Does anyone know the answer?
1 answer:
You might be interested in
9514 1404 393
Answer:
a) 12
b) y +5 = 12(x +2)
Step-by-step explanation:
The slope of a function is its derivative.
a) The slope of y = x^3 +3 at any point is y' = 3x^2. So, at the point where x=-2, the slope of the curve is ...
m = 3(-2)^2 = 12 . . . . slope at (-2, -5)
__
b) The equation of the tangent line is most easily written using the point-slope form of the equation of a line.
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y +5 = 12(x +2) . . . . line with slope 12 through point (-2, -5)
X - the number
the quotient of the number and 8 = x/8
10 more than the quotient of the number and 8 = (x/8)+10
10 more than the quotient of the number and 8 is at least 12 = (x/8)+10≥12
the quotient of the number and 8 = x/8
10 more than the quotient of the number and 8 = (x/8)+10
10 more than the quotient of the number and 8 is at least 12 = (x/8)+10≥12