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!
The mean is the average of the numbers.
It is easy to calculate: add up all the numbers, then divide by how many numbers there are.
Let the number of sit-ups you have to do Sunday be x. Then the sum of all sit-ups is
100+65+120+150+90+0+x=525+x.
The number of days is 7.
Thus, the mean is

You know that the mean number of sit-ups per day is 100, equate these two means and solve the equation:

Answer: 175 sit-ups
Answer:
22
Step-by-step explanation:
Answer:4/5
Step-by-step explanation:
2/15 + 10/15=12/15=4/5
easy right?
Answer:
x=111
Step-by-step explanation:
the sum of angles of triangle is 180
find te missing angle in the triangle first :
180-29-82=69
find x now: the measure of straight angle is 180:
x+69=180
x=180-69=111
this one way to find x
another way is that x=82+29=111