The value of f –1(13) is 4
<h3>How to determine the inverse value?</h3>
The table of values is given as:
x –4 0 2 5 9 13
f (x) –11 1 7 16 28 40
A linear function is represented as:
y = mx + b
Where b represents the y-intercept and m represents the slope
From the graph, when x = 0, y = 1.
This means that b = 1
So, we have
y = mx + 1
Also from the graph, when x = 2, y = 7.
So, we have:
7 = 2m + 1
Subtract 1 from both sides
7 - 1 = 2m + 1 - 1
Evaluate the difference
6 = 2m
Rewrite the above equation as:
2m = 6
Divide both sides of the equation by 2
m = 3
Substitute m = 3 in y = mx + 1
y = 3x + 1
The notation f –1(13) implies that y = 13
So, we have
13 = 3x + 1
Subtract by 1
3x = 12
Divide by 3
x = 4
Hence, the value of f –1(13) is 4
Read more about linear functions at:
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First of all, 2^n and 3^n are exponentials with different bases, and thus their sum cannot be simplified beyond 2^n + 3^n. In other words, these two functions cannot be combined ino one function (such as 4^n).
You may gain much more insight by graphing 2^n, 3^n and 4^n to determine whether there is truth in the given statement or not.
Answer:
<h2>The scale is 1 inch rep 4 feet or </h2><h2>1:4</h2>
Step-by-step explanation:
This problem is on ratios, the ratio of one quantity to another is a way to represent their relative size.
Moreso, the scale of a drawing tells us to what extent the drawing has been increased (maximized) or decresed (minimized)
now given that the actual dimention of the appartmentis 28ft wide
and on the drawing the apartment is 7 inches wide, we can see that the actual dimension has been reduced by a factor of 28/7= 4
hence the scale to represent this reduction is
1 inch to represent 4 feet
Let the number of knife be x.
Knife = x
Spoon = 2x
forks = 2x
Total = 30
x + 2x + 2x = 30
5x = 30
x = 6
Knife = x = 6
forks = 2x = 12
Spoon = 2x = 12
Answer: There are 12 forks.
Answer:
3(2x + 5)
Step-by-step explanation:
6x + 15
You can factor out a 3 in the expression, which gets you,
3(2x + 5)
