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kifflom [539]
2 years ago
10

Does anybody have an answer for this right away!!!

Mathematics
1 answer:
sveticcg [70]2 years ago
3 0

Answer:

there is no image

Step-by-step explanation:

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If f(1) = 0, what are all the roots of the function f(x)=x^3+3x^2-x-3? Use the Remainder Theorem.
Sophie [7]
There's no if about it, 

f(x)=x^3+3x^2-x-3


has a zero f(1)=0 so x-1 is a factor.   That's the special case of the Remainder Theorem; since f(1)=0 we'll get a remainder of zero when we divide f(x) by x-1.

At this point we can just divide or we can try more little numbers in the function.  It doesn't take too long to discover f(-1)=0 too, so  x+1 is a factor too by the remainder theorem.  I can find the third zero as well; but let's say that's out of range for most folks.

So far we have 

x^3+3x^2-x-3 = (x-1)(x+1)(x-r)

where r is the zero we haven't guessed yet.  Again we could divide f(x) by (x-1)(x+1)=x^2-1 but just looking at the constant term we must have

-3 = -1 (1)(-r) = r

so

x^3+3x^2-x-3 = (x-1)(x+1)(x+3)

We check f(-3)=(-3)^3+3(-3)^2 -(-3)-3 = 0 \quad\checkmark

We usually talk about the zeros of a function and the roots of an equation; here we have a function f(x) whose zeros are

x=1, x=-1, x=-3

8 0
2 years ago
Read 2 more answers
Math help please and don’t look at the top right whatever you do!
Serggg [28]

Answer:

87.88 ft

Step-by-step explanation:

Base x height divided by 2

16.9 ft x 10.4 ft divided by 2 = 87.88 ft

hope this helps:)

8 0
2 years ago
What is the order of operation for 2(9 + 7)?
shepuryov [24]

the answer is 32 because you add 9 plus 7 then you multiply tha th # by 2

6 0
3 years ago
Read 2 more answers
Select all the solutions to (x - 2)2 = -16.
slamgirl [31]

Answer:

d and g

Step-by-step explanation:

Given

(x - 2)² = - 16 ( take the square root of both sides )

x - 2 = ± \sqrt{-16} = ± \sqrt{16(-1)} = ± 4i ( add 2 to both sides )

x = 2 ± 4i

Thus

x = 2 + 4i → (d)

x = 2 - 4i → (g)

4 0
2 years ago
3 adult tickets and 1 child ticket to a play cost $38. 3 adult and 3 children tickets cost $52. what does each ticket cost?
babymother [125]
A= adult
C= child

3A+C = 38.3
A+3C = 52

There is no logical way to find the value of each other than guess-and-check.

5 0
3 years ago
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