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
***************************************************
You are allowed a maximum of 3 questions.
Try #4 and #5 on your own. If you still need help with them, please create a new question and post them.
99 because if you add 78+99+95+86 you get 356 and 356+99 is equal to 455 and 455 divided by 5 is 91.
Answer:
the thired grap.
Step-by-step explanation:
it is for the test i toke
If I’m not mistaken it’s $22.74 I apologize if I’m wrong.
Answer:
53
Step-by-step explanation:
if f(a)= -11 the the equation is: 20-3(-11)
First, multiply -3 and -11:
20-3×(-11)
20+33
Now, add:
20+33= <u>53</u>
<u></u>
Hope this helps!! <3
