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3 years ago

Simplify: 3(2x-y)-(5x+4y-2) Please show steps

Mathematics

2 answers:

il63 [147K]3 years ago

7 0

Answer:

6 x ^2 − 5 x y − 4 y ^2

Step-by-step explanation:

Expand

( 2 x + y ) (3 x − 4 y )

using the FOIL Method.

Apply the distributive property.

2 x ( 3 x − 4 y ) + y ( 3 x − 4 y )

Apply the distributive property.

2 x ( 3 x )+ 2 x (− 4 y ) + y ( 3x − 4 y )

Apply the distributive property.

2 x ( 3 x ) + 2 x( − 4 y ) + y ( 3 x) + y ( −4 y )

Simplify and combine like terms.

6 x ^2 − 5 x y − 4^ 2

Gemiola [76]3 years ago

6 0

Step-by-step explanation:

so it is 3×2=6 3×y=3y so here it 6-3 =3

5+4=9-2=7

so 7-3=4

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The highest recorded temperature during the month of July for a given year in Death Valley, California has an approximately norm

S_A_V [24]

Answer:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

$X \sim N(123.8,3.1)$

Where $\mu=123.8$ and $\sigma=3.1$

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using excel or the normal standard tabe and we got:

$P(z$

6 0

3 years ago

The sign of the product of two integers with the same sign is positive

Grace [21]

Yes, a negative times a negative will be postive and a positive with a positive will remain positive. but negative times positive will be negative, doesnt matter with integer is higher

8 0

3 years ago

Please Help! 39 and 40 please!!! :D

Pavel [41]

Answer:

Look below.

Step-by-step explanation:

39.

10+ = 149 times x

3 - 9 = 143 times x

40.

2(w times 1.5 + w)

6 0

3 years ago

Find the dimensions of the box described.

Rina8888 [55]

The dimensions of the box are 6 inches, 12 inches and 10 inches

Step-by-step explanation:

There is a box, with dimensions length, width and height

The length is twice as long as the width
The height is 4 inches greater than the width
The volume is 720 cubic inches

We need to find its dimensions

Assume that the width of the box is x

∵ The width of the box is x

∵ The length is twice as long as the width

- Twice means times 2

∴ The length of the box = 2(x) = 2x

∵ The height is 4 inches greater than the width

- 4 inches greater means add 4

∴ The height of the box = x + 4

∵ The volume of the box = length × width × height

∵ length = 2x , width = x , height = x + 4

∴ The volume of the box = (2x) × (x) × (x + 4)

∵ (2x) × (x) = 2x²

∵ 2x²(x + 4) = (2x²)(x) + (2x²)(4) = 2x³ + 8x²

∴ The volume of the box = 2x³ + 8x²

∵ The volume of the box is 720 inches³

∴ 2x³ + 8x = 720

- Subtract 720 from both sides

∴ 2x³ + 8x² - 720 = 0

- Use your calculator to solve the equation and find the value of x

∴ x = 6

∴ The width of the box = 6 inches

∴ The length of the box = 2(6) = 12 inches

∴ The height of the box = 6 + 4 = 10 inches

The dimensions of the box are 6 inches, 12 inches and 10 inches

Learn more:

You can learn more about volume in brainly.com/question/12497249

#LearnwithBrainly

5 0

3 years ago

Express 0.361 as a fraction

cricket20 [7]

Answer:

361/1000 is the answer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers