Answer:
y + 4 = -3 (x - 5)
In other words,
y = -3 x + 11
Step-by-step explanation:
The slope of the tangent line to y = g(x) at x = 5 is the same as the value of g'(x). g'(5) = 3. Therefore, 3 will be the slope of the tangent line.
The tangent line goes through the point of tangency (5, g(5)). g(5) = -4. Therefore, the tangent line passes through the point (5, -4).
Apply the slope-point form of the line. The equation for a line with slope <em>m</em> that goes through point (a, b) will be y - b = m(x - a). For the tangent line in this question,
What will be the equation of this line?
Answer:
6.68 %.
Step-by-step explanation:
The standardised z-score = ( 10.95 - 10.5) / 0.3
= 1.5.
Looking up the Normal Distribution tables ( area to the left) 1.5 corresponds to 0.93319 so for a weight above 10.95 the proportion is
1 - 0.93319 = 0.06681
= 6.68%.
Answer:
Step-by-step explanation:
.....
Answer:
1/2 lemonade -> 2 water
3 lemonade -> ? water
x * 1/2 = 3*2
x/2 = 6
x=12
Step-by-step explanation:
Answer:
5x + 12
Step-by-step explanation:
simplify f(x) and g(x)
g(x) = 4*2 -3*2 +5
g(x) = 8 -6 + 5
g(x) = 7
and
f(x) = 4*2 + 5x -3
f(x) = 8 + 5x - 3
f(x) = 5x + 5
So (f + g)(x) = f(x) + g(x)
(f + g)(x) = (5x + 5) + (7)
(f + g)(x) = 5x + 12
