Answer:
4×30+5×30=120+150=270
Step-by-step explanation:
looking at the last row, we can see that the total number of students will be 4×30+5×30=120+150=270
First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Suppose you are given the two functions <span>f (x) = 2x + 3</span><span> and </span><span>g(x) = –x2 + 5</span><span>. Composition means that you can plug </span><span>g(x)</span><span> into </span><span>f (x)</span><span>. </span>
Answer:
62 units
Step-by-step explanation:
The absolute value of a number A is the positive distance between 0 and the number A (you can think this distance as the distance measured with a ruler from 0 to the number). For example:
|-2|=2 , |25|=25, |-3|=3, |-25.3|=25.3
Note that the absolte value is always positive.
The distance between two numbers P,Q in the real line is the absolute value of the difference between the two points:
Hence, the distnce between P=-50 and Q=12 is equal to
The reciprocal of a fraction

is the same fraction "upside down"

.
The reciprocal of a whole number

is "1 over" that number

.
10/9
11/1 or 11
1/10