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2 years ago

Graph the line with slope 3/2 and y-intercept - 7.

Mathematics

1 answer:

Ronch [10]2 years ago

4 0

Answer:

14=3x-2y

$y = m x+ c \\ y = \frac{3}{2} x - 7 \\ y = \frac{3x - 14}{2} \\ 2y = 3x - 14 \\ 14 = 3x - 2y \\ therefore \\ 14 = 3x - 2y \: is \: the \: required \: eqution \: of \: the \: line$

it can be wrong also

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Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2

ollegr [7]

Answer:

$2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

Step-by-step explanation:

Perimeter is defined as the sum of sides.

For a rectangle having dimension length 'L' and breadth 'B' Since, rectangle has two sides equal.

Perimeter of rectangle = 2 ( length + breadth )

Here, given rectangle has dimension

Length = $2x^2-16$ and breadth = $-x^2+4x+1$

Thus, perimeter of rectangle = $2(2x^2-16+(-x^2+4x+1))$

$=2(2x^2-16-x^2+4x+1)$

$=2(x^2+4x-15)$

$=2x^2+8x-30$

Thus, perimeter of rectangle is $2x^2+8x-30$ ........(1)

Perimeter of rectangle , when x = 3,

Put x= 3 in (1) ,

$2x^2+8x-30\Rightarrow 2(3)^2+8(3)-30 \Rightarrow 18+24-30=12$

Thus, $2x^2+8x-30$ represents the total perimeter of the table, and if x = 3 the lentgh of entire rubber bumper is 12 feet.

5 0

3 years ago

Read 2 more answers

Question

Gnoma [55]

Given parameters:

y varies directly as w;

This interpreted implies that as y increases, we increases by a certain factor or amount;

So, y ∝ w

y = kw

where k is the constant of proportionality

Now, given that y = 8 and w = 2

Input in the equation to solve for k;

8 = k x 2

Solving k gives, k = 4

Now to the second part,

if v is directly proportional to w;

v = k w

So v = 4w

The equation that relates v to w is v = 4w

3 0

3 years ago

Raju bought an old car for Rs.125000 and spent Rs.25000 on its repair . He sold the car for Rs.200000 . Find his gain or loss pe

Keith_Richards [23]

Answer: $33.33\%$

Step-by-step explanation:

Given

Raju buy an old car for $Rs\ 1,25,000$

He spent $Rs\ 25000$ on its repair

The selling price of the car $Rs\ 2,00,000$

So, the cost price is

$\Rightarrow C.P.=1,25,000+25,000=Rs\ 1,50,000$

Here, $S.P.> C.P.\quad \text{i.e. gain}$

Gain percent is

$\Rightarrow \text{Gain percent}=\dfrac{2,00,000-1,50,000}{1,50,000}\times 100=\dfrac{50,000}{1,50,000}\times 100\\\Rightarrow \text{Gain percent}=33.33\ \%$