Answer:
x = -2; or x = -8
Step-by-step explanation:
Solve the quadratic function by completing the square. What are the missing pieces in the steps? -32=2(x^2+10)
-32+___=2(x2+10x+25)
18=2(x+5)^2
9=(x+5)^2
+-___=x+5
X=-2 or x=___
Solution:
From the first line:
-32+___=2(x2+10x+25)
Also, in the second line:
18=2(x+5)^2
Let the missing piece on line 2 be a, hence:
x² + 10x + 25 = (x + 5)² and -32 + a = 18
a = 18 + 32 = 50
-32 + 50 =2(x²+10x+25)
18 = 2(x+5)²
Dividing through by 2:
18 / 2= [2(x+5)² / 2]
9 = (x + 5)²
Taking square root of both sides:
√9 = √(x + 5)²
± 3 = x+5
Simplifying the equation to get:
3 = x + 5; -3 = x + 5
x = 3 - 5; or x = -3 - 5
x = -2; or x = -8
Answer:
The lines moves lower.
Step-by-step explanation:
The steepness of a line is related to the slope, m.
b is the y-intercept, not the slope.
b is where the line intersects the y-axis.
Changing b changes the vertical position of the line.
Answer: The lines moves lower.
Answer:
10 - 2n - 4
Step-by-step explanation:
The product of n and 2 is 2n.
Then 10 - 2n is the difference of 10 and the product of n and 2.
In conclusion, we have:
10 - 2n - 4
