Answer:
7x² + 5x
Dtep-by-step explanation:
(9x² + 8x) - (2x² + 3x)
9x² + 8x - 2x²- 3x
7x² + 5x
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!
Answer:
1/4 * 1/8 = 1/32 inch
Step-by-step explanation:
1/4 * 1/8 = 1/32inch
Let:
x = Pastries ordered
y = Cost of order

For each pastry Cole ordered, the cost of the order increased by a fixed amount of $1.55
Answer:
The area of a circle is given by the formula
area=πr2
we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:
r=diameter
2r=362
r=18
By substituting these values to the formula of a circle, we now have:
area= (3.14 ) (18) 2
area=1017.36
But since the window is a semicircle, the area will have to be divided in half, therefore,
area of a semicircle =1017.362
area of a semicircle = 508.68
Thus the window's area is equal to 508.68 sq in.