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kati45 [8]
3 years ago
11

10^1 has what place value?

Mathematics
2 answers:
Oxana [17]3 years ago
6 0
It is in the ten's place. hope that helped
Vsevolod [243]3 years ago
6 0
Yeah the ten's place
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What are the quotient and remainder of (x^5-x^3+-5) divided by (x-2)
pishuonlain [190]

Answer:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

Step-by-step explanation:

You can do this through synthetic division. It is a shorthand way of dividing polynomials.

First you need to make your divisor equal to zero so you can solve for what goes into the division box:

x - 2 = 0 →     x = 2

The next step is to arrange your polynomials in descending powers. All missing terms, you will put in a zero.

x⁵ - x³ + (-5)   →  x⁵ + 0x⁴- x³ + 0x² + 0x + (-5)

Now you can proceed to synthetic division. Make an upside down division box with the divisor outside and the coefficients of the dividend listed, along with their sign. Leave a space below the divident

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

Next you bring down the first coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>                                              </u>

        +1    

Then you multiply it by the divisor and write the product under the next coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>           +2                                   </u>

        +1    

Next add the column and put the sum below it:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2                                   </u>

        +1    +2

Then multiply again and repeat until you reach the last coefficient:

+2 |   +1     0     -1     0     0     -5

    |<u>          +2    +4   +6   +12   +24 </u>

        +1    +2    +3   +6   +12    +19

Now that you have your results, add  in the x and their powers. The powers will start with the highest power but 1 less than the dividend. Since the dividend's highest power is 5, then the quotient's highest power will be 4. Then write it in descending order :

+1x⁴    +2x³    +3x²   +6x   +12   +19

Now the last coefficient is your remainder. So your results will be:

x⁴+2x³ +3x²+6x +12 r. \dfrac{19}{x-2}

7 0
3 years ago
Read 2 more answers
The larger of two numbers is 15 more than three times the smaller number. If the sum of the two numbers is 63, find the numbers
Amanda [17]

Answer:

The smaller number equals 12, the larger number equals 51.

Step-by-step explanation:

x + (3x + 15) = 63

Combine like terms.

4x + 15 = 63

Subtract 15 from both sides.

4x + (15 -15) = (63 - 15)

4x = 48

Divide both sides by 4.

4x/4 = 48/4

x = 12

Check answer.

12 + (3(12) + 15) = 63

12 + 36 + 15 = 63

63 = 63

7 0
3 years ago
A survey of 500 likely voters showed that 385 felt that the economy was the most important national issue. Find a point estimate
Dovator [93]

Answer:

Option B

Step-by-step explanation:

Given that a survey of 500 likely voters showed that 385 felt that the economy was the most important national issue.

Sample size n = 500

favor who feel the ecomomy is the most important national issue x= 385

Sample proportion = \frac{x}{n} \\=0.77

Sample proportion would be the point estimate for population proportion of voters who feel the ecomomy is the most important national issue.

Hence the point estimate (p-hat0 for p, the population proportion of voters who feel the ecomomy is the most important national issue

is 0.77

(option B)

4 0
3 years ago
F(x)=2x+1/x-1 then f^-1(1)​
olasank [31]

Answer:

  • f⁻¹(x) = (x + 1) / (x - 2)
  • f⁻¹(1 ) = - 2

Step-by-step explanation:

<u>Given function:</u>

  • f(x) = (2x + 1) / (x - 1)

<u>Find its inverse, substitute x with y and f(x) with x, solve for y:</u>

  • x = (2y + 1) / (y - 1)
  • x(y - 1) = 2y + 1
  • xy - x = 2y + 1
  • xy - 2y = x + 1
  • y(x - 2) = x + 1
  • y = (x + 1) / (x - 2)

<u>Substitute y with f⁻¹(x):</u>

  • f⁻¹(x) = (x + 1) / (x - 2)

<u>Find  f⁻¹(1 ):</u>

  • f⁻¹(1 ) = ( 1 + 1) / (1 - 2) = 2 / - 1 = - 2
6 0
2 years ago
Adjacent i need help understanding this
Cerrena [4.2K]

Answer:

The definition of adjacent in math can mean a couple of different things. For angles, adjacent angles would be any two angles that share a side. In other words, two angles right next to each other.

A more broad meaning is just any two geometric shapes that are next to each other in a figure.

8 0
2 years ago
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