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allochka39001 [22]
3 years ago
7

I am making two kinds of cookies: chocolate chip and lemon cookies.

Mathematics
1 answer:
Shkiper50 [21]3 years ago
8 0

Answer:

Step-by-step explanation:

ljkml

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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
3 years ago
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Jeannie takes inventory of her closet and discovers that she has 8 shirts for every 5 pair of jeans if she has 40 shirts how man
nasty-shy [4]
I think the answer is 40 x 5 is 200
5 0
4 years ago
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200-3.5 x 2.8 what is the product?
stiks02 [169]

Answer:

190.2

Explanation:

3.5x2.8=9.8

200-9.8=190.2

7 0
3 years ago
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Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The of the table is $16 per square feet. How much will it
Andrei [34K]
<span>It will cost her 1,710 dollars because 10 times 17 is 170 and 170 times 16 is $1,710
and i hope this answer helps :) :D :)</span>
7 0
3 years ago
I need help what is 1/9 times 5/4
PtichkaEL [24]

Answer:

5/36

Step-by-step explanation:

5 0
3 years ago
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