Answer:
Step-by-step explanation:
Given: Pauline withdrew $7.50 each day from her saving account.
She withdrew money for 3 days.
As Pauline is withdrawing the money, therefore the amount will be in negative
Now finding the expression for total amount of money withdrew.
Total money withdrew =
∴ Total money withdrew =
Hence, the expression to determine the total amount of money she withdrew is and Total money she withdrew is -$22.5
The equation would be (3+√-16)(6-√-64)
A negative square root can not be a real number, meaning that we have to use the imaginary number.
(3+4i)(6-8i)
How to multiply imaginary numbers...
Treat this like an equation looking like (x-a)(y-b)
Use FOIL
(3+4i)(6-8i)
= 18-24i+24i-32i²
= 18-32i² (i²= -1 because i= √-1)
= 18- (-32)
= 18 + 32
= 50
Answer:
Step-by-step explanation:
Three days + 6 hours has 24*3 + 6 = 78 hours
You need only set up a proportion
5850 / 78 = x / 24 Multiply by 24
24 * 5850 / 68 = x
1800 watt hours / day
You are given the information that he takes six lessons per week. First we will calculate the total lessons he could potentially take per year.
6 • 52 = 312
He could potentially take 312 lessons in one year.
Now that you know this information, you simply subtract the days he missed from that total.
312 - 5 = 307
Your final answer: Peter took 307 lessons during the year.
Because the coefficient of x^2 is -1, we know that a will be -1. Knowing that the coefficient of x is -4, we can calculate that p=2. Thus, we have -1(x+2)^2+q is our equation. This is equal to -x^2-4x-4+q. As the constant term must be 2, we can then see that q is 6.
As such, we have -1(x+2)^2+6=0 as our factorization.
To solve this equation, we can use the quadratic formula. Plugging in values, we have:
which is equal to: (when the fraction is simplified)