Need help 7th grade math test. Questions will be in photos
2 answers:
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Answer:
Zeros : 1 , -1, 3
Degree : 4
End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞
Y - intercept : -3
Extra Points: (0,-3), (2,-3)
Step-by-step explanation:
f(x) = 0 to find the zeros
Clearly x = -1,1,3
Here 1 is a repeating root as it is (x-1)²
Degree is highest power of x in f(x)
Clearly it is x*x²*x = x⁴ is the maximum power of x
Thus degree is 4
Looking at end behavior we substitute x->∞ and x-> -∞
Clearly f(x)>0 as all terms are positive and f(x)->∞
Similarly when x->-∞
f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞
Y-Intercept is f(0)
f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3
Thus Y-Intercept is -3
Substitute x = 0 , 2 for extra points
Thus f(0) = -3
and f(2) = -3
Thus points on the graph (0,-3), (0,2)
We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.
So what we know is that 15 is the diameter
However the formula to find the area of a circle is A=
r²
So to convert the 15 in diameter to a radius you have to do 15÷2,which is equal to 7.5
Now we know that the radius is 7.5.
So what we do now is A=7.5²
Then after we find what 7.5² is we get A=56.25
Then what we do is 3.14×56.25, because pi= 3.14.
So when we do 3.14×56.25, we get 176.625
So the answer is A= 176.6 in²
However the formula to find the area of a circle is A=
So to convert the 15 in diameter to a radius you have to do 15÷2,which is equal to 7.5
Now we know that the radius is 7.5.
So what we do now is A=
Then after we find what 7.5² is we get A=
Then what we do is 3.14×56.25, because pi= 3.14.
So when we do 3.14×56.25, we get 176.625
So the answer is A= 176.6 in²