Answer:
axis of symmetry x=3/2
vertex (3/2, 0)
Step-by-step explanation:
to find the axis of symmetry we use h = -b/2a
where ax^2 + bx+c
h = -(-12)/2(4)
h= 12/8
h = 3/2
the axis of symmetry is x = 3/2
the x coordinate of the vertex is h x=3/2
to find k, the y coordinate of the vertex, substitute x=3/2 into the equation
y=4x^2-12x+9
y=4(3/2) ^2-12(3/2)+9
= 4 (9/4) - 6*3 +9
= 9-18+9
= 0
the vertex (3/2, 0)
let l = lance, and a = alex.
so: l + a = 70
and l = 4a
Putting the value for l in the first equation:
4a +a = 70
5a = 70
a = 14.
So Alex has 14 pencils. And Lance has (70-14) 56 pencils.
And if each child gets half of Alex' pencils, then each child will have 7 pencils.
Answer:
The leading coefficient in the polynomial 10x2 + 3x - 5 is 10.
Step-by-step explanation:
To find the leading coefficient of the polynomial function, we must first locate the leading term. In a polynomial function, the leading term is the term containing the highest power of x. In this polynomial function, the leading term is 10x2. The leading coefficient of a polynomial function is the coefficient of the leading term, and so the leading coefficient of this polynomial function is 10.
The answer is 89078.88 ft
1 mile = 5280 feet
Multiply 16.871 by the length value of 5280
16.871 * 5280 = 89078.88 ft
Answer: 12.96
Step-by-step explanation:
given data:
Poisson distributio = 3.60
solution:
The Poisson distribution expected value is same as Variance.
which is expressed as = SD^2
therefore;
the expected value
= SD^2
= 3.60^2
= 12.96
