The correct answer is C) the function represented by the graph has a steeper slope and the function represented by the equation has a larger y-intercept.
The equation is written in slope-intercept form, y=mx+b. m is the slope and b is the y-intercept. In this function, the slope is 2 and the y-intercept is 2.
Looking at the graph, the y-intercept is 1. Going from the y-intercept, if we go up 2, it does not go over quite 1 unit. Therefore the slope is steeper on the graph.
<span>Simplifying
4x2y + 12xy2 + 9y3
Reorder the terms:
12xy2 + 4x2y + 9y3
Factor out the Greatest Common Factor (GCF), 'y'.
y(12xy + 4x2 + 9y2)
Factor a trinomial.
y((2x + 3y)(2x + 3y))
Final result:
y(2x + 3y)(2x + 3y) if its not sorry
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The sum of the 5 terms in the arithmetic series is 40.
Step-by-step explanation:
Step 1; First we need to determine the three values between a1= -14 and a5=30. The difference between the first and fifth value = 30 - (-14) = 30 + 14 = 44.
Since there are 4 values after a1 we divide the difference by the number of terms, the difference between each term = 44 / 4 = 11. So the difference between each term is 11.
Step 2; To find out the terms we just add the difference to the previous number.
a1 = -14.
a2 = -14 + 11 = -3.
a3 = -3 + 11 = 8.
a4 = 8 + 11 = 19.
a5 = 19 + 11 = 30.
So a1 + a2 + a3 + a4 + a5 = -14 -3 + 8 + 19 + 30 = 40.
Answer:
1.083
Step-by-step explanation:
