Answer:
(-4, 0) U (1, ∞)
Step-by-step explanation:
Set each factor EQUAL to zero to find the zeroes (since it is not actually equal to zero, you will use an open circle when graphing and an open bracket when writing in interval notation).
x = 0 x-1 = 0 x + 4 = 0
x = 1 x = -4
Next, choose a value to the far left, between each of the zeroes, and to the far right to evaluate if it makes a true statement when input into the given inequality.
far left (I choose -5): -5(-5 - 1)(-5 + 4) > 0 → (-)(-)(-) > 0 → negative > 0 FALSE
- 4 to 0 (I choose -2): -2(-2 - 1)(-2 + 4) > 0 → (-)(-)(+) > 0 → positive > 0 TRUE
0 to 1 (I choose 0.5): .5(.5 - 1)(.5 + 4) > 0 → (+)(-)(+) > 0 → negative > 0 FALSE
far right (I choose 2): 2(2 - 1)(2 + 4) > 0 → (+)(+)(+) > 0 → positive > 0 TRUE
110
2 and 5 are prime and thus share no common factors. The lowest common multiple of 2 and 5 is therefore 2 x 5 = 10.
Your answer must be a multiple of 10 and there is only one answer in that range that fits.
Double-check:
110 / 2 = 55 r. 0
110 / 5 = 22 r. 0
Answer:
50 fish
Step-by-step explanation:
80% 40 fish :8
10% 5 fish x10
100% 50 fish
Answer:
√ x 12 = x 6 (or possibly − x 6 if you want to include the non-principal square root)
Answer:
B
Step-by-step explanation:
∠1 = ∠ 4
corresponding angles are congruent