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3 years ago

Graph the solution set for this -6x-3y<-18

Mathematics

1 answer:

brilliants [131]3 years ago

3 0

Answer: See the graph attached.

Step-by-step explanation:

The equation of the line in slope-intercept form is:

$y=mx+b$

Where:

m: slope.

b: y-intercept.

Solve for y:

$-6x-3y$

When you multiply by -1, the direction of the symbol changes. Then:

$(-1)-y-2x+6$

Then:

-You must graph the line:

$y=-2x+6$

Which has the slope -2 and intersects the y-axis at y=6

(The line is dashed for symbols < and > )

- Shade the region above the line (Because the symbol is >)

Therefore, you obtain the graph shown attached.

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Find the missing side lengths. Leave your answers in simplest radical form.

saveliy_v [14]

ANSWER:
d. x = 15, y= 15√3

EXPLANATION:
This is a special triangle, more specifically a 30-60-90 degree triangle. For sake of not confusing x and y, we will use z to use as our reference for solving this triangle. The side lengths for each angle are as follows:
• 60 degrees = z√3
- this is the value for your y answer
• 30 degrees = z
- this is the value for your x answer
• Hypotenuse = 2z
- this is what we already have

We solve for what we already have which is the Hypotenuse = 30:
2x = 30
x = 15

We now have our x value which is 15.
Now we just plug in that x value for every expression for every angle.

x = 15
y = 15√3

Sorry if I explained it too thoroughly but I’ll be glad to answer any questions or clarifications

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2 years ago

How do you solve x to the second power +7x=O

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3 years ago

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The work of a student to solve the equation 3(3y − 8) = 10 + 3y is shown below:

kirill115 [55]

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David rolls a die and spins the spinner.

CaHeK987 [17]

A. 1/5

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3 years ago

In accounting, a company's gross profit rate measures how well the company controls cost of goods sold to maximize gross profit.

postnew [5]

Answer:

Step-by-step explanation:

The gross profit rate of the company is expressed as $P = \dfrac{S - C}{S}$ where C is the cost of goods sold and S is the net sales. If the net sales S = $1,200,000, and gross profit ratio is 0.20, the cost of goods sold will be expressed as shown;

Making C the subject of the formula from the expression given.

$P = \dfrac{S - C}{S}\\\\cross \ multiply\\\\SP = S-C\\\-C = SP-S\\\\C = S -SP\\$

Substituting P = 0.20 and S = $1,200,000 into the resulting equation, we will have;

$C = $1,2000,000 - 0.2($1,2000,000)\\C = $1,2000,000- 240,000\\ C = 960,000$

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3 years ago