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4 years ago

Whats the standard form of 2+8/15x =-2/3y

1 answer:

7 0

Standard Form looks like this:

$A_{x} + B_{y} = C$

Also, A cannot be negative and there are no fractions in Standard Form.

Now that we know the rules of Standard Form, let's get x and y on one side.

-2/3y = 2 + 8/15x
Subtract 8/15x from both sides.
-8/15x - 2/3y = 2
Multiply 2/3 by 5/5 to get a common denominator.
-8/15x - 10/15y = 2
Multiply everything by 15 to rid of the fractions.
-8x - 10y = 30
Multiply everything by -1 to make A positive.
8x + 10y = -30

8x + 10y = -30

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A study revealed a strong, linear, negative association between a decrease in salary and amount spent on clothes. Another study

kakasveta [241]

Answer:

A. simpson's paradox

Step-by-step explanation:

The Simpson's paradox was named after Edward Simpson, the person who described this paradox for the first time in 1951. In this paradox, you find two contrary patterns. For example, a positive and a negative correlation, depending on how data is analyzed. The differences in the analyses are how data are grouped. This paradox is observed often in social researches. Most of the times, results are affected by the sample on each group or additional information related to the data.

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4 years ago

PLEASE HELP <br><br> Solve using linear combination 8x + y = 14 3x + y = 4

yKpoI14uk [10]

Answer:

The solution of the linear system is:

$x = 2$ and $y = -2$

Step-by-step explanation:

The following linear equation is solved as follows:

$8\cdot x + y = 14$

$3\cdot x + y = 4$

After some algebraic manipulation:

$y = 14 - 8\cdot x$

$y = 4 - 3\cdot x$

$14 - 8\cdot x = 4 - 3\cdot x$

$10 = 5\cdot x$

$5\cdot x = 10$

$x = 2$

And finally,

$y = 4 - 3\cdot (2)$

$y = -2$

The solution of the linear system is:

$x = 2$ and $y = -2$

3 0

3 years ago

Read 2 more answers

If x=24 cm and z=26 cm, what is the length of Z

Semenov [28]

Answer:

Step-by-step explanation:

you said it in the question- If x=24 cm and z=26 cm, what is the length of Z

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3 years ago

ANSWER ASAP PLEASE!! HELP ME OUT the FIRST PERSON GET BRAINIEST!!

Viktor [21]

A. If it has a 60% mark up price of $120 that would be $60 so the total would be $180. B. If there selling the bike at what the store is selling it for it would be $126 because 30% of $180 is $54 so subtract $54 from $180 and you will get $126 C. The store would make a total profit of $6.

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3 years ago

How do you do this problem? Simple and concise explanation, please!

natita [175]

Step-by-step Answer:

This is a problem of partial fractions.

Step 1:

factor all denominators on the left-hand side (LHS).

LHS = a/[(x+1)(x-1)] + x/[(x-3)(x+1)]

Note the common factor (x+1) in both denominators, which makes the combined/common denominator [(x+1)(x-1)(x-3)]

Step 2:

multiply each term, top and bottom, by the factor "missing" from the common denominator.

The first term is missing (x-3), the second term is missing (x-1)

a(x-3)/[(x+1)(x-1)(x-3)] + x(x-1)/[(x+1)(x-1)(x-3)]

which can be simplified to:

[a(x-3)+x(x-1)]/[(x+1)(x-1)(x-3)]

Expand numerator:

[x^2 + ax-x -3a]/[(x+1)(x-1)(x-3)]

Step 3:

For the two expressions on each side of the equal sign (LHS and RHS) to be equivalent (for ALL values of x), the numerators and denominators must be identical when expanded, so

For denominator, we have factors [(x+1)(x-1)(x-3)], or b,c,d = -3, -1, 1 (in ascending order).

For the numerator, we need to have LHS = RHS

x^2 + (a-1)x -3a = x^2 + 2x -9

putting a=3 gives the

LHS = x^2 + (3-1)x -3(3) = x^2 + 2x - 9 which makes equality with the RHS.

So we have solved for all values required.

6 0

3 years ago