Which is the correct form of the partial fraction decomposition for the expression 2x-5/x(x+4)?

The store sale 85% off only today. Ella planned to buy these skates anyway, and so she bought them immediately.

daser333 [38]

Let x be the original price. Then the discounted price is
                                         discount = x(1 - 0.85)
The discounted price is $18.00. Therefore
                                         18.00 = x(0.15)
                                                 x = 18.00 / 0.15
                                                 x = $120.00
The amount she saved is $120.00 - $18.00 = $102.00

The answer to this question is that Ella saved $102.00.

3 0

4 years ago

An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared

MaRussiya [10]

Factored form of an expression is writing it in the terms of multiplication of factors. The factors of given expression are: $(7x+4)$ and $(x-1)$

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form $ax^2 + bx + c$ ,

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

$b = \alpha + \beta \\ ac =\alpha - \beta$

The given expression is $7x^2 - 3x - 4$

Comparing it with the standard form of quadratic expression $ax^2 + bx + c$ , we get: a = 7, b = -3, c = -4

ac = -28

-28 = -2 times 14

-28 = -7 times 4 (-7 + 4 = -3 = b)

Thus, $\alpha = -7, \beta = 4$

Thus, we get:

$7x^2 - 3x - 4 = 7x^2 - 7x + 4x - 4 = 7x(x-1) + 4(x-1) = (7x+4)(x-1)\\7x^2 - 3x - 4 = (7x+4)(x-1)$

Thus, The factors of given expression are: $(7x+4)$ and $(x-1)$

Learn more about factor of quadratic equation here:

brainly.com/question/26675692

8 0

3 years ago

Read 2 more answers

Determining Cost of Land

irakobra [83]

The complete question is:

On-Time Delivery Company acquired an adjacent lot to construct a new warehouse, paying $90,000 in cash and giving a short-term note for $50,000. Legal fees paid were $1,750, delinquent taxes assumed were $25,000, and fees paid to remove an old building from the land were $9,000. Materials salvaged from the demolition of the building were sold for $1,000. A contractor was paid $415,000 to construct a new warehouse. Determine the cost of the land to be reported on the balance sheet.

The cost of land to be reported exists at $174,750.

<h3>How to determine the cost of the land to be reported on the balance sheet?</h3>

The cost of land noted in the balance sheet does not only contain the price spent to gain the land but also includes any costs/revenue obtained in the procedures, and activities required to obtain the land to the setting in which it may be prepared for use.

Therefore, except for the price paid which exists at $140,000 ( $90,000 cash and $50,000 short-term note), we have to count up all the applicable expenses including Legal fees, delinquent taxes, Disposal of old building expenditures and remove the material salvaged profit from the destruction of the old building. The construction cost of the new warehouse exists extraneous here as, without this cost, the land exists already in a ready-to-use stage ( i.e: for building a new property on the land)

So, the amount of Cost of land to be reported exists

140K + 1,75K + 25K + 9K - 1K = $174,750.

To learn more about balance sheet refer to:

brainly.com/question/1113933

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8 0

2 years ago

A 64-ounce of sports juice costs $6.50. A 48-ounce container of the same juice costs $4.25. Which size container is the better b

Zarrin [17]

48 ounce is the better buy

5 0

3 years ago