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musickatia [10]
2 years ago
5

-- 18) Is (x - 2) a factor of (x3 - 4x2 + 3x + 2)? Please explain why or why not.

Mathematics
1 answer:
den301095 [7]2 years ago
7 0

Answer:

It is a factor.

Step-by-step explanation:

its definitely a factor

rule: put (x-2)=0

so x = 2

now put this 2 in the equation as x

2^{3} -4*2^{2}+3*2+2

which equals to 0, as a result its a factor

you can check the sum in the calculator by yourself

hope it helps.

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1055 is what i got. have a good day!
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When you go to a restaurant you pay a 15% tip on a $80 bill. How much total did you pay?
kirza4 [7]

Answer:

12 i think. I used a calculator ngl. but I think it's 12$

4 0
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A regular polygon has an exterior angle of 7.5 what is the sum of the interior angle
AVprozaik [17]

Answer:

540

Step-by-step explanation:

8 0
3 years ago
Joel made egg sandwiches and tuna sandwiches in the ratio 2:3. He then made 15 more tuna sandwiches and the ratio changed to 1:3
Aleksandr [31]

Answer:

40 sandwiches

Step-by-step explanation:

egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x


Add 15  tuna sandwiches

2x                       : 3x+15

Now the ratio is 1:3


egg sandwiches : tuna sandwiches

 1                         : 3

Multiply by y  because we do not know how many sandwiches, just the ratio

y                           : 3y


Set the number of egg sandwiches equal

2x =y

then set the number of tuna sandwiches equal

3x+15 = 3y

We know have a system of 2 equations and 2 unknowns

Substitute y =2x into the second equation

3x+15 = 3(2x)

Distribute

3x+15 = 6x

Subtract 3x from each side

3x-3x+15 = 6x-3x

15 =3x

Divide by 3

15/3 = 3x/3

5 =x


egg sandwiches : tuna sandwiches

 2                         : 3

Multiply by x  because we do not know how many sandwiches, just the ratio

2x                       : 3x

2*5                        3*5

10                             15


He originally made 10 egg sandwiches and 15 tuna sandwiches

Then he made 15 more tuna sandwiches

The total number of sandwiches he made is

10+15+15 = 40 sandwiches  




5 0
3 years ago
Two sides of an isosceles triangle have lengths of 3 and 10. Find the length of the third side.
lora16 [44]

Answer:

The third side must be 10:  {3, 10, 10}; {10, 3, 3} is not possible.

Step-by-step explanation:

Everything depends on our understanding of "isosceles."

This term indicates that two sides of a given triangle are equal.

If two sides of an isosceles triangle have lengths of 3 and 10, then:

Either 1)  Two sides have length 10 and the third side has length 3.  This is certainly possible

or

2)  sides have length 3 and the third side has length 10.  This is NOT possible, since 3 + 3 adds up to 6, which is less than 10.

8 0
3 years ago
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