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)
Answer:
Answers are 20, 12 and 16
Step-by-step explanation:
Y=4x
for x = 5
y=4(5)
y=20
for x = 3
y=4(3)
y=12
for x = 4
y=4(4)
y=16
Answer:
Step-by-step explanation:
From the information given:
For Adult Men
Mean
= 69.5
Standard deviation
= 2.4
observed value X = 74
For Adult Women
Mean
= 63.8
Standard deviation
= 2.6
observed value X = 70
Therefore ; the values for their z scores can be obtained in order to determine who is more unusually tall within his or her respective sex
For Adult Men :



z = 1.875
For Adult Women :



z = 2.3846
Thus; we can conclude that , the women is more unusually tall within his or her respective sex
When multiplying numbers, it doesn't matter which number is first or second.
The correct answer is: Commutative Property of Multiplication
Percentage decrease = d
h1 = 2950
h2 = 2550
d/100 = (h2-h1)/h1
d/100 = (2950-2550)/2950
d=13.56