Answer:

Step-by-step explanation:
simplify
Answer:
Since that is a quadratic equation, it will have 2 "x" intercepts.
x^2+7x+2
a = 1 b = 7 c = 2
You would solve for "x" using the quadratic formula.
x = [ -b +- sq root (b ^ 2 - 4 a c) ] / 2 a
x = [ -7 +- sq root (7^2 - 4*1*2) ] / 2 * 1
x = [ -7 +- sq root (49 -8) ] / 2
x1 = [-7 + 6.4031242] / 2
x1 = -.29844
x2 = [-7 - 6.4031242] / 2
x2 = -6.7016
Step-by-step explanation:
The IQR is of this problem is 17 because the Q3 (32) - Q1 (15) = 17
Answer:
18564
Step-by-step explanation:
In the problem Given, we just need to see t any 6, the order of selection does not matter, hence, this is a combination problem :
Using the combination relation :
nCr = 18C6
Recall ;
nCr = n! / (n-r)!r!
18C6 = 18! / (18-6)!6!
18C6 = 18! / 12!6! = (18*17*16*15*14*13) / (6*5*4*3*2*1)
18C6 = 13366080 / 6!
18C6 = 18564
To determine the graph that corresponds to the given inequality, first, let's write the inequality for y:

Add 3 to both sides of the expression

Divide both sides by 5

The inequality is for the values of y greater than or equal to 2/5x+3/5, which means that in the graph the shaded area will be above the line determined by the equation.
Determine two points of the line to graph it:
-The y-intercept is (0,3/5)
- Use x=5 to determine a second point

The second point is (5,13/5)
Plot both points to graph the line. Then shade the area above the line.
The graph that corresponds to the given inequality is the second one.