In a standard deck of cards, there are 26 different red cards. How many possible combinations of 5 red cards
1 answer:
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Answer:
x=-3 x=-1 x=2 x=-2
Step-by-step explanation:
p(x) = (x^2 + 4x + 3)(x^2 – 4)
Set this equal to zero to find the x intercepts
0 = (x^2 + 4x + 3)(x^2 – 4)
Using the zero product property
(x^2 + 4x + 3) =0 (x^2 – 4) =0
Factor
(x+3)(x+1) =0 (x-2) (x+2)=0
Using the zero product property
x+3 =0 x+1 =0 x-2 =0 x+2 =0
x=-3 x=-1 x=2 x=-2
<u>Given:</u>
Given that the graph of a linear function.
We need to determine the equation of the graph in slope intercept form.
<u>Slope</u>:
Consider any two coordinates from the equation of the line to determine the slope.
Let the two coordinates are (-4,3) and (4,-1)
The slope can be determined using the formula,
Substituting the coordinates in the above formula, we get;
Thus, the slope of the equation is
<u>Value of y - intercept:</u>
The value of y - intercept is the value of y when x = 0.
Hence, from the graph, it is obvious that the value of y when x = 0 is 1.
Hence, the value of y - intercept is 1.
Thus, y - intercept is
<u>Equation of the line:</u>
The equation of the line can be determined using the formula,
Substituting the slope and the y - intercept
Thus, we get;
Thus, the equation of the line is