How much greater is the median number of pairs of shoes in the inventory at the Golf pro Shop than the median number of pairs of
shoes in the inventory at the Tennis Pro Shop?
2 answers:
You might be interested in
<u>Given</u>:
Given that the graph of the linear equation.
We need to determine the equation of the graph.
<u>Slope</u>:
The slope of the equation can be determined using the formula,
Let us substitute the coordinates (2,0) and (0,-4) in the above formula, we get;
Thus, the slope of the equation is 2.
<u>y - intercept:</u>
The y - intercept of the equation is the value of y when x = 0.
Hence, from the graph, it is obvious that when x = 0, the value of y is -4.
Therefore, the value of the y - intercept is b = -4.
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the values, we have;
Subtracting both sides by 2x, we have;
Dividing both sides by -1, we get;
Thus, the equation of the line is
Hence, Option B is the correct answer.
9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
