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riadik2000 [5.3K]
4 years ago
5

Please give me the explanation so I KNOW that it's right? Thanks.

Mathematics
1 answer:
MrMuchimi4 years ago
5 0

Answer:

its A, B, C or D

Step-by-step explanation:

it has to be one of them.

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Find the slope Y=5x+12
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Step-by-step explanation:

The equation of a line in the slope -intercept form is given by :-

y=mx+c

,where  m= slope , c= y-intercept.

The slope of a line represents the rate of change of y with respect to x.

Given: Equation of line : Y= 5x+12

Here Slope (m)=5

Hence, the slope = 5.

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What is k in this proportional relationship?
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(x, y)

(0, 0)

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4 years ago
The first term of a geometric sequence is 15, and the 5th term of the sequence is <img src="https://tex.z-dn.net/?f=%5Cfrac%7B24
sladkih [1.3K]

The geometric sequence is 15,9,\frac{27}{5},\frac{81}{25},  \frac{243}{125}

Explanation:

Given that the first term of the geometric sequence is 15

The fifth term of the sequence is \frac{243}{125}

We need to find the 2nd, 3rd and 4th term of the geometric sequence.

To find these terms, we need to know the common difference.

The common difference can be determined using the formula,

a_n=a_1(r)^{n-1}

where a_1=15 and a_5=\frac{243}{125}

For n=5, we have,

\frac{243}{125}=15(r)^4

Simplifying, we have,

r=\frac{3}{5}

Thus, the common difference is r=\frac{3}{5}

Now, we shall find the 2nd, 3rd and 4th terms by substituting n=2,3,4 in the formula a_n=a_1(r)^{n-1}

For n=2

a_2=15(\frac{3}{5} )^{1}

   =9  

Thus, the 2nd term of the sequence is 9

For n=3 , we have,

a_3=15(\frac{3}{5} )^{2}

   =15(\frac{9}{25} )

   =\frac{27}{5}

Thus, the 3rd term of the sequence is \frac{27}{5}

For n=4 , we have,

a_4=15(\frac{3}{5} )^{3}

    =15(\frac{27}{25} )

    =\frac{81}{25}

Thus, the 4th term of the sequence is \frac{81}{25}

Therefore, the geometric sequence is 15,9,\frac{27}{5},\frac{81}{25},  \frac{243}{125}

5 0
3 years ago
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