The multiplicative inverse of a number is the number when you multiply it, it gives you the product of 1.
So for - 27, what number will give us 1 when we multiply it by -27
-27 * -1/27 = 1
So the multiplicative inverse of -27 = -1/27
7/9 * 9/7 = 1
-9/16 * -16/9 = 1
So in essence, just take the number and flip it
-27 = -1 / 27
7/9 = 9/7
-9/16 = -16/9
The table doesn't represent linear function
Step-by-step explanation:
We need to identify if the table represent a linear function or not.
<u>Linear Function </u>
A linear function is defined as a straight line with an x and y intercept and the same slope through the whole line.
Finding the slope of elements in the table:
x y
0 0
1 1
2 8
3 27
Slope= y/x
Slope = 0/0=0
slope = 1/1 = 1
slope = 8/2 = 2
slope = 27/3 = 9
The function represented is: y=x^3
Since the slope of points x and y in the table is not same, and its graph is not linear.
So, the table doesn't represent linear function
Keywords: Linear Function
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From the graph of the given function , the value of f(1) = -1.
As given in the question,
From the graph of the given function,
Two coordinates from the graph are as follow:
( x₁ , y₁) = (1, -1)
( x₂ , y₂ ) = ( 0, -3 )
Equation of the line representing the function is given by:
(y - y₁) /(x-x₁) = ( y₂ -y₁)/ (x₂ -x₁)
⇒(y +1)/ (x-1) = (-3 +1)/ (0-1)
⇒ (y +1)/ (x-1) = 2
⇒y +1 = 2x -2
⇒ y = 2x -3
To get the value of x we have,
y = f(x)
⇒f(x) = 2x -3
⇒f(1) = 2(1) -3
⇒f(1) = -1
Therefore, from the graph of the given function , the value of f(1) = -1.
Learn more about graph here
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Answer:
The answer is 9/16.
Step-by-step explanation:
Using Indices Law,
So for this question :
The answer is actually D. Since 2.5 is a side of each tiny block, there is 3 sides that you are going to multiply together. There is 5,2 and 4 because we are multiplying the length,width and side. So the length is 2.5*5=12.5 which was correct. The width is 2.5*4=10 which you had but you crossed it out. Then lastly you are looking for the side of the shape. 2.5*2=5. Now that I have everything I just need to multiply everything together. 12.5*10*5=625 in³. I hope this helped you!
