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Kazeer [188]
3 years ago
6

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

Mathematics
1 answer:
Alchen [17]3 years ago
8 0

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.

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Please help me out and explain with steps thank you.
Lana71 [14]

Answer:

at matilda's new job, she will make a rounded salary of $69,000 per year.

Step-by-step explanation:

when solving a problem like this, you have to take her current salary ($64,000 per year) and multiply it to the salary increase percentage by first turning the percentage into a decimal. to turn the percentage into a decimal, you imagine a tiny dot to the right of the 8 like this:

8.

and then you have to move that little dot to the left two times recreating it into .08. you multiply .08 (the salary increase percentage) by her current salary ($64,000) and then also add that number to matilda's current salary to come up with the answer you can round. I'll give you an example of my proscess just so I can give a clear visual of my explanation.

step one:

$64,000

x .08

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

5,120

step 2:

$64,000

+$5,120

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

$69,120

step 3:

$69,120 is rounded up to the nearest thousands is approximately $69,000

answer: $69,000

6 0
3 years ago
A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s
AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

C = 16.2*10,000*10 = 1,620,000\ m^3

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

V=52*(5*0.5*765)\\V=99,450\ m^3

The expected life of the landfill is given by its capacity divided by the yearly volume:

L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years

The landfill has an expected life of 16.3 years.

6 0
3 years ago
If She has 12 apples and 17 oranges how many is the total
dmitriy555 [2]

12 + 17 = 29
7 0
3 years ago
Read 2 more answers
find three numbers whose sum is 32 if the second is 1 more than the first and the first is 4 less than the third
Alex777 [14]
X+y+z=32
x=z-4
y=x+1
z=x+4
x+x+1+x+4=32
3x+5=32
3x=27
x=9
y=10
z=13

Hope this helps :)
7 0
3 years ago
Two number cubes are rolled in a board game. What is the probability that both number cubes land on the same number?
allsm [11]
50% chance they will land on the same number and there’s also a 50% chance they won’t.
5 0
3 years ago
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