Explain how to write and evaluate an algebraic expression that represents the situation. The blueberries were divided equally in
2 answers:
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We know that
case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.
Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1
Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1
the answer is
a=1/9
case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.
Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2
the answer is
a=3
see the attached figure
case a)
the equation of the vertical parabola write in vertex form is
y=a(x-h)²+k,
where (h, k) is the vertex.
Using our vertex, we have:
y=a(x-2)²-1
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
0=a(5-2)²-1
0=a(3)²-1
0=9a-1
Add 1 to both sides:
0+1=9a-1+1
1=9a
Divide both sides by 9:
1/9 = 9a/9
1/9 = a
y=(1/9)(x-2)²-1
the answer is
a=1/9
case b)
the equation of the horizontal parabola write in vertex form is
x=a(y-k)²+h,
where (h, k) is the vertex.
Using our vertex, we have:
x=a(y+1)²+2,
We know that the parabola goes through (5, 0),
so
we can use these coordinates to find the value of a:
5=a(0+1)²+2
5=a+2
a=5-2
a=3
x=3(y+1)²+2
the answer is
a=3
see the attached figure
Option a:
Option b:
Option c:
Explanation:
The highest degree of a polynomial is the largest exponent of that variable.
Now, we shall determine the polynomial with degree 3.
Option a:
From the expression , the highest degree of the polynomial is 3.
Hence, is a polynomial with a degree of 3.
Hence, Option a is the correct answer.
Option b:
From the expression , the highest degree of the polynomial is 3.
Hence, is a polynomial with a degree of 3.
Hence, Option b is the correct answer.
Option c:
From the expression , the highest degree of the polynomial is 3.
Hence, is a polynomial with a degree of 3.
Hence, Option c is the correct answer.
Option d:
From the expression , the highest degree of the polynomial is 1.
Hence, is a polynomial with degree 1.
Hence, Option d is not the correct answer.