Answer: 9. x=-3/2 10. x=2
x= 5/2 x=5/3
Step-by-step explanation:
9. Factor the equation:
How: put 4x^2 in the bottom left box and -15 in the upper right box.
then multiply 4x^2 x -15 = -60x^2 and put your answer in the top center box of the diamond.
Put the -4x from the equation in the bottom box. Then list out factors that multiply to the top box (-60x^2) and add to the bottom box (-4x) The two factors are -10 and 6
-10 x 6 = -60
-10 + 6 = -4
Put -12x and -5x in the remaining white boxes and find what numbers multiply to each.
I attached a picture. The colored dots correspond with each other.
Eg: Orange dot x orange dot = number in white square
Now you get the two factors (2x+3)(2x-5)
Set both of these equal to 0 and solve
0=2x+3 0=2x-5
x= -3/2 x= 5/2
Do the same for the other problem
Answer:
540 mins | 9 hours | 540, 9
420 mins | 7 hours | 420, 7
300 mins | 5 hours | 300, 5
180 mins | 3 hours | 180, 3
Step-by-step explanation:
1 hour = 60 mins
To convert hours into minutes, multiply the number of hours by 60 minutes:
9 hours × 60 mins = 540 mins
7 hours × 60 mins = 420 mins
5 hours × 60 mins = 300 mins
3 hours × 60 mins = 180 mins
the domain is all the real numbers, or (-infinite <x<infinite)
the range is y>=-4
axis of symetry is x= -1
vertex is (-1,-4)
the parabola opens upwards
x intercepts (-3,0) and (1,0)
y intercepts (0,-3)
One of them is 13 and the other is 28