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Whats the lcm for 4 and 36? Please show work using Stack it method and Cake method!

Darina [25.2K]

36. U get 36 because 36 divided by 4 equals 9 and 36 and 4 can’t go any further than that.

6 0

3 years ago

A teacher is choosing 4 students from a class of 30 to represent the class at a science fair. In how many ways can the teacher c

marin [14]

${30 \choose 4}=\frac{30!}{4!26!}=\frac{27\cdot28\cdot29\cdot30}{2\cdot 3\cdot4}=27\cdot7\cdot29\cdot5=27405$

4 0

3 years ago

Let x and y represent two real numbers. Write an algebraic expression to denote the quotient obtained when the product of the tw

sertanlavr [38]

(xy)/(x+y) hope this helps

5 0

3 years ago

Compare the two graphs and explain the transformation that was applied to f(x) in order to look exactly like the graph of g(x).

Neporo4naja [7]

The two graphs are represented below.

Answer and Step-by-step explanation: One graph can "transform" into another through changes in the function.

There are 3 ways to change a function:

Shifting: it adds or subtracts a constant to one of the coordinates, thus changing the graph's location. When the y-coordinate is added or subtract and the x-coordinate is unchanged, there is a vertical shift. If it is the x-coordinate which changes and y-coordinate is kept the same, the shift is a horizontal shift;
Scaling: it multiplies or divides one of the coordinates by a constant, thus changing position and appearance of the graph. If the y-coordinate is multiplied or divided by a constant but x-coordinate is the same, it is a vertical scaling. If the x-coordinate is changed by a constant and y-coordinate is not, it is a horizontal scaling;
Reflecting: it's a special case of scaling, where you can multiply a coordinate per its opposite one;

Now, the points for f(x) are:

(-5,0) (0,6) (5,-4) (8,0)

And the points for g(x) are:

(-5,-3) (0,-9) (5,1) (8,-3)

Comparing points:

(-5,0) → (-5,-3)

(0,6) → (0,-9)

(5,-4) → (5,1)

(8,0) → (8,-3)

It can be noted that x-coordinate is kept the same; only y-coordinate is changing so we have a vertical change. Observing the points:

(-5,0-3) → (-5,-3)

(0,6-15) → (0,-9)

(5,-4+5) → (5,1)

(8,0-3) → (8,-3)

Then, the vertical change is a Vertical Shift.

Another observation is that y-coordinate of f(x) is the opposite of g(x). for example: At the second point, y-coordinate of f(x) is 6, while of g(x) is -9. So, this transformation is also a Reflection.

Range of a function is all the values y can assume after substituting the x-values.

Domain of a function is all the values x can assume.

Reflection doesn't change range nor domain of a function. However, vertical or horizontal translations do.

Any vertical translation will change the range of a function and keep domain intact.

Then, for f(x) and g(x):

graph translation domain range

f(x) none [-5,8] [-4,6]

g(x) vertical shift [-5,8] [-9,1]

In conclusion, this transformation (or translation) will affect the range of g(x)

5 0

2 years ago

What is the slope of the line represented by the equation y=- 5x? 0-5 or w/N wind 5

Alexandra [31]

Answer:

the slope would be -5

Step-by-step explanation:

in linear equations, the slope of the line is the coefficient of x

so in this case, it is -5

5 0

3 years ago

Need help with the image below, thank you​

Need help with the image below, thank you