Any equation with y=# will be parallel to x-axis since it has a slope of zero and will make a horizontal line.
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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When there's a strong positive, the points are: B. Close together.
<h3>Strong Positive Relationship</h3>
- On a scatter plot, if the data points are close together along the trend line sloping upwards, it means there's a strong positive correlation.
- Strong positive correlation means the two variables change in the same direction.
Therefore, when there's a strong positive, the points are: B. Close together.
Learn more about strong positive relationship on:
brainly.com/question/15552860
64 - (13 - 7) = 64 - 6 = 58
The answer would be:
8 × 4 = 32
32 ÷ 4 = 8