Answer:
3x(x^2+3x-5) - factorised
Step-by-step explanation:
There are 3 face cards for each of the 4 suits, leading to a total possible gain of 120, there are 40 other cards leading to a total possible loss of 80.
120 - 80 = 40.
40 / 52 (total number of cards) = about .77
Final Answer:
The expected value of a draw is positive 0.77 points.
Hope I helped :)
Answer:
Graphing inequalities on a numberline:
38 > x
The point is directly on 38, the circle is hallow which means greater than or less than NOT or equal too. The arrow is pointing downwards signifying that 38 is greater than x.
10 ≤ x
This circle is filled in which means greater than or equal too or less than or equal too, in this case the arrow is pointing upwards showing that X is greater than or equal to 10.
28 ≤ X
The point is on 28 and the circle is filled in which means which means greater than or equal too or less than or equal too, in this case it is showing that x is greater than o r equal to 28 because the arrow is going up the numberline (upwards).
16 > x
This circle is NOT filled in which is hallow meaning that it is greater than or less than (also depending on where the arrow is pointing towards too). The point is on 16 and is showing the arrow going down which means 16 is greater than x.
Hi there!
When we have an equation standard form...

...the formula of the discriminant is
D = b^2 - 4ac
When
D > 0 we have two real solutions
D = 0 we have one real solutions
D < 0 we don't have real solutions
1.) Find the value of the discriminant and the the number of real solutions of
x^2-8x+7=0
Plug in the values from the equation into the formula of the discriminant

D > 0 and therefore we have two real solutions.
2.) Find the value of the discriminant and the number of real solutions of
2x^2+4x+2=0
Again, plug in the values from the equation into the formula of the discriminant.

D = 0 and therefore we have one real solution.
~ Hope this helps you.
For rational functions and functions with square roots, the domain can be all real numbers except (1) anything that will make them because the square root of only non-negative values exists and that of negative values does not.
<h3>What are the domain and range of the function?</h3>
The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
Let the functions with square roots be f(x) = √x.
The domain of this function is x ≥ 0,
Since the real number system does not exist the square root of negative numbers.
Therefore, For rational functions and functions with square roots, the domain can be all real numbers except (1) anything that will make them because the square root of only non-negative values exists and that of negative values does not.
Learn more about the domain and the range here:
brainly.com/question/21027387
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