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Nat2105 [25]
3 years ago
14

What is y+4=-6(x+6) witten in standard form?

Mathematics
1 answer:
Scrat [10]3 years ago
4 0

Answer:

6x + y = -40

General  Formulas and Concepts:

<u>Pre-Algebra</u>

  • Distributive Property
  • Equality Properties

<u>Algebra I</u>

Standard Form: Ax + By = C

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

[Point Slope]   y + 4 = -6(x + 6)

<u>Step 2: Rewrite</u>

<em>Find standard form</em>

  1. Distribute -6:                         y + 4 = -6x - 36
  2. Add 6x on both sides:          6x + y + 4 = -36
  3. Subtract 4 on both sides:    6x + y = -40
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"Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given st
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Answer:

The error E = ± 4.04 %

Step-by-step explanation:

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- The success p^ = success percentage = 40 %

- The confidence interval CI = 98%

- The sample size n = 800

- The margin of error E:

- The margin of error "E" for estimation of population proportion ( p ) is given by:

                          E = z-critical*\sqrt{\frac{p~ ( 1 - p~ )}{n} }

Where, Z-critical value is defined by the significance level:

                         P ( Z < Z-critical ) = α / 2

Where, α : Significance level

                          α = 1 - CI

                         P ( Z < Z-critical ) = (1 - 0.98) / 2

                         P ( Z < Z-critical ) = 0.01  

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- The error E of estimation is:

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Two of the most expensive cars in the world are car A and car B. The prices of these two cars differ by more than ​$15,000. The
Nadya [2.5K]

The possibilities of the price of car B are values greater than $146645  and values less than $116645

<h3>Write an absolute value inequality that describes this situation. Use x for the price of car B.</h3>

The price of car A is given as:

Car A = 131645

The price difference is given as;

Difference = 15000

The absolute value inequality is represented as:

|x - Car A| > Difference

So, we have:

|x - 131645| > 15000

Hence, the absolute value inequality is |x - 131645| > 15000

<h3>b. What are the possibilities for the price of car​ B?</h3>

In (a), we have:

|x - 131645| > 15000

Remove the absolute bracket

x - 131645 > 15000 and x - 131645 < -15000

Add 131645 to both sides of the inequality

x  > 146645 and x < 116645

Hence, the possibilities of the price of car B are values greater than $146645  and values less than $116645

Read more abut absolute value at:

brainly.com/question/24368848

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