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EastWind [94]
2 years ago
12

Which Question Has roots of x= -2 and x

Mathematics
1 answer:
vazorg [7]2 years ago
4 0

See explanation below.

Explanation:

The 'difference between roots and factors of an equation' is not a straightforward question. Let's define both to establish the link between the two..

Assume we have some function of a single variable

x

;

we'll call this

f

(

x

)

Then we can form an equation:

f

(

x

)

=

0

Then the "roots" of this equation are all the values of

x

that satisfy that equation. Remember that these values may be real and/or imaginary.

Now, up to this point we have not assumed anything about

f

x

)

. To consider factors, we now need to assume that

f

(

x

)

=

g

(

x

)

⋅

h

(

x

)

.

That is that

f

(

x

)

factorises into some functions

g

(

x

)

×

h

(

x

)

If we recall our equation:

f

(

x

)

=

0

Then we can now say that either

g

(

x

)

=

0

or

h

(

x

)

=

0

.. and thus show the link between the roots and factors of an equation.

[NB: A simple example of these general principles would be where

f

(

x

)

is a quadratic function that factorises into two linear factors.

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topjm [15]
Ok so it's a proportion so this fraction is to this fraction. the smaller rectangle has sides 4 and 12. the larger one has 8 and x. so u set it up 4/12=8/x. the 4 and 8 r both the short sides so u want those on top and 12 and x r long sides so those on bottom. since that is not an answer option u can set it up as 8/4=x/12 because u still keep the variables of the same rectangle from being multipled with each other. so answer #2 is correct
4 0
3 years ago
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A pair of grant high school hockey fans counted the number of games won by the school each year
Mrrafil [7]

Answer:

8

Step-by-step explanation:

2015: 9 games won

2014: 1 game won

rate of change = 2015 games won - 2014 games won

rate of change = 9 - 1

rate of change = 8

5 0
2 years ago
Is b+b+b+c+c+c is a equivalent expression?<br> A. True <br> B. False
Rama09 [41]

Answer:

A. True

Step-by-step explanation:

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5 0
3 years ago
If Ben invests $4500 at 4% interest per year, how much additional money must he invest at 5 1/2% annual interest to ensure that
pogonyaev

Step \; 1: \; Assing \; variable \; for \; the \; unknown \; that \; we \; need \; to \; find.\\Let \; x \; be \; additional \; money \; invested

Step \; 2: \; Use \; the \; appropriate \; formula \; of \; simple \; interest \; set \; up \; an \; equation\\Interest \; earned \; each \; year = \; Amount \; invested \times annual \; rate \; of \; interest\\\\Amount \; invested \; in \; 4 \% \; rate \; of \; interest=\$4500\\Amount \; invested \; in \; 5\frac{1}{2}\% \; rate \; of \; interest= \$x\\Amount \; invested \; totally \; in \; 4\frac{1}{2}\% \; rate \; of \; interest = \$(4500+x)

Interest \; earned \; in \; 4\% \; interest \; rate\\ = \; 4500(4\%)=180\\Interest \; earned \; in \; 5\frac{1}{2}\% \; interest \; rate\\ = x(5\frac{1}{2}\%)=0.055x\\Interest \; earned \; totally \; in \; 4\frac{1}{2}\% \; interest \; rate = (4500+x)(4\frac{1}{2}\%)\\=0.045(4500+x)

\\\\So, \; the \; equation \; would \; be:\\180+0.055x=0.045(4500+x)

Step \; 1: \; Distribute \; 0.045 \; in \; the \; right \; side\\180+0.055x=202.5+0.045x\\\\Step \; 2: \; Subtract \; 0.045x \; and \; 180 \; on \; both \; sides \; to \; get \; x \; alone\\0.055x-0.045x=202.5-180\\\\Step \; 3: \; Combine \; Like \; Terms\\0.01x=22.5\\\\Step \; 4: Divide \; 0.01 \; on \; both \; sides\\\frac{0.01x}{0.01}=\frac{22.5}{0.01}\\\\Step \; 5: \; Simplifying \; fraction \; on \; both \; sides\\x=2250

\underline{Conclusion:}\\Ben \; should \; invest \; additional \; money \; of \; \$2250

5 0
3 years ago
Please help. ASAP. This is so confusing.
Anni [7]

1. right triangle?

-> c²= g²+b²

c²= 20²+21²

c²= 841

c=V841

c=29

-> triangle BCG is right

2.

cos B= 20/29

tan B= 21/20

sin B= 21/29

sin G= 20/29

cos G= 21/29

tan G= 20/21

3 0
2 years ago
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