Answer:
slope= 5/3
Step-by-step explanation:
y=mx+b
slope=m
your welcome
Answer:
a) (g(x), f(u)) = ( 7*√x , e^u )
b) y ' = 3.5 * e^(7*√x) / √x
Step-by-step explanation:
Given:
- The given function:
y = e^(7*√x)
Find:
- Express the given function as a composite of f(g(x)). Where, u = g(x) and y = f(u).
- Express the derivative of y, y'?
Solution:
- We will assume the exponent of the natural log to be the u. So u is:
u = g(x) = 7*√x
- Then y is a function of u as follows:
y = f(u) = e^u
- The composite function is as follows:
(g(x), f(u)) = ( 7*√x , e^u )
- The derivative of y is such that:
y = f(g(x))
y' = f' (g(x) ) * g'(x)
y' = f'(u) * g'(x)
y' = e^u* 3.5 / √x
- Hence,
y ' = 3.5 * e^(7*√x) / √x
-3/5 parallel lines have the same slope
Line a and Line b are parallel.
∠x = 34° (alternative angles on a parallel line are equal)
Answer: ∠x = 34° (option C)
-3x - y = -10
<span>4x - 4y= 8
</span>To make these easier to graph, convert them to slope-intercept form by isolating y on the left side:
-3x - y = -10
-y = 3x - 10
y = -3x + 10
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<span>4x - 4y = 8
-4y = -4x + 8
y = x - 2
</span><span>Now I can graph the equations
</span>y = -3x + 10
y = x - 2
Answer:
D. (3, 1)