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g100num [7]
2 years ago
10

D = b^2 -4ac solve for a 2/3 (x-18y) = 6y solve for x

Mathematics
1 answer:
seropon [69]2 years ago
7 0

Answer:

a = \frac{b^2-d}{4c}

x = 27y

Step-by-step explanation:

Order of Operations: BPEMDAS

<u>Question 1</u>

Step 1: Write out discriminant

d = b² - 4ac

Step 2: Subtract b² on both sides

d - b² = -4ac

Step 3: Divide both sides by -1

b² - d = 4ac

Step 4: Divide both sides by 4c

a = \frac{b^2-d}{4c}

<u>Question 2</u>

Step 1: Write out equation

2/3(x - 18y) = 6y

Step 2: Distribute parenthesis

2/3x - 12y = 6y

Step 3: Isolate <em>x </em>by adding 12y on both sides

2/3x = 18y

Step 4: Divide both sides by 2/3

x = 27y

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What is the equation of the oblique asymptote?<br> h(x) = x² – 3x - 4/x + 2
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Simplifying h(x) gives

h(x) = (x² - 3x - 4) / (x + 2)

h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)

h(x) = ((x + 2)² - 7x - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)

h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)

h(x) = (x + 2) - 7 - 22/(x + 2)

h(x) = x - 5 - 22/(x + 2)

An oblique asymptote of h(x) is a linear function p(x) = ax + b such that

\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0

In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.

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What is the 20th term of the sequence that begins -5,15,-45, 135. ?
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Mark wants to buy a PS5 for $499.00. If tax in her local county is 7.75% of the total sale, what is the final cost?
Effectus [21]

Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Using this formula

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Let plug in the formula

Final cost= $499.00+($499.00×7.75%)

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Inconclusion Assuming Mark wants to buy a PS5 for $499.00 and the  tax in her local county is 7.75% of the total sale, what will be the final cost is $538

Learn more here:

brainly.com/question/13040834

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2 years ago
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How do you find the percent of a whole number?
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3 years ago
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The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to r
qwelly [4]

Answer:

4w + 9

Step-by-step explanation:

Area of rectangle = length x width (or base x height, depending on how you look at it).

It is given to you that:

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Length = 2

Let: width = x

Plug in the corresponding terms with the corresponding words:

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w = (8w)/2 + (18)/2

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4w + 9 is the expression that represents the width of the rectangle.

~

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2 years ago
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