Note: In option A, it should be "+" instead of "(".
Given:
The expression is
To find:
The equivalent expression.
Solution:
We have,
Using distributive property, we get
On combining like terms, we get
The expression is equivalent to the given expression.
Therefore, the correct option is A.
Answer:
f(x) = -1.18056x² +9.55556x -12.4604
Step-by-step explanation:
As required by the problem statement, technology was used to find the polynomial function that passes through the given points. The coefficients shown above are rounded to 6 significant figures. The exact coefficients appear to be ...
f(x) = (-1 13/72)x² +(9 5/9)x -(12 221/480)
Answer:
49
Step-by-step explanation:
Because there is a minus sign infront of x-3, we can convert x-3 into the negative form:
- * x
- * -3
-x + 3
Which gives us:
(-x + 3)(x + 11)
Now expand the brackets with the formula:
(a + b)(c + d) = ac + ad + bc + bd
-x * x = -x²
-x * 11 = -11x
3 * x = 3x
3 * 11 = 33
-x² - 11x + 3x + 33
-x² - 8x + 33
The formula for finding the x coordinate of a vertex in a quadratic equation is:
x =
Plug known variables in:
Now, to find the y coordinate, plug this variable back into the quadratic equation:
-x² - 8x + 33
y = 49
So the y coordinate of the vertex is 49.
Hope this helps!