Andre says 10x + 6 and 5x + 11 are equivalent because they both equal 16 when x is 1. Do you agree with Andre?
1 answer:
Answer:
No, They are not equivalent
Step-by-step explanation:
The two expressions are only said to be equivalent if they are the same regardless of whatever value the variable(s) is.
The variable in this question is x.
To prove this, we equate both expressions:
This shows that they have the same value ONLY when x is 1.
This is why Andre says that they are equivalent, but they are not.
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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
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