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.
4/6=0,66=66% i think this is right?
Expanded FormFind the Expanded Forms of:
Answer:
Standard Form:
7.362
Expanded forms can be written
like a sentence or stacked for
readability as they are here.
Expanded Numbers Form:
7 + 0.3+ 0.06+ 0.002
Expanded Factors Form:
7 ×1 +3 × 0.1+6 × 0.01+2 × 0.001
Expanded Exponential Form:
7 × 100+3 × 10-1+6 × 10-2+2 × 10-3
Word Form:
seven and
three hundred sixty-two thousandths
Answer:yhjghjghj
Step-by-step ex6757lanation:
<span>£</span>210 is the answer!! :)
