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Alika [10]
3 years ago
6

Partition a number line from 0 to 1 into sixth decompose 2/6 into 4 equal lengths.

Mathematics
1 answer:
Anon25 [30]3 years ago
7 0
When we partition a number line from 0 to 1 into six, each segment has a length of 1/6 and the segments are:
1/6. 2/6. 3/6, 4/6, 5/6 , 6/6

Breaking 2/6 into 4 equal parts, we get each part equal to 1/12
You might be interested in
Write the explicit formula that represents the geometric sequence-2, 8, -32, 128
maks197457 [2]
Well,  since we know is a geometric sequence, we can always get the common ratio  of it by simply dividing one value by the one behind it... so let's do so, with say hmm -32 and 8  -32/8 = -4  <-- our common ratio

the first term is -2

\bf n^{th}\textit{ term of a geometric sequence}\\\\&#10;a_n=a_1\cdot r^{n-1}\qquad &#10;\begin{cases}&#10;n=n^{th}\ term\\&#10;a_1=\textit{first term's value}\\&#10;r=\textit{common ratio}\\&#10;----------\\&#10;a_1=-2\\&#10;r=-4&#10;\end{cases}\implies a_n=-2(-4)^{n-1}
4 0
3 years ago
The graph of F(x) can be stretched vertically and flipped over the x axis to produce the graph of G(x) if F(x)=x^2 which of the
ladessa [460]

Answer:

g(x) = -5x²

(option B)

Step-by-step explanation:

we know that our original graph, f(x) = x² is a parabola.

So, we can consider what happens when we adjust the function/equation of a parabola.

when we "vertically stretch" a parabola, we are increasing the value of x.

 think of it this way: the steepness of a slope is rise over run. If we rise ten, and run one, that's going be a lot more steep than if we rise 1, run 1.

Let's say our x = 5

if f(x)=x²

f(5) = 25

> y value / steepness is 25

f(x) = 3x²

f(5) = 75

 > y value / steepness is 75

So, we are looking for an equation with an increase in x present.

When a parabola has been flipped over the x-axis, we know that the original equation now includes a negative

suppose that x = 1

if y = x² ; y = 1² = 1

if y = -(x²) ; y = -(1²) ; y = -1

So, when we set x to be negative, we make our y-values end up as negative also (which makes the graph look as if it has been flipped upside-down)

This means that we are looking for a function with a negative x value.

So, we are looking for a negative x-value that is multiplied by a number >1

The graph that fits our requirements is g(x) = -5x²

hope this helps!!

6 0
1 year ago
There were 25 adults and 15 children at a restaurant. what percent of the people were children?
Arada [10]

Answer:

37.5 percent

Step-by-step explanation:

Well, there are 25+15=40 total people. Since there are 15 children, the percent is 15/40, which is equal to .375

Because percent is by hundredths, multiply by 100 by moving the decimal to the right twice, and you have a percentage of 37.5.

7 0
3 years ago
Make x the subject of the formula <br><br> x/3z = y-2
wlad13 [49]

Answer:

x = 3z(y - 2)

Step-by-step explanation:

Given

\frac{x}{3z} = y - 2 ( multiply both sides by 3z to clear the fraction )

x = 3z(y - 2)

7 0
3 years ago
Help me with this please
GaryK [48]

Answer:

The First Table

Step-by-step explanation:

The y-values increase inconsistently, while the other tables are constant.

3 0
3 years ago
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