MATHEMATICS MIDDLE SCHOOL

Use vertical multiplication to find the product of:x ^(3) + 2x + 3 * x ^(3) - x + 1

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Answers

Answer 1
Answer:

Answer:

x^6+x^4+4x^3-2x^2-x+3

Step-by-step explanation:

x^3+2x+3

*(x^3-x+1)

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

First step multiply your terms in your first expression just to the 1 in the second expression like so:

x^3+2x+3

*(x^3-x+1)

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

x^3+2x+3  Anything times 1 is that anything.

That is, (x^3+2x+3) \cdot 1=x^3+2x+3.

Now we are going to take the top expression and multiply it to the -x in the second expression. -x(x^3+2x+3)=-x^4-2x^2-3x.  We are going to put this product right under our previous product.

x^3+2x+3

*(x^3-x+1)

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

x^3+2x+3

-x^4-2x^2-3x  

We still have one more multiplication but before we do that I'm going to put some 0 place holders in and get my like terms lined up for the later addition:

x^3+2x+3

*(x^3-x+1)

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

0x^4+x^3+0x^2+2x+3

-x^4+0x^3-2x^2-3x+0  

Now for the last multiplication, we are going to take the top expression and multiply it to x^3 giving us x^3(x^3+2x+3)=x^6+2x^4+3x^3. (I'm going to put this product underneath our other 2 products):

x^3+2x+3

*(x^3-x+1)

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

0x^4+x^3+0x^2+2x+3

-x^4+0x^3-2x^2-3x+0  

x^6+2x^4+3x^3

I'm going to again insert some zero placeholders to help me line up my like terms for the addition.

x^3+2x+3

*(x^3-x+1)

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

0x^6+0x^4+x^3+0x^2+2x+3

0x^6-x^4+0x^3-2x^2-3x+0  

x^6+2x^4+3x^3+0x^2+0x+0

----------------------------------------------------Adding the three products!

x^6+x^4+4x^3-2x^2-x+3

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Which expression is equivalent to 16a + 24b
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How many complex zeros does the polynomial function have? F(x)=2x^4 +5x^3 - x^2 +6x-1

If t=8 and e=3 what is t/2 +3e

Answers

(t)/(2) + 3e \n =(8)/(2) + 3(3) \n =4 + 9 \n =13

Suppose y is a positive integer.If x-(-y)=z will z be greater than x ?

Answers

Integers are all numbers without decimal point.

z will always be greater than x

Given that:

x - (-y)=z

Open the bracket

x + y=z

Rewrite as:

z =x + y

From the question, we understand that y is positive.

This means that, irrespective of whether x is positive or negative; the value of z will always be greater than x.

Read more about integers at:

brainly.com/question/1768254

Answer:

Yes, z will be greater than x.

Step-by-step explanation:

Given expression is x- (-y)=z \ for \ y \ is \ a \ positive \ integer.

now let y = 2 and x = 1

Then, x- (-y)=z \n1+2 = 3 \n\n

where z> x i.e. 3 > 1

on simplifying the given  expression in terms of y

y=z-x

now suppose if x = 7 and z=3 then,

y = (z-x) = (3-7) = (-4)

which gives value of y in terms of negative integer which is not possible according to the given statement since y is a positive integer. Therefore, if y is a positive integer then  z will be greater than x.

Stephen has been saving money to buy a new car. The new car costs $21,920.00. He has to pay 17.25% in taxes based off the cost of the car. If he also purchases an extended warranty for $1,200.00, what is a reasonable estimate for the total price of the car?sorry the numbers were mixed up!

Answers

The total price of the car is $26901.20

Step-by-step explanation:

It is given that,  

  • The cost of the new car = $21,920.00
  • The tax percent for the cost of the car = 17.25%
  • He also purchases an extended warranty for the car = $1,200.00

To find the total price of the car :

Total Price = cost of the car + Tax cost + warranty cost.

The cost of the car and warranty cost are already given. So, we need to calculate the Tax amount paid for the car.

Tax amount = 17.25% of $21,920.00

⇒ 17.25/100 × 21,920.00

⇒ 0.1725 × 21,920

⇒ 3781.2 dollars.

Therefore, the cost of tax is $3781.2

Now, coming to the total price of the car,

Total Price ⇒ 21,920.00 + 3781.20 + 1200.00  = 26901.20  dollars.

The total price of the car is $26901.20

If 8 widgets equal 4 curlicues and2 curlicues equal 3 goof-ups,then
16 widgets equal how many goof-ups?

Answers

so 8w=4c and 2c=3g. divide the first equation by 2 and you get 4w=2c. merge the two equation give you 4w=2c=3g, or 4w=3g. multiply 4 on both sides give you 16w=12g. So 16 widgets equal how 12 goof-ups?

Hey can you help me round the fallowing numbers to the nearest 10

Answers

10
20
30 there u go
that the rounding

What is 23/40 as a percent? Show work please :)

Answers

Answer: 57.5%

Step-by-step explanation:

Because....

23/40 =

23 ÷ 40 =

0.575 =

0.575 × 100/100 =

0.575 × 100% =

(0.575 × 100)% =

57.5%

* Therefor, the correct answer would be 57.5% .

* Hopefully this helps:) Mark me the brainliest:)!!!

Answer:

57.5%

Step-by-step explanation:

first divide 23 by 40

which is 0.575

then multiply 0.575 by 100/100 (it means 1 and is basically just 0.575 times 100%)

which comes out to 57.5

fun fact, if u want to know the decimal of something for example like 24% the decimal of that is .24, cos pretend that the little circle at the top of the line on the percent sign, is just a decimal point, and it rolls 2 digits to the left, so 384% would be 3.84...just a fun fact lol
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