To find the zeros of this function, we must first set the entire function equal to 0
f(x) = x² - 2x - 15 = 0
Since this is a quadratic function, we must use the quadratic formula, which is:

Let's assign a, b, and c using our first function
x² means a = 1 (because it could be written as 1x²)
-2x means b = -2
-15 means c = -15
Now let's plug those in:

which simplifies to:

Simplified further:


And divide it by the 2 on the bottom gives us:

2+4 = 6
2-4 = -2
So the zeros of this function are
-2 and
6
C = 2m^2 + m
D = 2 - 6m + 2m^2
2C = 2(2m^2 + m) = 4m^2+2m
2D = 2(2-6m+2m^2) = 4-12m+4m^2
2C - 2D =
4m^2+2m-(4-12m+4m^2) =
4m^2+2m-4+12m-4m^2 =
0m^2 + 14m -4 =
14m - 4
Answer:
-10 > (-4x - 6) > -22
Step-by-step explanation:
Given inequality is 5 < 2x + 3 < 11
Now we will multiply this inequality by (-2) resulting,
5(-2) > (2x + 3)(-2) > 11(-2)
-10 > (-4x - 6) > -22 (Sign of inequality gets reversed when the inequality is multiplied or divided by a negative number)
Therefore, the possible range of (-4x - 6) is between -22 and -10.
In order to move a number that is multiplied or divided by the variable<span>, you must do the inverse to both sides. That means, if the number is multiplied, you must divide it by both sides. If it's divided, you must </span>multiply<span> it by both side. steps so that you can apply them to more complex </span>problems<span>.</span>
Hey!
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The opposite of -10 is 10.
Number line in image below.
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Hope This Helped! Good Luck!