Answer:
4m³+8 is a 3rd degree binomial with constant term of
.
Step-by-step explanation:
- A binomial expression consists of two terms.
For example,
is a binomial, where m and n are two terms.
- As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.
For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.
Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.
Now, let us write a 3rd degree binomial with a constant term of 8
4m³+8
As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.
Also the highest exponent with variable m is
. Therefore it would be a 3rd degree binomial with constant term of
.
The axis of symmetry of a parabola is the vertical line passing through its vertex. Given a parabola
, the vertex x-coordinate can be found using

In your case, the formula leads to

So, this parabola is symmetric with respect to the line 
The Median is the middle value.
Arrange the numbers in order from smallest to largest:
Seattle: 23.78 , 32.46, 40.30, 45.79, 49.42, 55.14
Since there is an even number, the median is found by adding the 2 middle numbers and dividing by 2.
Median for Seattle: 40.30 + 45.79 = 86.09 / 2 = 43.045
Now do the same for Las Vegas:
2.33, 3.72, 3.84, 4.11, 5.62, 8.79
Median for Las Vegas: 3.84 + 4.11 = 7.95 / 2 = 3.975
Difference: 43.045 - 3.975 = 39.07
The answer is B.
Answer:
x = 34
Step-by-step explanation:
The angles x + 12, 100, and x add up to a straight angle, so the sum of their measures is 180°.
(x + 12) + (100) + (x) = 180
x + 12 + 100 + x = 180
2x + 112 = 180
2x = 68
x = 34