Answer:
Step-by-step explanation:
For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;
If the function is f(x), for f(x) to exist then;

Given the function;

Lets check if the above statement is true.
The right hand limit of the function occurs at x> 9
f(x) = 9-x

The left hand limit occurs at x<9
f(x) = x+9

From the above calculation, it can be seen that
, this shows that the function given does not exist at the given point.
Let, Number of Hours in Library = x
Number of Hours in babysitting = y
Inequality would be: x + y = 30 ;
& 8x + 6y ≥ 200
b) Solving: Multiply first equation by 6,
6x + 6y ≥ 180
Subtract it from 2nd equation,
2x ≥ 20
x ≥ 10
Now, substitute it in 1st equation,
10 + y = 30
y = 20
Your Answer would be (10, 20)
x - value is lesser or equal to 10, so it would move to left (decreasing direction)!
Hope this helps!
The square on the hypotenuse is skew and impossible to visually validate. There's nothing to sum. It is a simple calculation to note that <span><span><span>32</span>+<span>42</span>=<span>52</span></span><span><span>32</span>+<span>42</span>=<span>52</span></span></span><span>, but its picture doesn't 'say' that the angle between the 3 and 4 sided square must be 90 degrees.
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Answer:
b) 0.0625
Step-by-step explanation:
Answer:
t = 6/5
Step-by-step explanation:
Step 1: Define
k(t) = 10t - 19
k(t) = -7
Step 2: Substitute and Evaluate
-7 = 10t - 19
12 = 10t
t = 6/5