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garik1379 [7]
3 years ago
8

Write an equation of the line that passes through the given point. (1,3); y=2x+6

Mathematics
1 answer:
andrew11 [14]3 years ago
8 0
So, you need to know that the slope stays where it is, and that the 6 is not part of the final answer, so get rid of it.
y=2x+b
Now, submit x in for x, and y in for y.
3=2(1)+b
3=2+b
1=b

Put this in for the equation missing the b,
y=2x+1
Now check it; if you put 1 in for x, does y=3?
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Write an<br> explicit formula for<br> then<br> th<br> an.<br> term of the sequence 45, 15,5. ....
7nadin3 [17]

Answer:

The sequence above is a geometric sequence

For an nth in a geometric sequence

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

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a is the first term

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From the question

a = 45

r = 15 / 45

The explicit formula for the sequence is

U(n) = 45(1/3)^n-1

Hope this helps you

7 0
3 years ago
What is the slope of the line that passes through the pair of points (-1, 4), (3,12)​
Nadya [2.5K]

Answer:

\displaystyle m = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)
  • Slope Formula: \displaystyle m = \frac{y_2-y_1}{x_2-x_1}

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, 4)

Point (3, 12)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

  1. Substitute in points [Slope Formula]:                                                              \displaystyle m = \frac{12-4}{3--1}
  2. [Fraction] Subtract:                                                                                           \displaystyle m = \frac{8}{4}
  3. [Fraction] Divide:                                                                                               \displaystyle m = 2
3 0
3 years ago
What is the answer to 4x-25+75
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Step by Step: -25+75= 50
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4 0
3 years ago
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Arisa [49]

Step-by-step explanation:

f(x) = 1/3|x|

then

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and

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the slope of f(x) = 1/3x is 1/3

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this two above conditions apply on to the fourth graph to the right.

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Step-by-step explanation:

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