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3 years ago

12

A consumer purchased a computer after a 14% price reduction. If x represents the computer's original price, the reduced price

can be represented by ________.

2 answers:

miskamm [114]3 years ago

7 0

If u r getting it for 14% off, then u r paying 86%

so the reduced price can be represented by 0.86x

or
x - 0.14x

umka2103 [35]3 years ago

6 0

Answer: The reduced price can be represented by 86%.

Step-by-step explanation:

Let the original price of computer be 'x'.

Rate of price reduction = 14%

Amount of reduction would be

$\dfrac{14}{100}\times x\\\\=0.14x$

So, Reduced price of a computer would be

$x-0.14x\\\\=0.86x$

Hence, the reduced price can be represented by 86%.

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If anyone could help?

Trava [24]

Answer:

$y=\frac{5}{7}x$ and $y=\frac{7}{9}x$

Step-by-step explanation:

A simple way to solve this problem is to plug the corresponding x and y into the function. We need only one pair since all the functions are quasi-linear (y=kx) and the increase is proportional.

In $y=\frac{5}{7}x$ when x=3, y=15/4≈2.14

In $y=\frac{3}{5}x$ when x=3, y=1.8

In $y=\frac{7}{9}x$ when x=3, y≈2.33

In $y=\frac{7}{11}x$ when x=3, y≈1.90

We can observe that in two cases, $y=\frac{5}{7}x$ and $y=\frac{7}{9}x$ , y is greater than 2.

5 0

3 years ago

-2m=6<br> Solve the equation using full working out

storchak [24]

Answer:

m = -3

Step-by-step explanation:

-2m=6

Divide both sides by (-2).

m = 6 ÷ (-2)

m = -3

7 0

3 years ago

Q3: Identify the graph of the equation and write and equation of the translated or rotated graph in general form. (Picture Provi

natta225 [31]

Answer:

b. circle; $2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

Step-by-step explanation:

The given conic has equation;

$x^2-5x+y^2=3$

We complete the square to obtain;

$(x-\frac{5}{2})^2+(y-0)^2=\frac{37}{4}$

This is a circle with center;

$(\frac{5}{2},0)$

This implies that;

$x=\frac{5}{2},y=0$

When the circle is rotated through an angle of $\theta=\frac{\pi}{3}$ ,

The new center is obtained using;

$x'=x\cos(\theta)+y\sin(\theta)$ and $y'=-x\sin(\theta)+y\cos(\theta)$

We plug in the given angle with x and y values to get;

$x'=(\frac{5}{2})\cos(\frac{\pi}{3})+(0)\sin(\frac{\pi}{3})$ and $y'=--(\frac{5}{2})\sin(\frac{\pi}{3})+(0)\cos(\frac{\pi}{3})$

This gives us;

$x'=\frac{5}{4} ,y'=\frac{5\sqrt{3} }{4}$

The equation of the rotated circle is;

$(x'-\frac{5}{4})^2+(y'-\frac{5\sqrt{3} }{4})^2=\frac{37}{4}$

Expand;

$(x')^2+(y')^2-\frac{5\sqrt{3} }{2}y'-\frac{5}{2}x'+\frac{25}{4} =\frac{37}{4}$

Multiply through by 4; to get

$4(x')^2+4(y')^2-10\sqrt{3}y'-10x'+25 =37$

Write in general form;

$4(x')^2+4(y')^2-10x'-10\sqrt{3}y'-12 =0$

Divide through by 2.

$2(x')^2+2(y')^2-5x'-5\sqrt{3}y'-6 =0$

8 0

3 years ago

B to thethird power -7

andreev551 [17]

-7 to the 3rd power is -343...

Hope this helps!

6 0

3 years ago

Read 2 more answers

Which of the following is a proportion? (Image)

Ganezh [65]

Answer:

the second one

Step-by-step explanation:

6 0

2 years ago