Answer:
y = x +1
Step-by-step explanation:
y= mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/ (x2-x1) = 2+4 / 3+3 = 6/6 = 1
from the point -slope equation we have
y-y1 = m* (x-x1)
y-3 = 1* ( x-2)
y= x -2+3
y= x +1
so the slope m=1 and the y-intercept b=1
F(x) = x² + 4x - 12
x = -b/2a
x = -(4)/2(1)
x = -4/2
x = 2
f(x) = x² + 4x - 12
f(2) = (2)² + 4(2) - 12
f(2) = 4 + 8 - 12
f(2) = 12 - 12
f(2) = 0
The vertex of the function is (2,0).
When a function is shifted to the right by 1 unit it is moved towards the negative side so we would be adding -1 to the value of x. The function f(x) would be f(x-1). To determine the resulting function, we substitute to the parent function (x-1) to x. We do as follows:
<span>f (x) = x^3 + 2x^2 − 3x − 5
</span>f (x-1) = (x-1)^3 + 2(x-1)^2 − 3(x-1) − 5
f (x-1) = x^3 - 3x^2 + 3x - 1 + 2(x^2 - 2x + 1) - 3x + 3 - 5
f (x-1) = x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5
f (x-1) = <span>x^3 - x^2 - 4x - 1
Therefore, the correct answer is the last option.</span>
Step-by-step explanation:
just substitute the value of g(X) and f(X)
The answer the this is 0.23 pounds per container
