Answer:
A
Step-by-step explanation:
x² + 10x + 24 = 0
Here, a = 1, b = 10, c = 24. Factoring using the AC method:
ac = 1×24 = 24
Factors of 24 that add up to 10 are +4 and +6.
Therefore:
(x + 4) (x + 6) = 0
x + 4 = 0, x + 6 = 0
x = -4, x = -6
The roots are -4 and -6. Added together:
-4 + -6 = -10
Answer A.
Answer:
(1)
Step-by-step explanation:
We will try:
(1) y = 
x => 2 = 2 (seems legit)
(2) y = 4x => 2 = 32 (nope)
(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)
(4) y = 
x - 2 => 2 = 2 (like the above)
Answer:
315
Step-by-step explanation:
If i understand this correctly, you just need to get the volume of the box and divide it by the volume of the 1/2 cube to see how many will fit.
# 1/2in cubes = (5.25 * 3 * 2.5)/(0.5 * 0.5 * 0.5)
# 1/2in cubes = (39.375)/(0.125) = 315
Answer:
2 = 2 (Identity)
Step-by-step explanation:
1/3 (x+2)=-2/5 (x-9) and x=4
Follow distributive property
1/3x + 2/3 = -2/5x + 18/5
Replace x for 4
1/3(4) + 2/3 = -2/5(4) + 18/5
4/3 + 2/3 = -8/5 + 18/5
Add like terms
6/3 = 10/5
Simplify
2 = 2
Also known as Identity
-- Driving at 30 mph for 20 minutes (1/3 hour), you cover 10 miles.
-- Walking at 3 mph for 10 minutes (1/6 hour), you cover 0.5 mile.
-- Average speed = (total distance covered) / (time to cover the distance)
= (10.5 miles) / ( 1/2 hour)
= 21 miles per hour.
