Answer: q = 40
Step-by-step explanation:
Given the quadratic formula as
x = [-b +/-√(b^2 -4ac)]/2a
b = -14
a = 1
c = q
Difference d between the two roots.
d = [-b + √(b^2 -4ac)]/2a - [-b -√(b^2 -4ac)]/2a
d = 2√(b^2 -4ac)/2a
d = √(b^2 -4ac)/a
And d = 6
Substituting the values of a,b and c. We have;
6 = √[(-14^2) - (4×1×q)]
Square both sides
6^2 = 196 - 4q
4q = 196 - 36
q = 160/4
q = 40
The equation becomes
x^2 - 14x + 40 = 0
Answer:
Step-by-step explanation:
The total sold is the sum of the individual numbers sold, hence c+h.
We assume "3 times more" means "3 times as many", so the number of hotdogs sold (h) is 3 times the number of cheeseburgers sold (c), hence 3c.
c + h = 220
h = 3c
_____
55 cheeseburgers and 165 hotdogs were sold.
Since the big triangle is an isosceles one, we conclude that the angles of the left triangle are: 32, 90 and 3x-10. Sinche the sum of this angles have to be 180° we have:
Solving for x, we have:
Therefore, x=22.67 and the answer is A.
Conversions:
1 yard = 36 inches
The store only sells fabric by the by the quarter yard.
<h2><u><em>
The yellow fabric: 450/36 = 12.5 square yards</em></u></h2><h2><u><em>
The blue fabric: 478/36 is around 13.3 square yards</em></u></h2>
Total Amount: 12.5+13.3=
<h2><u><em>
25.8 square yards</em></u></h2>
C. Wich mean she worked 5 hours and half an hour (0.5)
