Answer:
x = 4 or x = (-3)/2
Step-by-step explanation:
Solve for x over the real numbers:
2 x^2 - 5 x - 12 = 0
x = (5 ± sqrt((-5)^2 - 4×2 (-12)))/(2×2) = (5 ± sqrt(25 + 96))/4 = (5 ± sqrt(121))/4:
x = (5 + sqrt(121))/4 or x = (5 - sqrt(121))/4
sqrt(121) = sqrt(11^2) = 11:
x = (5 + 11)/4 or x = (5 - 11)/4
(5 + 11)/4 = 16/4 = 4:
x = 4 or x = (5 - 11)/4
(5 - 11)/4 = -6/4 = -3/2:
Answer: x = 4 or x = (-3)/2
-12+8x+2x=2x-8
10x-12=2x-8
8x=4
x=1/2
C
Answer:
It's an angle bisector and it was found using a compass
Step-by-step explanation:
First you use the compass to make a marking in the angle
Then you move the compass to the D and make another marking after that you move the compass to E (Make sure to use the same compass setting) and make a marking that intersects with the marking of D which creates F. Last you use a straight edge to make the angle bisector of ABC. (Sorry if you don't understand this it was difficult for me to explain)
Let x and y be the number of pounds of apples and peaches, respectively. With this representation, two equations are generated.
(1) x + y = 165
(2) 1.75x + 2.50y = 337.50
Simultaneously solving for the values of x and y gives an answer of x = 100 and y = 65. Thus, Mo sold 65 pounds of peaches.