Answer:
Mode: 11
Median: 11
Step-by-step explanation:
mode is number that shows up the most
Arrange numbers in order :
7 8 9 10 11 11 12 13 18
number physically in the middle is median
Answer: x = 16
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable. :)
Answer:
One possible equation is , which is equivalent to .
Step-by-step explanation:
The factor theorem states that if (where is a constant) is a root of a function, would be a factor of that function.
The question states that and are -intercepts of this function. In other words, and would both set the value of this quadratic function to . Thus, and would be two roots of this function.
By the factor theorem, and would be two factors of this function.
Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant ():
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with :
, or equivalently,
.
3/5 + 7/10 / 7/12 - 3/10
13/10 / (35/60 - 18/60=)17/60
10/13 x 60/17 = 78/17 = 4 10/17