Answer:
3
Step-by-step explanation:
You divide 27 ÷ 9 = 3 I believe
<h3>
Answer: x = 3 and x = -3</h3>
===================================================
Explanation:
We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus
x^2 - 9 = 0
x^2 = 9
x = sqrt(9) or x = -sqrt(9)
x = 3 or x = -3
To check these answers, you replace x with those values we found. I'll show you how to check x = 3
x^2 - 9 = 0
(3)^2 - 9 = 0
9 - 9 = 0
0 = 0
So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.
------------------
Another method you could do is to use the difference of squares rule
x^2 - 9 = 0
x^2 - 3^2 = 0
(x - 3)(x + 3) = 0
Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x
x-3 = 0 or x+3 = 0
x = 3 or x = -3
We end up with the same solution set.
Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.
Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.
<h3>
Answer is -3</h3>
How I got that answer:
The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.
m = (y2 - y1)/(x2 - x1)
m = (2 - (-4))/(-2-0)
m = (2 + 4)/(-2-0)
m = 6/(-2)
m = -3
A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.
Answer:
Bedroom 1 and 2
Step-by-step explanation:
The area of Bedroom 1 is 121, which is less than 132.
The area of Bedroom 2 is 120, which is also less than 132.
The area of Bedroom 3 is 169, which is more than 132.