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Vilka [71]
3 years ago
7

Convert the following equation to slope-intercept form: 5x - 15y = 105

Mathematics
1 answer:
balandron [24]3 years ago
3 0

Answer:

D

Step-by-step explanation:

You need to solve the equation so that it looks like y = mb + b

So -15y = -5x + 105, then divide both sides by -15 so y = -5/-15 x + 105/-15

y = \frac{1}{3} x  - 7

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What is the explicit formula for this geometric sequence with recursive formula
Nonamiya [84]

C

generate the first few terms using the recursive formula

a_{2} = - 7 × \frac{1}{3} = - \frac{7}{3}

a_{3} = - \frac{7}{3} × \frac{1}{3} = - \frac{7}{9}

a_{4} = - \frac{7}{9} × \frac{1}{3} = - \frac{7}{27}

r = a_{2} / a_{1} = \frac{1}{3}


the n th term formula (explicit ) for a geometric sequence is

a_{n} = a_{1}r^{n-1} = - 7(\frac{1}{3})^(n - 1)


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To find the value of C: Use the Pythagorean Theorem

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The sum of the first three terms of a sequence is 6 and the fourth term is 16
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Answer:

              a₁ = -5, d = 7,  a₂ = 2, a₃ = 9, a₄ = 16

equation of sequence:    \boxed{\bold{a_n=7n-12}}

Step-by-step explanation:

a₁ + a₂ + a₃ = 6    

a₁ + a₁ + d + a₁ + 2d = 6

3a₁ + 3d = 6

a₁ + d= 2     ⇒ a₁ = 2 - d

a₄ = 16

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2 - r + 3d = 16

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equation of arithmetic sequence:

a_n=a_1+d(n-1)\\\\a_n=-5+7(n-1)\\\\\underline{a_n=7n-12}

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