Answer:
y=x+3
Step-by-step explanation:
1.) Find slope
slope = (-1-3)/(-4-0)
= -4/-4
= 1
2.) Use point slope form
<u>y-y1= m (x-x1) </u>
both x1 and y1 are the points
m is the slope
3.) Plug in the numbers
for the points I chose (0,3) to plug in
y-3= 1 (x1-0)
y-3= x
y= x+3
Answer:
560 metres
Step-by-step explanation:
80 cm in metres is 0.8 metres.
After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.
Now 1.6 metres times 350 gives us 560.
So the answer is 560 metres.
We know that there are two tickets (which we'll represent with x) and a fee for transporation (which is $20)
So we can set up the equation 20+2x=48
We want to isolate x so we'll subtract 20 from each side, which gives us the equation
2x=28
Then divide each side by 2
Giving us the final answer of
x=14
So each ticket costs $14
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.
Based on the given scenario above wherein the quality control analyst just inspects the first 100 items produced that day in order to avoid staying after work, the sampling method that she used is the CONVENIENCE SAMPLING METHOD. Hope this helps.
