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3 years ago

List the first twenty counting numbers in base nine

1 answer:

4 0

$1_{10}=1_9$
$2_{10}=2_9$
$3_{10}=3_9$
$4_{10}=4_9$
$5_{10}=5_9$
$6_{10}=6_9$
$7_{10}=7_9$
$8_{10}=8_9$
$9_{10}=10_9$
$10_{10}=11_9$
$11_{10}=12_9$
$12_{10}=13_9$
$13_{10}=14_9$
$14_{10}=15_9$
$15_{10}=16_9$
$16_{10}=17_9$
$17_{10}=18_9$
$18_{10}=20_9$
$19_{10}=21_9$
$20_{10}=22_9$

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Select all polynomials that have (x-3) as a factor.

Alchen [17]

Answer:

Below.

Step-by-step explanation:

Substitute x = 3 into each polynomial and see if the value of the polynomial is zero. If it is zero then x-3 is a factor.

Try number 1:

a(x) = x^3 - 2x^2 - 4x + 3

a(3) = 3^3 - 2(3)^2 - 4(3) + 3

= 27 - 2(9) - 12 + 3

= 27 - 18 - 12 + 3

= 9 - 18 - 9

= 27 - 27

= 0

So a(x) has (x-3) is a factor of a(x)

The other 3 polynomials are solved in the same way.

8 0

2 years ago

The length of a rectangle field is represented by the expression 14 X minus 3X squared +2 Y. The width of the field is represent

Assoli18 [71]

Answer:

$9x+4x^2-5y$

Step-by-step explanation:

Hi there!

Length of the field: $14x-3x^2+2y$ units

Width of the field: $5x-7x^2+7y$ units

To find how much greater the length of the field is than the width, subtract the width from the length:

$14x-3x^2+2y-(5x-7x^2+7y)$

Open up the parentheses

$= 14x-3x^2+2y-5x+7x^2-7y$

Combine like terms

$= 14x-5x-3x^2+7x^2+2y-7y\\= 9x+4x^2-5y$

Therefore, the length is $9x+4x^2-5y$ units greater than the width.

I hope this helps!

7 0

2 years ago

500(x - 3) = 5000<br><br><br><br> x = _____

olya-2409 [2.1K]

Answer:

Step-by-step explanation:

500(x - 3) =5000

x - 3 = 5000/500

x - 3 = 10

x = 10 + 3

x = 13

6 0

3 years ago

The carnival committee purchased 985 small prizes. The prizes are to be divided equally among the 20 game

lakkis [162]

Answer:

49 prizes each, with 5 left

Step-by-step explanation:

985/20 is 49 with 5 left over.

6 0

2 years ago

Help please!

bagirrra123 [75]

(d): y = mx+n

m = -2/3 ⇒ y = (-2/3)x +n

A(-4, 6) ∈ d ⇒ 6 = (-2/3)·(-4) +n ⇒ 6 = 8/3 +n ⇒

⇒ n = 6 - 8/3 ⇒ n = 10/3

Now, we have:

y = (-2/3)x +10/3

6 0

3 years ago