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:
He should mix 25 liters of the 30% solution, and 35 liters of 60% solution.
Step-by-step explanation:
Answer: 25 cents
Step-by-step explanation:
24 ounces = 6 dollars. Divide 24 by itself to get 1 ounce. Then, divide 6 by 24 to get 25 cents.
R(x,y)=6x+8y (revenue as a function of x and y)
c=200 (cost is a constant)
p=1000 (profit that they wish to make)
Since profit equal revenue minus cost we can say:
1000=6x+8y-200 so the equation that must be satisfied is:
6x+8y=1200 of which we can factor out 2
3x+4y=600
IF no children can and there were only adults we would then be left with:
4y=600 divide both sides by 4
y=150
So 150 adults would have to attend to raise $1000.
The answer is number 2 hope this helped