Vietas formula tells us that the product of our two roots is equal to the constant term of a quadratic over the leading coefficient, so:
[tex] r_1r_2=-\frac{-10}{2} \implies 5*r_1=-5 \implies r_1=-1[\tex]
It also tells us that the b term in our quadratic is equal to the negative of the sum of the terms divided by the leading coefficient, so:
[tex] r_1+r_2=-\frac{b}{2} \implies 4=-\frac{b}{2} \implies b=-8 [\tex]
So, one of our roots is 5, the other is -1, and our b value is 8.
Answer:
69 weeks
Step-by-step explanation:
Let the number of weeks be x.
The first tank holds 621 gallons is leaking at a rate of 4 gallons per week. This means that after x weeks, the amount of water in the tank is:
621 - 4x
The second tank holds 828 gallons is leaking at a rate of 7 gallons per week. This means that after x weeks, the amount of water in the tank is:
828 - 7x
After a certain amount of weeks, the amount of water in both tanks is the same. That means that:
621 - 4x = 828 - 7x
=> 7x - 4x = 828 - 621
3x = 207
x = 207 / 3 = 69
This means that the amount of water in the tank will be the same after 69 weeks.
Answer:
okok so the answer is
Step-by-step explanation:
45.55+30=74.55
0.27 * 168=45.36
45.36+30=75.36
So he can drive 168 miles each day at most to stay within his budget.
Hope this helps :)
Let's assume that the total daily allowance of fat is given, otherwise let's just assign a variable for it.
We can make the formula based on the given data.
Percentage = Total daily allowance of fat given / total intake of fat per day * 100
So, the equation Percentage = Total / 48 * 100 will be used in order to get the percentage of the total amount.
4/5n – 1/5 = 2/5n
Add 1/5 to both sides
4/5n = 2/5n + 1/5
Subtract 2/5n from both sides
2/5n = 1/5
Divide both sides by 2/5
n = 1/2
