48 x 62 = 2978
Problem 4 = V = 6 x 4 x 2 = 48cubic feet
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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Try #4 and #5 on your own. If you still need help with them, please create a new question and post them.
Answer:
<h2>There 2 x-intercepts can have for a quadratic function.</h2>
Step-by-step explanation:
X-intercepts means, the value of y is 0.
For any function, x-intercepts mean the set of values of x, for which y = 0.
A quadratic function means a polynomial of degree 2.
The degree of any polynomial determines the number of x-intercepts of the polynomial.
Since, the quadratic function is a polynomial of degree 2, it has 2 x-intercepts.