A. -23
If 7x plus 3 equals 24, X equals 3. -5 minus 6 time X(3) equals -23.
We know that
the equation of the parabola is of the form
y=ax²+bx+c
in this problem
y=1/4x²−x+3
where
a=1/4
b=-1
c=3
the coordinates of the focus are
(-b/2a,(1-D)/4a)
where D is the discriminant b²-4ac
D=(-1)²-4*(1/4)*3-----> D=1-3---> D=-2
therefore
x coordinate of the focus
-b/2a----> 1/[2*(-1/4)]----> 2
y coordinate of the focus
(1-D)/4a------> (1+2)/(4/4)---> 3
the coordinates of the focus are (2,3)
Answer: 9 1/3 minutes
First create an equation with the given information; with x being the commercial time, 30=3x+2, now solve for x. First subtract 2 from each side and get 28=3x and then divide each side by 3 to get 9 and 1/3 minutes.
Answer: 136 ounces
Step-by-step explanation:
Given: The ratio of cranberries and raspberries is 8:9 .
Let quantity of cranberries= 8x , quantity of raspberries = 9x
If quantity of cranberries = 64 ounces

Quantity of raspberries = 9(8) = 72 ounces
Total quantity = 64 ounces + 72 ounces = 136 ounces
Hence, the total weight of berries purchased= 136 ounces