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3 years ago

What is the slope of the line represented by the equation y = - 글 x + 끝?

Mathematics

1 answer:

AveGali [126]3 years ago

7 0

Given:

Consider the given equation is:

$y=-\dfrac{7}{2}x+\dfrac{11}{3}$

To find:

The slope of the line that is represented by the given equation.

Solution:

The slope intercept form of a line is:

$y=mx+b$ ...(i)

Where, m is the slope and b is y-intercept.

We have,

$y=-\dfrac{7}{2}x+\dfrac{11}{3}$ ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{7}{2}$

Therefore, the slope of the given equation is $-\dfrac{7}{2}$ .

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You have 30 feet of wire fencing that you want to use to make a rectangular pen for chickens. Let l be the length of the pen. wh

Olin [163]

Answer:

The area would be '15l - l²

Step-by-step explanation:

Given,

By 30 feet of wire fencing we need to make a rectangular shape,

Thus, perimeter of such rectangle = 30 feet,

We know that,

Perimeter of a rectangle = 2( length + width)

if length = l feet,

⇒ 2(l + width) = 30

⇒ 2l + 2 × width = 30

⇒ 2 × width = 30 - 2l

⇒ width = $\frac{30-2l}{2}$ = (15-l) feet,

Now, area of the rectangle,

A = length × width

= l × (15-l)

= 15l - l²

Which is the required polynomial expression.

Note :

Polynomial expression : an expression having terms consisting coefficients and variables separated by addition, subtraction and multiplication.

4 0

3 years ago

◕ A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer. The retailer added transportation cost of Rs 250 , pr

satela [25.4K]

Given :-

A dealer sold a photocopy machine at Rs 4200 with 13% VAT to a retailer.
The retailer added transportation cost of Rs 250 , profit Rs 300 and local tax Rs 150 and sold to consumer .
Customer has to pay 13% VAT .

To Find :-

Amount to be paid by the customer .

Solution :-

Here , according to the question ,

$\sf\dashrightarrow Cost\ of \ machine \ = \ Rs 4200$

$\sf\dashrightarrow VAT = 13\%$

Therefore cost after adding VAT ,

$\sf\dashrightarrow Cost = Cost_{initial}+13\% of Cost_{initial}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs 4200 \times \dfrac{13}{100}\\$

$\sf\dashrightarrow Cost = Rs4200 + Rs546\\$

$\sf\dashrightarrow \bf{ Cost = Rs 4746}$

Again the values added by the retailer before selling to customer ,

Transport = Rs 250
Profit = Rs 300
Tax = Rs 150

Therefore total cost after adding these ,

$\sf\dashrightarrow Cost = Rs( 4746+ 250+ 300 + 150 )\\$

$\sf\dashrightarrow\bf { Cost = Rs 5446}$

Again Selling price after addition of 13% VAT ,

$\sf\dashrightarrow SP = Rs 5446 + 13\% \ of \ Rs 5446\\$

$\sf\dashrightarrow SP = Rs 5446 + \dfrac{13}{100}\times 5446 \\$

$\sf\dashrightarrow SP = Rs (5446 + 707.98) = Rs ( 5446 + 708)\\$

$\sf\dashrightarrow \underline{\underline{\bf SP_{to\ the \ customer} = Rs 6154}}$

Hence the amount to be paid by the customer is Rs 6154 .

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