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3 years ago

35% off the original price of televisions (t)

Mathematics

1 answer:

Vesna [10]3 years ago

8 0

.35 x price of television (t) = x
Price of television(t) - x = discount price

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Find the mean median and mode of the deta set 1,6,3,9,6,8,4,4,4

Firlakuza [10]

Mode (most occurring) - 4
mean (average) - 8
median (middle number from least to greatest) - 4

4 0

4 years ago

Read 2 more answers

Can you break down how to solve the problem ?

Montano1993 [528]

Answer:

A. y = $\frac{-5x}{2}$ - 1

Step-by-step explanation:

Given parameters:

Equation of the line:

5x + 2y = 12

Coordinates = -2, 4

Unknown:

The equation of the line parallel to this line = ?

To solve this problem, first, we need to find the slope of the given line.

Every linear equation have the formula: y = mx + c

m is the slope of the line, c is the y- intercept

5x + 2y = 12

Express this equation as y = mx + c

2y = -5x + 12

y = $\frac{-5}{2}x$ + 6

The slope of this line is $\frac{-5}{2}$

Now, any line that is parallel to another will not cut or cross it at any point. This simply implies they have the same slope.

Slope of the line parallel is $\frac{-5}{2}$

Our new line will also take the form y=mx + c,

Coordinates = -2, 4, x = -2 and y = 4

m is $\frac{-5}{2}$

Now let us solve for C, the y-intercept;

4 = - 2 x $\frac{-5}{2}$ + C

4 = 5 + C

C = -1

The equation of the line is therefore;

y = $\frac{-5x}{2}$ - 1

6 0

3 years ago

Is the relationship between the variables in the table a direct variation, an inverse variation, or neither? If it is a direct o

inn [45]

Answer: neither direct variation nor inverse variation.

Explanation:

1) The relation between two variables, y and x, is a direct variation if and only if the quotient between them, y/x, is constant. This is: y / x = k or, equivalently, y = kx.

Note that if y / x is constant, x / y is also constant.

In a direct variation, when x increases, y increases, and when x decreases, y decreases.

2) The relation between two variables, y and x, is an inverse variation if and only if their product, y×x is constant. This is: y × x = k or, equivalently y = k /x or x = k / y.

In an inverse variation when one of the variables increases the other decreases.

3) Writhe the given table and study whether the conditions for direct or inverse variation are met:

x y y/x y×x

-6 -72 -72/(-6) = 12 (-6)(-72) = 432

-4 -47 -47 / (-4) = 11.75 (-4)(-47) = 188

-3 -36 -36 / (-3) = 12 (-3)(-36) = 108

1 12 12 / 1 = 12 (1)(12) = 12

Conclusions;

a) Since neither y / x nor y×x have the same result for every pair, the relation is neither direct nor inverse.

b) Note that if the third pair were (-4, -48) instead of (-4, -47), y / x would be 12, which make a direct variation. In this case the function that modeled it would be:

y = 12x.

8 0

4 years ago

Tamara says that raising the number i to any integer power results in either -1 or 1 as the result, since i^2 = -1. Do you agree

Roman55 [17]

I agree only if you have even powers -- even negative ones.

1/i^2 = 1/-1 = - 1
i^0 also gives 1 So far no problem.

It is when you consider the odd numbers that you don't get 1 or -1
You get either -i or i
i^(4n + 1) = i
i^(4n - 1) = -i

5 0

3 years ago

Write the percent as a fraction and as a decimal.<br> 139%<br> What is the fraction equivalent?

Bess [88]

Answer:

139/100

Step-by-step explanation:

3 0

3 years ago