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jekas [21]
3 years ago
8

Write an equation parallel to y=3x+6 that passes through the point (4, 7)

Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

y = 3x - 5

Step-by-step explanation:

The equation of a line parallel to y=3x+6 has exactly the same form but a different constant on the right:  y=3x+C

To find C, take the coordinates of the given point and substitute them into y=3x+C:

7 = 3(4) + C, or

7 = 12 + C, and so C = -5

The desired equation is y = 3x - 5

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Tcecarenko [31]

Answer:

3^{-2} * 3^3

Step-by-step explanation:

Multiply 1/9 and 27 to get 27/9 which reduces to 3. When doing these equations, you add up the exponents. To get 3, you would have to have 3^1. The get this, the only equation that would work is 3^-2 x 3^3

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4 0
3 years ago
What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
kolbaska11 [484]

Answer:

Real rate of return = 1.5%

Step-by-step explanation:

Given:

Savings account return = 2.5%

Inflation rate = 1%

Find:

Real rate of return = ?

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6 0
3 years ago
Find the 6th term of the arithmetic sequence X – 9, -X – 11, -3.3 – 13, ...
MrMuchimi

Answer:

-13x-23

Step-by-step explanation:

Given sequence:  x-9, -x-11, -3x-13

Therefore,

  • a_1=x-9
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General form of an arithmetic sequence: a_n=a+(n-1)d

(where a is the first term and d is the common difference)

To find the common difference, subtract a term from the next term:

\begin{aligned}d & =a_2-a_1\\ & =(-x-11)-(x-9)\\ & = -x-11-x+9\\ & = -2x-2\end{aligned}

Therefore,

a_n & =(x-9)+(n-1)(-2x-2)

To find the 6th term, input n = 6 into the equation:

\begin{aligned}\implies a_6 & =(x-9)+(6-1)(-2x-2)\\ & = (x-9)+7(-2x-2)\\ & = x-9-14x-14\\ & = -13x-23\end{aligned}

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2 years ago
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I think it is a 27.5% decrease
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