Answer:
-4x - 3 = -8
Step-by-step explanation:
On our left, we have -x in 4 places = 4(-x) = -4x
And on the left, we also have -1 in 3 places = 3(-1) = -3
Altogether in our left, we have: -4x +(-3)
That is: -4x - 3
On our right, we have -1 in 8 places, which is 8(-1) = -8
Therefore, the equation that represents the model would be:
-4x - 3 = -8
Answer:
1.91/9
Step-by-step explanation:
x=0.212121212........ .........1 equation
10x=2.12121212......... ........2 equation
1 equation - 2 equation
9x=1.91
x=1.91/9
therefore 0.212121.....=1.91/9
Answer:
C. x = 3, y = -6
Step-by-step explanation:
You can divide the second equation by 2. Then you have ...
x +2y = -9
This gives you a couple of choices for solution. The x-coefficients match, so subtracting one equation from the other eliminates x:
(x +2y) -(x -2y) = (-9) -(15)
4y = -24 ⇒ y = -6
Adding the two equations eliminates y:
(x -2y) +(x +2y) = (15) +(-9)
2x = 6 ⇒ x = 3
The solution is (x, y) = (3, -6).
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<em>Additional comment</em>
I find it quick and easy to use a graphing calculator to find the solution. Many graphing calculators also make it simple to solve systems of equations in matrix form. Either way, you can obtain a solution in little more than the time it takes to enter the equations (or their coefficients).
Answer: 3 ft 8 in
<u>Step-by-step explanation:</u>
The sum of their wingspan is the circumference of the tree.
Use the formula: C = πd to find the diameter (d) of the tree.
5'6" + 6' = 11'6" = 11.5 ft
11.5 ft = πd → 11.5/π = d → 3.66 ft = d
Next, convert the decimal (feet) into inches

which means the decimal of .66 ft rounds to 8 in
⇒ d = 3 feet 8 inches (3' 8")