An even # is 8 and you could draw two squares and say its even because its divisible by 2
Answer:
2x^2 -8x
Step-by-step explanation:
2x(x-4)
Distribute
2x*x -2x*4
2x^2 -8x
The given statement is true.
In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.
Consider an exponential function
and a quadratic function
.
Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.
Therefore, we can conclude that the given statement is correct.
Answer:
51
∘
and
129
∘
Explanation:
Angles that are supplements sum to
180
∘
.
This means if one angle is called
A
∘
, the other angle is
(
A
−
78
)
∘
A
+
A
−
78
=
180
2
A
−
78
=
180
2
A
=
258
A
=
258
2
=
129
∘
A
−
78
=
129
−
78
=
51
∘
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
--- Mean
--- Variance
Calculate the standard deviation
Solving (a): P(X < 1.96)
First, we calculate the z score using:
This gives:
The probability is then solved using:
From the standard normal distribution table
So:
Solving (b): P(X > 1.64)
First, we calculate the z score using:
This gives:
The probability is then solved using:
From the standard normal distribution table
So:
Solving (c): P(0.5 < X < 0.5)
This can be split as:
In probability:
becomes