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Ahat [919]
3 years ago
15

Select the function that matches the graph. y = 3x y = 3x2 + 1 y = 3x - 1 y = 3x + 1

Mathematics
2 answers:
Brut [27]3 years ago
7 0

Answer:

the first one goes through (0,0) ||||||| the second is an exponential function so it goes through (0,1) and in a u shape going up ||||||| The third goes through (0,-1) ||||||||| The fourth goes through (0,1)

Step-by-step explanation:

these are identifiein traits so you can find wich one the graph corresponds to since u never gave us a graph.

-BARSIC- [3]3 years ago
5 0

Answer:

The graph is missing, but we can draw and describe each option.

<h3>Choice 1</h3>

y=3x

This is a linear function which passes throuhg the origin of the coordinate system because it doesn't have the constant b which is the y-intercept of the line.

The first image attached shows this function.

<h3>Choice 2</h3>

y=3x^{2} +1

This is a quadratic function. Its graph belongs to a parabola, all quadratic functions are represented by a parabola. In this case, the parabola has a vertex at (0,1). The second image attached shows this function.

<h3>Choice 3</h3>

y=3x-1

This is also a linear function, which is parallel to the first function, because they have the same slope of 3. But this one has y-intercept at (0,-1). The third image attached shows this function.

<h3>Choice 4</h3>

y=3x+1

This is also a linear function parallel to function 1 and function 3. The fourth image attached shows its graph. In this case, the line has y-intercept at (0,1).

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When would the product of the denominators and the least common denominator of the denominators be the same?
Bas_tet [7]

Answer:

Example 1:

Find the common denominator of the fractions.

16 and 38

We need to find the least common multiple of 6 and 8 . One way to do this is to list the multiples:

6,12,18,24−−,30,36,42,48,...8,16,24−−,32,40,48,...

The first number that occurs in both lists is 24 , so 24 is the LCM. So we use this as our common denominator.

Listing multiples is impractical for large numbers. Another way to find the LCM of two numbers is to divide their product by their greatest common factor ( GCF ).

Example 2:

Find the common denominator of the fractions.

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The greatest common factor of 12 and 15 is 3 .

So, to find the least common multiple, divide the product by 3 .

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If you can find a least common denominator, then you can rewrite the problem using equivalent fractions that have like denominators, so they are easy to add or subtract.

Example 3:

Add.

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In the previous example, we found that the least common denominator was 60 .

Write each fraction as an equivalent fraction with the denominator 60 . To do this, we multiply both the numerator and denominator of the first fraction by 5 , and the numerator and denominator of the second fraction by 4 . (This is the same as multiplying by 1=55=44 , so it doesn't change the value.)

512=512⋅55=2560215=215⋅44=860

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=1130

The same idea can be used when there are variables in the fractions—that is, to add or subtract rational expressions .

Example 4:

Subtract.

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The two expressions 2a and 3b have no common factors, so their least common multiple is simply their product: 2a⋅3b=6ab .

Rewrite the two fractions with 6ab in the denominator.

12a⋅3b3b=3b6ab13b⋅2a2a=2a6ab

Subtract.

12a−13b=3b6ab−2a6ab                   =3b − 2a6ab

Example 5:

Subtract.

x16−38x

16 and 8x have a common factor of 8 . So, to find the least common multiple, divide the product by 8 .

16⋅8x8=16x

The LCM is 16x . So, multiply the first expression by 1 in the form xx , and multiply the second expression by 1 in the form 22 .

x16⋅xx=x216x38x⋅22=616x

Subtract.

x16−38x=x216x−616x                  =x2 − 616x\

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