Answer:
Let the Width(W) =X feet
then Length(L) = (2X-3)feet
Area of the rectangle (A)=77 square feet
A = L× W
L×W=A
(2X-3) × X = 77
2X²- 3X =77
2X²-3X -77=0
Solving it using the factorization method
2X²-14X+11X-77=0
(2X²-14X)+(11X-77)=0
2X(X-7) + 11(X-7)=0
(2X+11)(X-7) =0
When 2X+11=0
X= -11/2
When X-7=0
X = 7
Therefore X= 7
Width = X feet
= 7feet
The width is 7feet
Length = (2X-3)feet
= (2×7) -3)feet
=(14-3)feet
=11feet
I'm guessing your problem is this:
y³ - 9y² + y - 9 = 0
right?
In solving this problem, I recommend doing this:
y³ - 9y² + y - 9 = 0
Factor out a y² from the first two numbers in the problem:
y²(y - 9) + (y - 9) = 0
Separate the parentheses which means y - 9 goes on one side. The y² added a one since it came from the + 1 in the middle of expression. When you're separating parentheses like this you just take the outside numbers and combine them together. Since + 1 came from the outside of the (y - 9) and y² also was sitting on the outside of (y - 9) combine them to make y² + 1. Like this:
(y² + 1)(y - 9) = 0
Now separate your two parentheses to two separate problems:
(y² + 1) = 0 and (y - 9) = 0
Now you're y² + 1 will equal:
y² = -1
y = √-1 <-- This number doesn't exist so it will be an imaginary number (i). If you guys didn't learn that in your class I recommend just leaving it as i for that part.
Now solve y - 9 = 0:
y = 9 <-- Since we added nine to both sides to get this.
So you're final answer should be y = i and 9
Upper Tolerance
Remark
The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.
Solution
<u>Upper Limit</u>
Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4
Which results in
With a final result for the fractions of 45/64
So the upper tolerance = 3 45/64
<u>Lower Tolerance</u>
Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.
Your answer should be 3 and 43/64
Answer:
900 yards
Step-by-step explanation:
540/3=180
180x5=900
Answer:
4) divide, 5) multiply, 5) divide
Step-by-step explanation:
4) you need to divide to determine the length each individual ribbon will be
5) you need to multiply the price of one shirt by three to find the price of three shirts
6) you need to divide the amount of dog food the dog will eat each day by the amount of dog food to see how many days the food will last.
