Answer:
Option b is correct.
Step-by-step explanation:
From the given condition : Seven less than the quotient of a number, x, and twelve is five times the number.
Here, the number is x
The quotient of a number x and twelve is expressed as ,
Seven less than the quotient of a number, x, and twelve is expressed as,
Five times the number mean,
Therefore, we have an equation in the form of <em>x</em> from the given condition as:
.
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!