Answer: 1. {-2, -3} 2. {-5, 5} 3. {-3, 5}
<u>Step-by-step explanation:</u>
1) First, factor the equation by finding two numbers whose product is 6 and sum is 5. Then apply the Zero Product Property by setting each product equal to zero and solving for m.
m² + 5m + 6 = 0
∧
1 + 6 = 7
2 + 3 = 5 This works!
(x + 2)(x + 3) = 0
x + 2 = 0 x + 3 = 0
x = -2 x = -3
2) Factor out the GCF of 5. Notice the remaining factor is the difference of squares (because the middle term is missing and the first and last terms are perfect squares. Then apply the Zero Product Property by setting each product equal to zero and solving for p.
5p² - 125 = 0
5(p² - 25) = 0
5(p +5)(p - 5) = 0
5 ≠ 0 p+ 5 = 0 p - 5 = 0
p = -5 p = 5
3) Factor out the GCF of 2. Factor the equation by finding two numbers whose product is -15 and sum is -2. Then apply the Zero Product Property by setting each product equal to zero and solving for x.
2x² - 4x - 30 = 0
2(x² - 2 - 15) = 0
∧
1 - 15 = -14
3 - 5 = -2 This works!
(x + 3)(x - 5) = 0
x + 3 = 0 x - 5 = 0
x = -3 x = 5
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Answer:
69
Step-by-step explanation:
because 34plus 35 will give you 69
Answer:
x= -20
Step-by-step explanation:
Answer:
100cubic inches
Step-by-step explanation:
varies inversely
pv = k
Find the constant of variation:
volume of 180 cubic inches under a pressure of 5 pounds
5 * 180 = k
k = 900
volume if the pressure is increased to 9 pounds per square inch?
9v = 900
divide both sides by 9
v = 100
It gives you an irrational number, a decimal. It's not a perfect square like
or
.
