First markdown: 0.75($500) = $375
Second markdown: 0.75($375) = $281.25
Third markdown: 0.75($281.25) = $210.94
Answer:
B
Step-by-step explanation:
1. In order to determine the inequality, you must first solve the solution set to determine what x is less than.
So you would do this:
1 + 2x < 9 Subtract 1
2x < 8 Divide by 2
x < 4
2. Next, you need to understand the difference between an open circle and a closed circle shown on the solution sets.
An open circle is equal to the following inequalities:
<, >
A Closed circle represents inequalities in situations such as:
greater than or equal to, or less than or equal to
3. Because the inequality above represents only less than or greater than the inequality sets should have an open circle being used.
Since x is less than 4 it should be moving to the left of the line inequality set.
Answer:
a
Step-by-step explanation:
Answer:
When we have a quadratic equation:
a*x^2 + b*x + c = 0
There is something called the determinant, and this is:
D = b^2 - 4*a*c
If D < 0, then the we will have complex solutions.
In our case, we have
5*x^2 - 10*x + c = 0
Then the determinant is:
D = (-10)^2 - 4*5*c = 100 - 4*5*c
And we want this to be smaller than zero, then let's find the value of c such that the determinant is exactly zero:
D = 0 = 100 - 4*5*c
4*5*c = 100
20*c = 100
c = 100/20 = 5
As c is multiplicating the negative term in the equation, if c increases, then we will have that D < 0.
This means that c must be larger than 5 if we want to have complex solutions,
c > 5.
I can not represent this in your number line, but this would be represented with a white dot in the five, that extends infinitely to the right, something like the image below:
<span>x² - 18x - 4 = ox² - 18x = 4x² - 18x + (18/2)² = 4 + (18/2)²x² - 18x + 81
</span>