Answer:
y = 6 or 8
Step-by-step explanation:
1. Subtract the constant:
y^2 -14y = -48
2. Add the square of half the y-coefficient:
y^2 -14y +49 = -48 +49
Write as a square, if you like:
(y -7)^2 = 1
3. Take the square root:
y -7 = ±√1 = ±1
4. Add the opposite of the constant on the left:
y = 7 ±1 = 6 or 8
The solution is y = 6 or y = 8.
Locate 1 on the x axis. This is the horizontal number line.
Draw a vertical line through 1 on the x axis. Extend this vertical line as far up and down as you can.
Notice how the vertical line crosses the blue curve. Mark this point. Then draw a horizontal line from this point to the y axis. The horizontal line will touch -4 on the y axis. So that means the point (1,-4) is on the curve.
If the input it is x = 1, then the output is y = -4
So that's why the answer is choice A
1) First find the multiplier.
Look at the 0 and 1st term you have 5 as the 0 and 3 as the 1st term.
2)Ask how do we get from 5 to 3?
- We subtract 2 so the multiplier is -2
3)Lets make a linear equation: y=mx +b
- m= multiplier or slope
- x= Just equals x value
- b= your starting value or the 0 term which is 5
4)Use the values that you have to create your equation.
Note:For the x value just plug in the x value from your table.
Ex.
The 0 in the number 402 is in the ten place. The number after it is 2. 2 is less than 5.
402 rounded to the nearest ten is 400
The 4 in the number 402 is in the hundreds place. The number after it is 0. 0 is less than 5.
402 rounded to the nearest hundred is 400
This seems to look like a factoring question. When factoring, one must know that the second number is the sum of the two values multiplied by x, and the third number is what happens when one multiplies those two numbers. Using these definitions, one can conclude that the correct answer is (x-8)(x+3)
