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Sunny_sXe [5.5K]
2 years ago
9

which pair of numbers have a greatest common factor of 7? select each correct answer. 7 and 14 7 and 14 28 and 7 28 and 7 7 and

1 7 and 1 21 and 3
Mathematics
1 answer:
galina1969 [7]2 years ago
8 0

The numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

<h3>What is the greatest common factor?</h3>

The largest factor of the two numbers which divides both the numbers is called as greatest common factor or GCF. In other words, the greatest common factor is the largest positive number which can be divided into given numbers evenly.

Given the number is 7 the pair of numbers having the greatest common factor is calculated below:-

For pairs 7 and 14. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 14.

Similarly for pairs 7 and 28. Both the numbers are the multiple of 7 it can be divided by 7. The greatest common factor will be 7 for pairs 7 and 28.

Therefore, the numbers 7 and 14, 28 and 7 have the greatest common factor. The correct options are A and B.

To know more about the greatest common factor follow

brainly.com/question/219464

#SPJ4

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Please help me with the below question.
VMariaS [17]

By letting

y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}

we get derivatives

y' = \displaystyle \sum_{n=0}^\infty (n+r) c_n x^{n+r-1}

y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0

Examine the lowest degree term \left(x^{r-1}\right), which gives rise to the indicial equation,

5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients c_k is

(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}

so that with r = 4/5, the coefficients are governed by

c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}

c) Starting with c_0=1, we find

c_1 = -\dfrac{c_0}5 = -\dfrac15

c_2 = -\dfrac{c_1}{10} = \dfrac1{50}

so that the first three terms of the solution are

\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}

4 0
2 years ago
a wheelchair ramp has a rise from the ground of 1 foot. the ramp has a length of 14 feet. to the nearest degree, find the angle
sergey [27]
The mnemonic SOH CAH TOA helps you remember the relevant trig relationship is
   Sin(α) = Opposite/Hypotenuse
   sin(α) = (1 ft)/(14 ft)
   α = arcsin(1/14) ≈ 4°

The angle the ramp makes with the sidewalk is 4°.
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Which statement is true?
Svetradugi [14.3K]
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All of the points in the graph are on the same line. Find the slope of the line.
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Answer:

Step-by-step explanation:

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3 0
3 years ago
Please help-many points
kenny6666 [7]

Relatively prime means there are no number greater than 1 that divides them both.

Find the GCF for each set:

A. 68 and 119

68: 1 , 2, 4, 17, 34,68

119: 1, 7, 17

Both numbers can be divided by 1 or 17 so are not relative.

B.

40 and 395

are both divisible by 1 and 5 so are not relative.

C. 119 and 715

Are both only divisible by 1, so are relative.

D. 63 and 56

Are divisible by both 1 and 7 so are not relative.

The answer is C. 119 and 715

7 0
4 years ago
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