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Irina-Kira [14]
3 years ago
12

Which choice is a good estimate for the equation of the line below?

Mathematics
2 answers:
Veseljchak [2.6K]3 years ago
7 0
The Answer is C since Y is for the miles and X for hours, we need to substitute the miles in the y variable and solve for X !!
ludmilkaskok [199]3 years ago
6 0

Given is a table of Time(hours)-Distance(miles).

We have points (4, 208), (6, 312), (8, 416), (10, 520).

<u>Finding slope of given points:-</u>

m_1=\frac{312-208}{6-4}= \frac{104}{2}=52 \\m_2=\frac{416-312}{8-6}= \frac{104}{2}=52 \\m_3=\frac{520-416}{10-8}= \frac{104}{2}=52

We know general equation of the line is given by y = mx+b.

<u>Using point (4, 208) and slope m = 52 in the equation y = mx+b.</u>

208 = (52)(4) + b

208 = 208 + b

b = 0.

So, the equation is y = 52x.

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3 years ago
the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?
Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

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

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

8 0
2 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago
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