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3 years ago

How do you simplify -2x(x+3)-(x+1)(x-2)

2 answers:

8 0

1. Distribute the -2x with the (x+3)
2.Multiply (x+1) and (x-2) which is (x2- x -2)
So far it should look like (-2x^2 -6x) - (x^2-x-2)
3. Distribute out the negative
Should look like this -2x^2 -6x - x^2+x+2
4. Lastly combine like terms

Your result should be:
-3x^2 - 5x + 2

Hope this helps!

Mumz [18]3 years ago

4 0

-2x(x + 3) - (x + 1)(x - 2)

//Distribute

= (-2x² - 6x) - (x² - 2x + x - 2)

// Combine like terms

= (-2x² - 6x) - (x² - x - 2)

// Open brackets

= -2x² - 6x - x² + x + 2

//Combine like terms

= - 3x² - 5x + 2

//Factorise

= (1 - 3x)(x + 2)

Answer: (1 - 3x)(x + 2)

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Math help please (80 points)

Inga [223]

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8 (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 - x^3 -3x^2 -12

I like to line them up vertically

x^4 -x^2 +9

- x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3

2. a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

5 0

3 years ago

Read 2 more answers

Hal says the volume of the sphere shown below 36 cm3. Find the correct volume, using 3.14 for pi. Round to the nearest hundredth

adelina 88 [10]

Answer:

Volume of sphere is $35.98cm^3$

Step-by-step explanation:

It is given that Hal says that volume of sphere is $36cm^3$

Volume of sphere is given by $V=\frac{4}{3}\pi r^3$

$\frac{4}{3}\pi r^3=36$

$\pi r^3=27$

$r^3=8.594$

$r=2.048cm$

Now using 3.14 in place of $\pi$

Now volume of sphere is

$V=\frac{4}{3}\times 3.14\times 2.048^3$

$V=35.98cm^3$

Therefore volume of sphere when we use 3.14 in place of $\pi$ is $35.98cm^3$

And the Hal likely error is he uses $\pi$ directly for calculation of volume.

7 0

3 years ago

I want to know about perimeter and area

grandymaker [24]

Add each sides' centimeters together to get the perimeter. multiply length x width to get the area. I hope this helped

6 0

3 years ago

Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

nekit [7.7K]

Answer:

$P(35$

And we can find this probability with the following difference and using the normal standard table or excel we have:

$P(-2.143$

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 variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(50,7)$

Where $\mu=50$ and $\sigma=7$

We are interested on this probability

$P(35$

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:

$P(35$

And we can find this probability with the following difference and using the normal standard table or excel we have:

$P(-2.143$

6 0

3 years ago

How many 8's are in the answer and sum 5890/45?

Novay_Z [31]

Answer:

1. There are infinite 8's

2. The estimate is 130.89

3. The difference is 0.01

Explanation:

There are countless, or infinite, 8's in the answer because the result is a periodic decimal:

$\dfrac{5890}{45}=130.8888 . . .$

The notation used for the periodic decimal numbers is an arc over the number that is repeated. In this case, it would be an arc over the first 8.

I will use a bar just to show how it is, but instead of a bar it should be an arc:

$\dfrac{5890}{45}=130.\overline 8$

The estimation or approximation to two decimal places requires to drop the 8's since the third one and increase the second 8 to 9 (because the first decimal dropped is greater than or equal to 5).

Thus the estimated value would be 13.89.

The difference is:

130.89 - 130.888. . . = 0.0111. . .
Rounded to 2 decimal places: 0.01

3 0

3 years ago