Answer:
Statements 3, 4 and 5 are true.
Step-by-step explanation:
x^2 - 8x + 4
Using the quadratic formula:
x = [ -(-8) +/- √((-8)^2 - 4*1*4)] / 2
= (8 +/- √(64 - 16)) / 2
= 4 +/- √48 / 2
= 4 +/- 4√3/2
= 4 +/- 2√3.
So the third statement is true.
Converting to vertex form:
x^2 - 8x + 4
= (x - 4)^2 - 16 + 4
= (x - 4)^2 -12
So the extreme value is at (4, -12)
So the fourth statement is true.
The coefficient of the term in x^2 is 1 (positive) so the graph has a minimum.
Answer:
x = -3
Step-by-step explanation:
(x - 2)^3 + 13 = -112
Subtract 13 from both sides
(x - 2)^3 = -125
Take the cube root of both sides
x - 2 = -5
Add 2 to both sides
x = -3
Answer:
10 + 6 + 20 = 36 / 3 = 12.
Step-by-step explanation:
The you started studying statistics and all of a sudden the “average” is now called the mean. What happened? The answer is that they are.
a) plug in x =2700 into the given equation and solve for y
b) plug in y = 43 into the given equation and solve for x
c) plug in y = 0 into the given equation and solve for x
hope this helps.
Answer:
The surrender of Detroit
Step-by-step explanation:
The other two were american victories, the surrender of Detroit was a Indian/British victory and an early one in the war