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labwork [276]
2 years ago
7

Geometry help please

Mathematics
1 answer:
Romashka [77]2 years ago
7 0

Answer:

Step-by-step explanation:

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What is the remainder to x^3+4x^2+x-6 divided by (x-1)
serg [7]

x^3=x^2\cdot x, and x^2(x-1)=x^3-x^2. This gives a remainder of

(x^3+4x^2+x-6)-(x^3-x^2)=5x^2+x-6

5x^2=5x\cdot x, and 5x(x-1)=5x^2-5x. This gives a new remainder of

(5x^2+x-6)-(5x^2-5x)=6x-6

6x=6\cdot x, and 6(x-1)=6x-6. This gives a new remainder of

(6x-6)-(6x-6)=0

and so there is no remainder.

###

Quicker method: Use the polynomial remainder theorem, which says the remainder upon dividing a polynomial p(x) by x-c is p(c). Here we have

p(x)=x^3+4x^2+x-6

c=1\implies p(c)=1+4+1-6=0

5 0
4 years ago
Ms. Winter makes homemade bath soaps and bottles of lotion. In her inventory, she has 48 bath soaps and 64 bottles of lotion. Sh
alekssr [168]

first you want to divide both numbers by 16, as the both can divided evenly with that number. you would get the ratio 3:4, which is your answer. ms winter can put 3 bath soaps and 4 bottles of lotion in each basket.

8 0
3 years ago
Is 4,9,16 an arithmetic or geometric sequence?
BaLLatris [955]
I think it’s neither ??
3 0
3 years ago
Sally soccer team play 25 games in 117 of them. What percentage of the team win
suter [353]

(Its 17 of them actually)

p=percent

17/25=p/100

So 25*4=100.

so that means that we need to multiply the numerator 17 by 4 also. 17*4=69.

So, they won 68% of their games.

Hope this helps :^)

8 0
4 years ago
Translate: 4 less than a number<br><br> A.) 4&gt;n<br> B.) n-4<br> C.) 4-n
Rzqust [24]

Answer:

b. n-4

Step-by-step explanation:

a number=n

4 less than it =n-4

8 0
4 years ago
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