Answer:
34
Step-by-step explanation:
3*(2*2*2)+10
3*(8)+10
24+10
34
Answer:
minimum at (2, - 2 )
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
If a > 0 then the vertex is a minimum
If a < 0 then the vertex is a maximum
Given
f(x) = 2x² - 8x + 6 ← factor out 2 from the first 2 terms
= 2(x² - 4x) + 6
To complete the square
add/ subtract ( half the coefficient of the x- term)² to x² - 4x
f(x) = 2(x² + 2(- 2)x + 4 - 4) + 6
= 2(x - 2)² - 8 + 6
= 2(x - 2)² - 2 ← in vertex form
with vertex = (2, - 2) and a > 0
Thus minimum at (2, - 2 )
Answer:
I believe this is pathgorean theorem, which I did at the beginning of alegbra last year. It is basically finding the missing side of a triangle. (Trust me some of the easiest stuff you do all year) Below are my notes from last year. I hope it helps! Good Luck!!!
Step-by-step explanation:
Given two sides
If you know two other sides of the right triangle, it's the easiest option; all you need to do is apply the Pythagorean theorem:
a² + b² = c²
if leg a is the missing side, then transform the equation to the form when a is on one side, and take a square root:
a = √(c² - b²)
if leg b is unknown, then
b = √(c² - a²)
for hypotenuse c missing, the formula is
c = √(a² + b²)
Slope: 5/1 (5 if simplified)
y-intercept: 10
The number -49 is less because it's farther away from the zero. -41 is closer to zero than -49. Try it out on a number line!