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3 years ago

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:

Pre-Algebra

Distributive Property
Equality Properties

Algebra I

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:

Step 1: Define

[Point Slope] y + 4 = -6(x + 6)

Step 2: Rewrite

Find standard form

Distribute -6: y + 4 = -6x - 36
Add 6x on both sides: 6x + y + 4 = -36
Subtract 4 on both sides: 6x + y = -40

You might be interested in

If a monopolist supplies goods at a price; P = 170 - Q, with marginal cost; MC = 52. Find the quantity and price

Arada [10]

Answer:

Quantity = 59 units

Price = $111

Step-by-step explanation:

The Demand function is given by

$P = 170 - Q$

The Marginal cost is given by

$MC = 52$

We are asked to find the quantity and price of goods.

Firstly, obtain the Marginal revenue function from the demand function

The Total revenue is given by

$TR = P \times Q \\\\TR = (170 - Q) \times Q \\\\TR = 170Q - Q^2$

The Marginal revenue is the derivative of the Total revenue,

$MR = \frac{d}{dQ} (TR) = 170Q - Q^2 \\\\MR = \frac{d}{dQ} (TR) = 170 - 2Q \\\\$

Assuming that the monopolist maximizes profits,

$MR = MC \\\\170 - 2Q = 52\\\\2Q = 170 - 52\\\\2Q = 118\\\\Q = 118/2\\\\Q = 59$

Therefore, the quantity is 59 units.

The price of each good is

$P = 170 - Q \\\\P = 170 - 59 \\\\P = 111$

Therefore, the price is $111.

3 0

4 years ago

What is an equation of the line that passes through the points (4, 3) and (-6, 3)?

kodGreya [7K]

Answer:

Step-by-step explanation:

(4,3)(-6,3)

3-3/-6-4

m=0

y=3

6 0

3 years ago

Read 2 more answers

Which of the following is equivalent to-2/5 • 12

S_A_V [24]

2/5 .12

(2×12) / 5

24 / 5

4 4/5

5 0

3 years ago

Just help don’t ask please

Vlad [161]

Step-by-step explanation:

change graphic into alohabet so it is easier to see

solve easy equation with only a type of unknown first..

once you found the value of the unknownm , substitute it in any equation so you can find the value of other unknown.

4 0

3 years ago

II. Let f(x) = 9 – x , g(x) = x2 + x, and h(x) = x – 2. Compute the following:

Neko [114]

Answer:

$h(g(x))=x^2+x-2$

$h(g(f(x))= x^2-19x+88$

Step-by-step explanation:

Composite Function

Suppose f(x) and g(x) are real functions, the composite function named $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

The composite function can be found by substituting g into f.

We are given these functions:

$f(x)=9-x$

$g(x)=x^2+x$

$h(x)=x-2$

Find:

a) h(g(x))

Substituting g into h:

$h(g(x))=x^2+x-2$

b) h(g(f(x))

First we find g(f(x)):

$g(f(x))=(9-x)^2+(9-x)$

Operating:

$g(f(x))=81-18x+x^2+9-x$

Simplifying:

$g(f(x))=90-19x+x^2$

Now find h(g(f(x)) replacing the above equation into h:

$h(g(f(x))= 90-19x+x^2-2$

Simplifying and rearranging:

$h(g(f(x))= 88-19x+x^2$

$h(g(f(x))= x^2-19x+88$

3 0

3 years ago