149
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5
According to your question, there are 2 unknown numbers mentioned.
Let the 2 unknown numbers be represented by the variables x & y, then
x is considered to be one of the numbers being more than y by the addition of 4, .ie.
x = 4 + y --- (1)
The sum of the 2 numbers is 60, i.e.
x + y = 60 --- (2)
To find the smaller number, we solve eqn (1) & (2) using the concept of substitution, i.e. substitute 4 + y for x in eqn (2), i.e.
4 + y + y = 60
4 + 2y = 60
2y = 60 - 4
2y = 56
y = 28 ...Ans.
Recall that x is more than y by 4, then 28 is the smaller number.
Answer:
a.2nd quarter with 9 goals
b. 4.8 goals
c. 4 goals
Step-by-step explanation:
a. The mode is defined as the most appearing data point or the data point with the highest frequency..
From our data(for away goals):
- 1st quarter-2
- 2nd quarter-9
- 3rd quarter-7
- 4th quarter-4
Hence, the 2nd quarter has the mode for away goals with 9 goals.
b. Mean is defined as the average of a set of data points.
#We calculate the totals goals per quarter, sum over all quarters then divide by the number of games, 10:

Hence, the mean number of goals per quarter is 4.8 goals
c. To find the number of more home goals than away goals, we subtract from their summations as:

Hence, there are 4 more home goals than away goals.