Please help me on this least to greatest

Write an equation of the line that passes through the given point and is parallel to the graph of the given equation.

True [87]

Question 1:

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Find Slope
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Equation: y = 5x - 2
Slope = 5
Slope of parallel line = 5

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Insert slope into the general equation y = mx + c
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y = 5x + c

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Find y-intercept
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At point (2, -1)
y = 5x + c
-1 = 5(2) + c
c = -1 - 10
c = -11

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Insert y-intercept into the equation
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y = 5x + c
y = 5x - 11

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Answer: y = 5x - 11
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Question 2:

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Find Slope
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y = 9x
Slope = 9
Slope of the parallel line = 9

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Insert slope into the equation y = mx + c
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y = 9x + c

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Find y-intercept
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y = 9x + c
At point (0, 5)
5 = 9(0) + c
c = 5

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Insert y-intercept into the equation
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y = 9x + c
y = 9x + 5

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Answer: y = 9x + 5
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7 0

3 years ago

A player pays $15 to play a game in which a chip is randomly selected from a bag of chips. The bag contains 10 red chips, 4 blue

adelina 88 [10]

Answer:b. 4.50

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the firs

rewona [7]

Answer:

4032 different tickets are possible.

Step-by-step explanation:

Given : At a race track you have the opportunity to buy a ticket that requires you to pick the first and second place horses in the first two races. If the first race runs 9 horses and the second runs 8.

To find : How many different tickets are possible ?

Solution :

In the first race there are 9 ways to pick the winner for first and second place.

Number of ways for first place - $^9C_1=9$

Number of ways for second place - $^8C_1=8$

In the second race there are 8 ways to pick the winner for first and second place.

Number of ways for first place - $^8C_1=8$

Number of ways for second place - $^7C_1=7$

Total number of different tickets are possible is

$n=9\times 8\times 8\times 7$

$n=4032$

Therefore, 4032 different tickets are possible.

8 0

3 years ago

Determine the value of k

KATRIN_1 [288]

Answer:

$\displaystyle k = 6$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Functions
Function Notation

Algebra II

Piecewise Functions

Calculus

Limits
Continuity

Step-by-step explanation:

Step 1: Define

Identify

Continuous at x = 2

$\displaystyle f(x) = \left \{ {{2x^2 \ if \ x < 2} \atop {x + k \ if \ x \geq 2}} \right.$

Step 2: Solve for k

Definition of Continuity: $\displaystyle \lim_{x \to 2^+} 2x^2 = \lim_{x \to 2^-} x + k$
Evaluate limits: $\displaystyle 2(2)^2 = 2 + k$
Evaluate exponents: $\displaystyle 2(4) = 2 + k$
Multiply: $\displaystyle 8 = 2 + k$
[Subtraction Property of Equality] Subtract 2 on both sides: $\displaystyle 6 = k$
Rewrite: $\displaystyle k = 6$