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Bezzdna [24]
3 years ago
8

Graph y-3 = 1/2 (x+2)

Mathematics
1 answer:
jenyasd209 [6]3 years ago
8 0

Answer:

Step-by-step explanation:

first solve for y=mx+ b format

y-3= 1/2(x+2)

y-3= 1/2x+1

y= 1/2x+4

slope is 1/2; y-intercept is 4

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Pam signed up for a new gym. She had to pay a $45 sign-up fee and will pay dues of $30 each month for 6 months. Which expression
erastovalidia [21]

Answer:

45 + (30*6)

Step-by-step explanation:

3 0
2 years ago
Combine like terms. x^2y-3xy^2-6x^2y
balu736 [363]

The result after combining like terms is: -5x^2y-3xy^2

Step-by-step explanation:

Given expression is:

x^2y-3xy^2-6x^2y

The like terms are those terms with whom the variable or product of variables is same.

As in the given expression, first and third, both terms have x^2y so both terms are like terms

Combining like terms, means the indicated operation is performed on them

So,

Combining like terms:

x^2y-6x^2y-3xy^2\\= -5x^2y-3xy^2

Hence,

The result after combining like terms is: -5x^2y-3xy^2

Keywords: Expressions, polynomials

Learn more about polynomials at:

  • brainly.com/question/846474
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#LearnwithBrainly

3 0
3 years ago
The sum of the squares of three consecutive integers is 509. Determine the integers.
GalinKa [24]

Answer:

12, 13, 14

Step-by-step explanation:

Denote the integers as:

x

x+1

x+2

The sum of their squares, so that would be;

(x^(2)) + (( x + 1 )^(2)) + (( x + 2 )^(2)) = 509

write out the squares

x^2 + x^2 + 2x + 1 + x^2 + 4x + 4 = 509

combine like terms

3x^2 + 6x + 5 = 509

inverse operations

3x^2 + 6x + 5 = 509

                -5     -5

3x^2 + 6x = 504

factor

3x^2 + 6x = 504

3 ( x^2 + 2x ) =504

Inverse operations

3 ( x^2 + 2x ) = 504

/3                       /3

x^2 + 2x = 168

Factor again

x ( x + 2 ) = 168

At this point, it should be obvious that x is 12 (because 12 * 14 = 168)

So now substitute back into the consecutive numbers

x = 12

x + 1 = 13

x + 2 = 14

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