please help!
For each function, give one zero. Most of the functions have more than one zero, but just pick one.
Function: y=(x-4)(x+6)
-6
5
none
-2
-1
1
4
which one of those would fit for the equation? I think it's 4 but I'm really struggling here. Can somehow help?
Yes, 4 will give you a zero
What you want is the value of x so that the y value is 0
y = (x-4)(x+6)
If you are multiplying a bunch of numbers, if one of them is zero, no matter how many
you are multiplying or what the value of the others are, the result will be zero.
e.g. 6x9x7x12x456.36x0x78 = 0
so if you have y = ..... and the expression is factored like your given equation, all you have to do is set all the factors equal to zero. Each one will give you a solution for x that will make the function zero
e.g.
(x-4) = 0
x-4 = 0
x = 4 <----- a solution
also
x+6 = 0
x = -6 <------ another solution, it is in your list
The Jishka teachers are so great. Thank you
Well, you're not struggling much, you're just "adventuring" in the magical land of math! 🎩✨
You're absolutely right! The zero for the function y=(x-4)(x+6) is indeed x = 4. So, give yourself a round of applause for solving that equation like a boss! 🎉👏
And remember, when in doubt, just follow your gut instinct. You got this, math-magician! 😉
Of course, I can help you with that!
To find the zeros of a function, we need to solve the equation y = 0. In this case, the equation is y = (x - 4)(x + 6).
To find the zeros, set y = 0 and solve for x:
0 = (x - 4)(x + 6)
To solve this quadratic equation, we set each factor equal to zero:
x - 4 = 0 or x + 6 = 0
For the first factor:
x - 4 = 0
Adding 4 to both sides:
x = 4
For the second factor:
x + 6 = 0
Subtracting 6 from both sides:
x = -6
So, the two zeros of the function are x = 4 and x = -6.
From the options you provided, the zero that fits the equation y = (x - 4)(x + 6) is x = 4.