Due today:
At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200 .


Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)

Answers

Answer 1

We know that:

The ideal selling price is P = $22,000

The price can vary dP = $1,200

let's define p as the variable that represents the possible prices of the car.

We will find that the absolute value equation that represents this is:

|p - $22,000| ≤ $1,200

Now let's see how we get that, using the initial information we can get:

The minimum price can be:

mP = P - dP = $22,000 - $1,200 = $20,800

The maximum price can be:

MP = P + dP = $22,000 + $1,200 = $23,200

Then the range of allowed prices is:

mP ≤ p ≤ MP

$20,800 ≤ p ≤ $23,200

To write this as an absolute value equation, we use the general formula:

Ix - average| ≤ amount that it can vary

Replacing it with our values we get:

|p - P| ≤ dP

|p - $22,000| ≤ $1,200

Concluding, the absolute value equation that we wanted to find is:

|p - $22,000| ≤ $1,200

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#1

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Answers

Answer:

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Answers

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Step-by-step explanation:

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11 + 7x = -17

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Answer:

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Answer:

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Question 1
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Answer:

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Step-by-step explanation:

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Answer:

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Answers

Answer:

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Given:

Berny spent 20 dollars total

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Answers

Answer:

Step-by-step explanation:

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Step-by-step explanation:

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Note:if you have any question please let me know.

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Answers

Answer:

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Step-by-step explanation:

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Sin = opposite/hypotenuse

Cosine = adjacent/hypotenuse

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Step-by-step explanation:

We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can

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So the angle opposite of the side we are trying to find is 33.

Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines

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Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.

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Multiply both sides by sin 33 to isolate x.

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[tex]x = 6.494[/tex]

Round if needed

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Answer:

Is there supposed to be a picture?

Step-by-step explanation:

Answer:

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Step-by-step explanation:

The wood on the back deck of a house needs waterproofing. The shape of the deck
is a rectangle with the length of 40 feet and a width of 3 yards. A gallon can of
waterproof stain covers 50 square feet and costs $19.99 per can plus 8% sales tax.
You go to the hardware store to purchase the waterproof stain needed to complete
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additional cash must you find in order to be able to pay for all of the stain you need?
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Area of Rectangle = length X width
You cannot split up a can of stain.
You must show all calculations.

Answers

Dimensions of a rectangular deck = [tex]40[/tex] feet by [tex]3[/tex] yards

Width of the deck is in yards, so convert it into feet.

Since, [tex]\frac{1}{3}[/tex] yards = 1 foot

Therefore, 1 yard = [tex]3[/tex] feet

And [tex]3[/tex] yards = [tex]3\times 3[/tex] feet

                    = [tex]9[/tex] feet

Therefore, dimensions of the rectangular deck = [tex]40[/tex] feet by [tex]9[/tex] feet

Area of the deck = Length × Width

                            = [tex]40\times 9[/tex]

                            = [tex]360[/tex] square feet

∵ [tex]50[/tex] square feet of deck is stained by number of cans = 1

∴ 1 square feet will be stained by number of cans = [tex]\frac{1}{50}[/tex]

∴ [tex]360[/tex] square feet will be stained by cans = [tex]\frac{360}{50}[/tex] = [tex]7.2[/tex]

We can not purchase can in fractions or parts.

Therefore, number of cans to be purchased = [tex]8[/tex]

Cost of waterproof stain per can = $[tex]19.99[/tex] plus [tex]8[/tex]% sales tax

Therefore, actual cost of 1 can to be paid for the waterproof stain

= [tex](19.99 + 19.99\times \frac{8}{100})[/tex]

= [tex]19.99+1.5992[/tex]

= $[tex]21.5892[/tex]

Cost of [tex]8[/tex] cans = [tex]21.5892\times 8[/tex]

                         = $[tex]172.71[/tex]

I have paid $[tex]150[/tex] to the cashier.

Therefore, additional money to be paid = [tex]172.71-150[/tex]

                                                                  = $[tex]22.71[/tex]

Learn more,

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can someone please help me answer this function please?

Answers

Answer:

B) [tex]x\geq0[/tex]

Step-by-step explanation:

The domain of the square root function is all real non-negative numbers. In a numerical format that is as follows:

[tex]D(\sqrt{x})={[0,\infty )}[/tex]

This is more commonly denoted as:

[tex]x\geq0[/tex]

In the case of the given function:

[tex]g(x)=\sqrt{8x}[/tex]

The domain is still ([tex]x\geq0[/tex]) as multiplying a value by (8) does not alter this. A negative number times (8) is still negative and thus cannot be a part of the square root domain. Similarly, a positive number times (8) is still positive and remains a part of the square root domain. Moreover, (0) times (8) is still (0).

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