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
Learn more about Linear function at:
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Answer:
C
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, so
scale factor =
=
=
→ C
Hello!
4 (x-12) ^ 1/3 = -16
Step 1. Simplify each side of the equation, 4/
3x + −16 = −16 and 4
/3
x −16 = −16
Step 2. Add 16 to both sides, 4
/3
x − 16 + 16 = −16 + 16
Step 3: Multiply both sides by 3/4, (
3/4)*(4/3x)=(3/4)*(0)
Final Answer: x= 0
Hope I could help! :)
Answer:
Length: 84 ft
Width: 56 ft
Step-by-step explanation:
Let's define some variables first.
Call the length l and width w.
We know that w = 2/3l. Therefore, we can express w in terms of l with this expression.
Now, let's set up an equation. The flower garden is rectangular, and 280 feet of fencing are used to enclose the garden. This represents perimeter.
Remember the formula for perimeter of a rectangle: 2l + 2w
Let's substitute 2/3l for w:
2l + 2*2/3l = P
2l + 4/3l = 280
2 4/3l = 280
10/3l = 280
l = 84
Now, we know that the length is equal to 84 feet. We can multiply 84 feet by 2/3 to find the width.
84*2/3 = 56
Length: 84 ft
Width: 56 ft
Let's plug these values into the formula and see if they give us the correct perimeter:
2l + 2w = P
2*84 + 2*56 = P
168 + 112
= 280 feet
These are the correct dimensions!
Hope this helps! You can reach out to me if you have further questions or concerns! :)