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2 years ago

Put the following equation of a line into slope-intercept form, simplifying all

Mathematics

1 answer:

navik [9.2K]2 years ago

3 0

Answer:

$y = -x - 3$

Step-by-step explanation:

We are trying to get the equation $3x + 3y = -9$ into the form $y = mx+b$ , aka slope-intercept form.

To do this we are trying to isolate y.

$3x + 3y = -9$

Subtract 3x from both sides:

$3y = -9 - 3x$

Rearrange the terms:

$3y = -3x - 9$

Divide both sides by 3:

$y = -x - 3$

Hope this helped!

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A clothing business finds there is a linear relationship between the number of shirts, Q ,it can sell and the price, P , it can

Vlad [161]

Answer:

P = -0.004Q + 149

Step-by-step explanation:

The general form of the linear equation is:

$P=aQ+b$

The slope of the equation (a) can be found by using the two given points (4,000; $133) and (27,000; $41)

$a = \frac{\$41-\$133}{27,000-4,000}\\a=-0.004$

Applying the point (4,000; $133) to the equation below yields in the linear equation for Price as a function of the number of shirts:

$P-P_0=a(Q-Q_0)\\P-133=-0.004(Q-4,000)\\P = -0.004Q+149$

The linear equation is:

P = -0.004Q + 149

8 0

2 years ago

What is 2.6 * 10 ^ 5 written in standard notation? A. 26, 000 O B. 2, 060, 000 O C. 20,600 O D. 260, 000 O E. 2, 600, 000 O F. 2

noname [10]

Answer:260000

Step-by-step explanation:

4 0

3 years ago

A library building is in the shape of a rectangle. Its floor has a length of (3x + 5) meters and a width of (5x − 1) meters. The

AleksAgata [21]

The problem says that the expression (3x + 5)(5x − 1) <span>represents the area of the floor of the building in square meters. Therefore, to solve this problem you have to follow the proccedure shown below.

1. First, to simplify the expression (3x + 5)(5x − 1) you must apply the distributive property. Then, you obtain:

15x</span>²-3x+25x-5

2. Then, you have:

15x²+22x-5

3. As you can see, the correct answer is the last option: 15x²+22x-5

7 0

2 years ago

Find the geometric proof

GrogVix [38]

Answer:

See Explanation

Step-by-step explanation:

Line l is bisector of MO... (given)

$\therefore MN = NO.... (1)$