Answer:
A.
Step-by-step explanation:
When you simplify (a - b)(a^2 - ab + b^2) you end up a^3 - b^3, instead of a^3 + b^3. The rest all work out.
Answer:
I know that
Step-by-step explanation:
the point is (0,2) and the slope is 1/2
Answer:
Step-by-step explanation:
1) (-6 , 2) ; (3 , -5)
Slope = 
![= \frac{-5-2}{3-[-6]}\\\\= \frac{-5-2}{3+6}\\\\= \frac{-7}{9}\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-5-2%7D%7B3-%5B-6%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-5-2%7D%7B3%2B6%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-7%7D%7B9%7D%5C%5C)
m = -7/9 ; (-6 , 2)
y - y₁ = m(x -x₁)
y - 2 = (-7/9)(x - [-6])
2) (3 , -4) ; m= 3
)
y - [-4] = 3(x - 3)
y + 4 = 3x - 3*3
y + 4 = 3x - 9
y = 3x - 9 - 4
Ans: y = 3x - 13
3) m = 2 ; y-intercept (b) = 3/2
y = mx + b
Ans: y = 2x + (3/2)
4) (-1, 3 ) ; (2 , 0)
Slope = ![\frac{0 - 3}{2-[-1]}](https://tex.z-dn.net/?f=%5Cfrac%7B0%20-%203%7D%7B2-%5B-1%5D%7D)
m = 1; ( -1 , 3)
y - 3 = 1(x -[-1])
y - 3 = 1(x + 1)
y - 3 = x + 1
y = x + 1 + 3
Ans: y = x + 4
5)(2, 1) ;m = -3
y - 1 = (-3)(x - 2)
y - 1 = -3x + 6
y = -3x + 6 +1
Ans: y = -3x + 7
Answer:
f(x) = -22.45x^2 + 92.38x + 1.86
Because the points on the scatter plot show an increase in concentration from 0 hours through 2 hours and a decrease from 2 hours through 4 hours, the relationship shown is best modeled using a quadratic function.
Let's look closely at the two quadratic function choices to determine the key features of their graphs.
Because the coefficient of its x^2 -term is negative, the graph of f(x) = -22.45x^2 + 92.38 + 1.86 will be concave down and have a maximum value.
Because the coefficient of its x^2 -term is positive, the graph of f(x) = 22.45x^2 + 92.38 + 1.86 will be concave up and have a minimum value.
Because the scatter plot shown has a concave down trend, the function that best describes the relationship shown is:
f(x) = -22.45x^2 + 92.38 + 1.86
Step-by-step explanation:
Answer:
$0.30
Step-by-step explanation:
Divide 4.50 by 15.
