Answer: using the discriminant to find the number of solutions to a quadratic equation b^2-4ac. positive discriminant indicates that the quadratic has <u>two distinct real number solutions.</u> The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set f (x) = 0, and solve the equation, ax2 + bx + c = 0.
Step-by-step explanation:
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Answer:
x= -19
Step-by-step explanation:
3-(x-3)=25
Distributive property to cancel out the paranthesis
3-x+3=25
Add the number
6-x=25
Subtract 6 on both sides
-x=19
Divide by -1 on both sides so the x to eliminate the negative sign
x=-19
Answer:

Step-by-step explanation:
difference of a number and 9 means to subtract

twice that means multiply by 2

at least is greater than or equal to

When you roll two numbers you have four kinds of outcomes: EE, EO, OE, OO (where E = even, O = odd).
You get an even sum only if you sum two numbers that are both even or both odd, therefore the outcomes wanted are two: EE and OO.
Therefore:
P(sum is even) = 2 / 4 = 0.5
Hence, there is a 50% probability that, when you roll two numbers, their sum will be even.