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Answer:
The function is continuous at x = 36
Step-by-step explanation:
From the question we are told that
The function is 
The point at which continuity is tested is x = 1
Now from the definition of continuity ,
At function is continuous at k if only
So
![\lim_{x \to 36}f(x) = \lim_{n \to 36}[x * \sqrt{ \frac{x}{ (x-6) ^2 } }]](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%2036%7Df%28x%29%20%20%3D%20%20%5Clim_%7Bn%20%5Cto%2036%7D%5Bx%20%2A%20%20%5Csqrt%7B%20%5Cfrac%7Bx%7D%7B%20%28x-6%29%20%5E2%20%7D%20%20%7D%5D)
Now
So the given function is continuous at x = 36
because
Step one: 96.20-36.96=59.24
Step two: 59.24÷4=14.81
Answer: Each top cost $14.81
Answer:
22
Step-by-step explanation:
10*1=10
then as we know first we should do multiplier and division so,
2*60=120, 120/10=12
10+12=22
Answer:
slope: -3
y-intercept: -5
equation: y = -3x - 5
Step-by-step explanation:
The formula for slope is:
(y2 - y1)/(x2 - x1)
Let's use these coordinates:
(-1, -2)
(0, -5)
x1 = -1
x2 = 0
y1 = -2
y2 = -5
Substitute into the formula:
(y2 - y1)/(x2 - x1)
(-5 + 2)/(0 + 1)
Solve:
(-5 + 2)/(0 + 1)
-3/1
= -3
slope = -3
The y-intercept is when the x coordinate is 0.
Looking at the table, we see the coordinate (0, -5).
The y-coordinate is -5.
This means that the y-intercept is -5
y-intercept = -5
Slope-intercept form:
y = mx + b
where m is the slope and b is the y-intercept
m = -3
b = -5
Substitute:
y = mx + b
y = -3x - 5
