PLEASE HELP!! pic attached (30 points)
1 answer:
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The graph which represents the polynomial function g(x) is:
the 2nd graph in the second line
Step-by-step explanation:
g(x) = x³ + x² - 17x + 15 is a cubic function because the greatest power
of x is 3
All graphs represent cubic functions
So to find which graph which represents g(x) we will do these steps
1. Put x = 0 to find the y-intercept
2. If there are more than one graph have the same y-intercept we will
find the maximum and the minimum points of the cure
3. If you still don't know which graph find the x-intercepts
Now let us find the graph which represents g(x)
∵ g(x) = x³ + x² - 17x + 15
∵ x = 0
∴ g(0) = (0)³ + (0)² - 17(0) + 15
∴ g(0) = 15
∵ g(0) is the y-intercept
∴ The graph intersect the y-axis at point (0 , 15)
There is only one graph intersects y-axis at point (0 , 15)
The attached figure is the graph of g(x)
The graph which represents the polynomial function g(x) is:
the 2nd graph in the second line
Learn more:
you can learn more about functions in brainly.com/question/10541435
#LearnwithBrainly
Answer:
Length of the flower garden = 29 meters
Width of the flower garden = 16 meters
Step-by-step explanation:
I have also attached a diagram for your convenience
Now First let us see the data we are given with:
Arif's backyard length = 37 meters
Arif's backyard Width = 24 meters
Area that should be left with grass = 424 m^2
Now lets suppose the width of the stirp of grass be "a"
According the image the area of backyard will be:
Area ABCD = 24 x 37
Area ABCD = 888 m^2
The length LM will be = (37 -2a)
The Width LO will be = (24 -2a)
Area LMNO = (37 -2a) x (24 -2a)
Area LMNO = 888 -74a -48a +4a^2
Area LMNO = 4a^2 -122a + 888
Now in order the to calculate the area of the grass strip we must subtract the area LMNO from the total area ABCD and we already know that the areas the area of grass strip should be 424 m^2
hence, A = Area ABCD - Area LMNO
424 = 888 - (4a^2 -122a + 888)
424 = 888 - 4a^2 +122a - 888
424 = -4a^2 +122a
4a^2 -122a +424=0
(We can solve this quadratic equation by breaking the middle term method)
2(2x-53)(x-4) = 0
2(2x-53) = 0
2x -53 = 0
x = 53/2
x = 26.5 (Not Possible)
x-4 = 0
x = 4
Length of the flower garden = 37 -2(4)
Length of the flower garden = 29 meters
Width of the flower garden = 24 -2(4)
Width of the flower garden = 16 meters
