Answer:
Step-by-step explanation:
x+i*y≠0 ==> x≠0 and y≠0
x-i*y≠0 ==> x≠0 and y≠0
We must exclude (0,0) as solution.
Y= 32+33x where y is the amount charged and x is the time in hours
197=32+33x
165=33x
5=x
Final answer: 5 hrs
Answer:
A cup of yogurt has 175 calories.
Step-by-step explanation:
We can solve for the amount of calories in one cup of yogurt and in one banana by setting up and solving a system of equations. Given the information in the problem '2 cups of yogurt and 3 bananas is 650 calories' and '4 cups of yogurt and 2 bananas is 900 calories' we can set up two equations:
2y + 3b = 650 and 4y + 2b = 900, where 'y' is the cups of yogurt and 'b' is the number of bananas.
Using elimination, we can multiply the first equation by a factor of '-2' and then add the equations together to solve for the remaining variable:
-2(2y + 3b = 650) = -4y - 6b = -1300
-4y - 6b = -1300
<u>+ 4y + 2b = 900</u>
-4b = -400, or b = 100, so each banana has 100 calories, if each banana has 100 calories: 4y + 2(100) = 900 or 4y = 700 or y = 175. So, each cup of yogurt has 175 calories.
Answer:
(x - 10)(x - 2) = 0, x = 10, 2
Step-by-step explanation:
x² - 12x = -20
Add 20 to both sides.
x² - 12x + 20 = 0
To complete the square, find values that add up to the middle coefficient and multiply to the final number. In this case, -10 and -2 add to -12 and multiply to 20.
(x - 10)(x - 2) = 0
Now solve each individual pair.
x - 10 = 0
x = 10
x - 2 = 0
x = 2
Answer:
4 seeds in each row
Step-by-step explanation:
12/3=4
