Hi there!
We are given the equation w² + 7w + 12 = 0, and we are told to solve it. Well, we can first take all the factors of 12 -
1 12
2 6
3 4
Now, take the sum of each factor pair -
1, 12 = 13
2, 6 = 8
3, 4 = 7
Find which factor pair adds up to 7, and we can see that 3 and 4 add up to seven, while also having a product of 12. Therefore, since the whole equation has addition signs, we can factor the equation w² + 7w + 12 into (w + 3)(w + 4) = 0. Next, using the Zero Product Property, we can set each term to zero.
w + 3 = 0
w = -3
w + 4 = 0
w = -4
Therefore, the solution to the equation w² + 7w + 12 = 0 is w = -3, -4. Hope this helped and have a great day!
Answer:
<em>5,078.401 </em>
Step-by-step explanation:
5,000 + 70 + 8 + 0.4 + 0.001 = <em>5,078.401</em>
Notice that <em>f(x)</em> is only defined over the intervals 0 ≤ <em>x</em> < 3 and 3 < <em>x</em> ≤ 6; that is, all real numbers <em>x</em> between 0 and 3, and between 3 and 6, but <u>not including 3</u>. Since there is no definition for <em>f(x)</em> at <em>x</em> = 3, the value of <em>f</em> (3) is undefined.
D because i did this alreadyyy