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san4es73 [151]
3 years ago
5

Can you make this into a word problem! thank you!

Mathematics
1 answer:
notsponge [240]3 years ago
4 0

Answer:

you need to simplify it then you can say that he had marbles and then lost __ then got ___

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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
Read 2 more answers
Dori and Nemo go to Taco Bell for lunch. Dori orders three soft tacos and three double Deckers $11.25. Nemiah pays $10 for four
gavmur [86]

Answer:

Dori:3x+3y=11.25

Nemo:4x+2y=10

Step-by-step explanation:

Let x and y represent tacos and double Deckers respectively.

For three tacos and three double Deckers, Dori pays $11.25

Writing an equation the statement, we obtain

3x+3y=11.25

Also,for four tacos and two double Deckers, Nemo pays $10

This implies

4x+2y=10

4 0
3 years ago
The following steps are used to rewrite the polynomial expression, 3(x + 4y) + 5(2x - y).
ololo11 [35]

Answer:

step1 - distributive property

step2 - associative property

step3 - cumulative property

step4 -  associative property

Step-by-step explanation:

3 0
2 years ago
the circumference of a circle is c centimeters the diameter of the circle is 13 centimeters what expression best represents the
Blababa [14]

Answer:

C/13 = pi

Step-by-step explanation:

7 0
3 years ago
I need both will give brainliest.
saw5 [17]

Answer:

Step-by-step explanation:

Standard form: Ax+By=C

Change C to 53

Ax+By=53

He could have added a combination of $1 bills and $5 bills or just $1 bills.

I hope this is right

6 0
3 years ago
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