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FrozenT [24]
4 years ago
15

Ronald and Tim did their laundry today. Ronald does laundry every 6 days and Tom does laundry every 9 days. How many days will i

t be until Ronald and Tim do their laundry on the same day again?
Mathematics
1 answer:
Luden [163]4 years ago
7 0
Least common multiple question

Ronald: count by 6's
 6, 12, 18, 24, 30, 36, 42, 48, 54 ....

Tim: count by 9's
9, 18, 27, 36, 45, 54,

every 18 days they do their laundry together
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The difference of 8 and 2 times m
ddd [48]
I’m confused? I understand it is math but can you word the problem better?
4 0
3 years ago
The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below
Aleonysh [2.5K]

Answer:

g(x)=x-1

Step-by-step explanation:

Any problem of this kind should first be approached by solving the initial function.

This question is based on curve translation on x-axis. But, there can be questions asked on translation in both axes, rotation of curve about origin, or both combined.  

Initial function f(x) is a straight line from picture.

Common equation of straight line is

y=mx+c

m= slope of the line

c= y-intercept

Slope of the line:

m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}

Let those points on graph be A(3,0) and B(0,-6)

Therefore, slope of line AB, using formula is:

m=\frac{0-(-6)}{3-0}

m=2

And c=(-6)

And equation of line AB is:

y=2x-6

f(x)=2x-6

Now this line is translated backwards by 2 units, (x) becomes (x+2)

Let us consider a X, such that, X=x+2

f(X)=2X-6

f(x+2)=2(x+2)-6

f(x+2)=2x+4-6

f(x+2)=2x-2

Now, there is another function such that, g(x)= \frac{1}{2} f(x+2)

g(x)= \frac{1}{2}(2x-2)

g(x)= x-1 ; according to your question.

In the picture, they are asking for a function, g(x)= \frac{-1}{2} f(x+2)

Then, g(x)= -x+1 ; according to the picture.

Here, I have attached a file showing all the graphs for clear understanding.

3 0
4 years ago
Read 2 more answers
In the ________ method, the distance between groups is defined as the distance between the closest pair of objects, where only p
andrew-mc [135]

Answer: single linkage clustering

Step-by-step explanation: because here

defining feature of the method is that distance between groups is defined as the distance between the closest pair of objects, where only pairs consisting of one object from each group are considered.

In the single linkage method, D(r,s) is computed as

D(r,s) = Min { d(i,j) : Where object i is in cluster r and object j is cluster s }

The distance between every possible object pair (i,j) is computed, where object i is in cluster r and object j is in cluster s. The minimum value of these distances is said to be the distance between clusters r and s. In other words, the distance between two clusters is given by the value of the shortest link between the clusters.

At each stage of hierarchical clustering, the clusters r and s , for which D(r,s) is minimum, are merged. In this case, those two clusters are merged such that the newly formed cluster, on average, will have minimum pairwise distances between the points.

8 0
3 years ago
Jake studied x hours for a big test. Julie studied half as long. Write an algebraic expression for long julie studied.
kipiarov [429]
X/2 is howling Julie studied
6 0
4 years ago
Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?
EleoNora [17]

Answer:

Option A

Step-by-step explanation:

  • f(x) = x³ + x² + x + 1

This is increasing function

The first option is correct

<em>See attached graph for reference</em>

3 0
3 years ago
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