Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
Answer: x= -9 y= 3
Step-by-step explanation:
Answer:
300 times
Step-by-step explanation:
600 * 1/2 = 600/2
=300
Answer:
3 oz. Left
Step-by-step explanation:
First there are 16 oz in 1 pound
Multiply 4 by 16
Then divide 3÷4 and multiply that by 16
Your total should be 76
Subtract 76-73
Your answer is 3 oz left
Answer:
Red line
Step-by-step explanation:
2y+x=0
2y=-x
y=-x/2
Put the equation into y=mx+b so you would need to subtract the x to put it on the right side so then you’ll have 2y=-x+0 then divide by 2 to get the y by itself then you’ll have y=-2x+0 that means the line would be negative and the y-intercept is 0 and the only line that follows that is the red line.
