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3 years ago

A price for a pair of shoes is 400. the price is decreased by 30%. what is the new price?

Mathematics

2 answers:

sukhopar [10]3 years ago

5 0

The answer is 280 because if you multiply 400 by .3 you get 120 and if you subtract 120 from 400 you get 280

ivanzaharov [21]3 years ago

5 0

The new price would be 280 dollars.

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motikmotik

Step-by-step explanation:

$\frac{x - 9}{15} = \frac{2x - 9}{10} \\$

$\frac{x - 9}{3} = \frac{2x - 9}{2} \\$

$2( x - 9) = 3(2x - 9) \\$

$2x - 18 = 6x - 27$

$27 - 18 = 6x - 2x$

$9 = 4x$

$x = \frac{9}{4} \\$

5 0

2 years ago

How to identify the parent function given an equation ?

Anettt [7]

Answer:

You can identify the parent function by making the equation into its simplest form.

Step-by-step explanation:

Remove all transformations from the equation (such as plus/minus signs, constants, and extra terms in the equation).

ex. y= -3x^2+15

The parent function would be y=x^2 after removing everything.

Hope this helps! :)

8 0

3 years ago

Please..help

Dominik [7]

Answer

7% . . ...................

6 0

2 years ago

Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

2 years ago

What is the inverse of the function f(x) = 2x – 10?

Lana71 [14]

Answer:

$h(x)=\dfrac{x}{2}+5$

Step-by-step explanation:

You are given the function $f(x)=2x-10$ . To find the inverse function $f^{-1}(x)$ do such steps:

1. Rewrite the function f(x) as

$y=2x-10$

2. Express x in terms of y:

$y+10=2x\\ \\x=\dfrac{y}{2}+5$

3. Change x into y and y into x:

$y=\dfrac{x}{2}+5$

Now, the inverse function is

$f^{-1}(x)=\dfrac{x}{2}+5$

7 0

3 years ago

Read 2 more answers