Answer:
y< 5/6 - 7
Step-by-step explanation:
First, you have to send 5x to the other side so youĺl -5x and the equation will be -6y>-5x+42
Then, you divide the equation on the left side by -6 because youll want y by itself. Remember, when you divide by a negative, you flip the greater than/equal to sign. itll now be y<-5/6 - 7
done
Answer:
pi4
Step-by-step explanation: Formula is piD, diamter is 4, so pi4 which equals 12.56
Answer:
polynomial of degree 3
Step-by-step explanation:
Given
3x³ - 6x
The degree of a polynomial is given by the exponent of the term with the largest exponent.
In this case 3x³ has exponent 3 and - 6x has exponent 1
Thus this is a polynomial of degree 3
Length (L): w + 3 ⇒2(w + 3)
width (w): w ⇒ w - 1
Area (A) = L x w
A = (w + 3)(w)
A = w² + 3w
*******************************************
A + 176 = 2(w + 3)(w - 1)
(w² + 3w) + 176 = 2(w + 3)(w - 1)
w² + 3w + 176 = 2w² + 4w - 6
3w + 176 = w² + 4w - 6
176 = w² + w - 6
0 = w² + w - 182
0 = (w - 13) (w + 14)
0 = w - 13 0 = w + 14
w = 13 w = -14
Since width cannot be negative, disregard -14
w = 13
Length (L): w + 3 = (13) + 3 = 16
Answer: width = 13 in, length = 16 in
This is a compound interest problem so you cannot use the simple interest formula. Effectively the total amount is being compounded each year by 6%. There is a formula for compound interest but in this simple example you can work this out recursively.
year 1 = 6500
year2 = 6500*1.06 = 6890
year3 = 6890*1.06 = 7303
year4 = 7303*1.06 = 7741..
etc......
year12 = 11604*1.06 = 12338
