Answer:
n = 2 or n = 3/2 thus A. is the Answer
Step-by-step explanation:
Solve for n:
2 n^2 - 7 n + 6 = 0
The left hand side factors into a product with two terms:
(n - 2) (2 n - 3) = 0
Split into two equations:
n - 2 = 0 or 2 n - 3 = 0
Add 2 to both sides:
n = 2 or 2 n - 3 = 0
Add 3 to both sides:
n = 2 or 2 n = 3
Divide both sides by 2:
Answer: n = 2 or n = 3/2
Answer:
585 miles
Step-by-step explanation:
Answer:
(x+16)²+(y-30)²=1156
Step-by-step explanation:
We have given:
center at (-16,30). It means h = -16 and k=30
and it passes through the origin (0,0)
Thus the radius will be distance between (-16,30) and (0,0)
r=√(-16 - 0)²+(30-0)²
r=√256+900
r²=(√1156)²
r²=1156
Now apply standard equation of circle:
(x-h)²+(y-k)² = r²
(x+16)²+(y-30)²=1156
Thus the equation is (x+16)²+(y-30)²=1156 ....
Answer:
For this scenario, I used the elimination method. Organize the equations, so it's easier to subtract from each other. My x-variable will represent the number of hot dogs and my y-variable will represent the number of sodas.
3x+2y=213
x + y =87
We need to make sure one of the monomials are alike in each equation, so we can eliminate a variable. Distribute 3 to each number/variable in the second equation.
3x+2y=213
3(x+y=87) --> 3x+3y=261
Now we can eliminate x.
3x+2y=213
- 3x+3y=261
----------------------
-y=-48
Divide -1 to both sides to get y=48. So, you sold 48 cans of soda. Now, we can find the number of hot dogs by substituting 48 into the second equation to get x+48=87. Subtract 48 to both sides to result with x=39. So, you sold 39 hot dogs.
