Answer: a) x = 5 or -1 b) x = √3+2
c) x = -1/2 or -3/2
Step-by-step explanation:
a) (x − 2)² = 9
First step is to take the square root of both sides to eliminate the square
√ (x − 2)² = √9
x-2 = +-3
x = +3+2
x = 5 and;
x = -3+2
x = -1
x = 5 or -1
b) 3(x-2)² = 9
First we divide both sides by 3 to get;
(x-2)² = 9/3
(x-2)² = 3
Second step is to take the square root of both sides to eliminate the square
√(x-2)² = √3
x-2 = √3
x = √3+2
c) 6 = 24(x+1)²
Dividing both sides by 24, we have
6/24 = (x+1)²
1/4 = (x+1)²
Taking the square root of both sides we have
√1/4 = √(x+1)²
= +-1/2 = x+1
x = +1/2-1 = -1/2 and;
x = -1/2-1 = -3/2
x = -1/2 or -3/2
Answer:
74 degrees
Step-by-step explanation:
As sum of interior and exterior at a vertex add to 180, subtract 106 from 180 to get 74 degrees
Debt is negative dollars, which means she owes at least 25 dollars to the department store
her balance is -25.00 + x
hope this helps
or -25 >x
Answer:
B) 2 frozen dinners and 2 dozen jelly doughnuts
Step-by-step explanation:
Calculate the total utility for each option.
A) 46
B) 32 + 21 = 53
C) 16 + 30 = 46
D) 28
Option B has the highest total utility.
Your ratio is 6:5
This means that it is 6/5.
You have to find a common number to either divide or multiply that can work for both the numerator and denominator.
6/5 doesn't have any common number to divide without getting a remainder
But we can multiply by a common number such as 2
6×2 = 12
5×2 = 10
= 12/10. ☆= the ratio is 12 : 10
or even by 3, =the ratio 18:15
