A.
Time (weeks) -2- -5- -6- -9-
Plant growth (in.) -1.2- -3 -3.6- -5.4-
B.
Time (weeks) -2- -5- -6- -9-
Plant growth (in.) -1.4- -3.5- -4.2- -6.3-
C.
Time (weeks) -2- -5- -6- -9-
Plant growth (in.) -1.6- -4- -4.8- -7.2-
D.
Time (weeks) -3- -4- -6- -9-
Plant growth (in.) -1.5- -2- -3- -4.5-
The table that could represent Relationship B to have a greater rate than Relationship A is;
Table C
To find the rates of the various tables, we will use the formula;
Rate = Δy/Δx
Using the coordinates on the graph (4, 3) and (8, 6), we have;
Rate = (6 - 3)/(8 - 4)
Rate = 3/4
Rate = 0.75
For Table A;
From the graph, we can see the y-axis represents plant growth while the x-axis represents time.
Thus, using the coordinates (2, 1.2) and (5, 3), we have;
Rate = (3 - 1.2))/(5 - 2)
Rate = 0.6
For Table B;
Using the coordinates (2, 1.4) and (5, 3.5)
Rate = (3.5 - 1.4)/(5 - 2)
Rate = 0.7
For Table C;
Using the coordinates (2, 1.6) and (5, 4) gives;
Rate = (4 - 1.6)/(5 - 2)
Rate = 0.8
For Table D;
Using the coordinates (3, 1.5) and (4, 2) we have;
Rate = (2 - 1.5)/(4 - 3)
Rate = 0.5
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The graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
We have a polynomial function:
f(x) = x⁴ + x³ – 8x² – 12x
First, find the roots or zeros of the polynomial.
Using the factorization method:
We can write the above polynomial as:
f(x) = x(x³ + x² - 8x - 12)
Or
f(x) = x(x + 2)(x + 2)(x - 3)
Or
f(x) = x(x + 2)²(x - 3)
The zeros are:
x = 0
x = -2
x = 3
Thus, the graph (B) represents the polynomial function f(x) = x⁴ + x³ – 8x² – 12x because the graph intersect at 0, -2, and 3option (B) is correct.
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Answer: 2
Step-by-step explanation:
The answer is 360 dollars
Answer: 120 pieces.
Step-by-step explanation:
We know that 1 yard = 36 inches
Given: The length of each piece of ribbon= 25 yards
If she needs to cut 22 inches long pieces, then the total number of pieces cut from 1 ribbon
Thus, the total number of pieces she cut from 3 ribbons
Hence, the greatest number of 22-inch pieces that she can cut from the three ribbons =120