Step-by-step explanation:
2.5x+12=32
We move all terms to the left:
2.5x+12-(32)=0
We add all the numbers together, and all the variables
2.5x-20=0
We move all terms containing x to the left, all other terms to the right
2.5x=20
x=20/2.5
x=8
Since n=5, take the 6th row of Pascal Triangle: (a+b)⁵:
(a+b)⁵ = a⁵+5a⁴b+10a³b²+10a²b³+5ab⁴+b⁵.
But a= 2x and b=y, plug in:
(2x)⁵ + 5(2x)⁴y + 10(2x)³y² + 10(2x)²y³ + 5(2x)y⁴ +y⁵
32x⁵ + 80x⁴y +80x³y² + 40x²y³ + 10xy⁴ + y⁵
The 3rd term has a:
coefficient = 80
power of x= 3
power of y =2
Answer:
Domain: {4,5,7,10}
Range: {2,4,8}
Not a function
Step-by-step explanation:
The domain is all the x-values.
The range is all the y-values.
However, this isn't a function because two different inputs have the same output. If it were a function, there would be one unique output for every input.
I = PRT is the formula to use for this.
I = (1900)(.11)(5)
I = 1045
1900 + 1045 = 2945
I need to pay $2945 for the refrigerator.
