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MAXImum [283]
3 years ago
12

 Find the factors of 3x2 − 33x + 84

Mathematics
2 answers:
timurjin [86]3 years ago
6 0
For these ones I just play around with what I can divide 84 by to equal -33 in the middle. I decided to divide 84 by 4 because it was an even number. 

84/4=21

21+ (3*4)= 33

Answer: (x-4)(3x-21)
Sav [38]3 years ago
3 0

Answer:  The factors of the given expressions are 3, (x-7) and (x-4).

Step-by-step explanation:  We are given to find the factors of the following quadratic expression :

E=3x^2-33x+84~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To find the factors of the given expression, we need to find two integers with sum -33 and product 252.

From (i), we have

E\\\\=3x^2-33x+84\\\\=3x^2-21x-12x+84\\\\=3x(x-7)-12(x-7)\\\\=(x-7)(3x-12)\\\\=3(x-7)(x-4).

Thus, the factors of the given expressions are 3, (x-7) and (x-4).

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grigory [225]

If the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

Given,

The vertices of the triangle = J(-3,-5), K(-2,2) and L(1,-4)

We know,

In reflection in y axis (x,y)  will become (-x,y)

Then the vertices of the reflection in y axis = J(3,-5), K(2,2) and L(-1,-4)

Draw the triangle using the vertices.

Hence, if the vertices of the triangle are J(-3,-5), K(-2,2) and L(1,-4) then its reflection in y axis are J(3,-5), K(2,2) and L(-1,-4)

Learn more about reflection here

brainly.com/question/15487308

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3 0
1 year ago
Matthew earned $75 in interest on
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The formula for simple interest is

I = Prt,

where I is the interest earned,

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r is the interest rate in decimal form, and

t is the time in years.  For us,

I = 75,

P = ?

r = .05

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Filling in what we were given:

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8 0
3 years ago
20x - (-2x) + (-16) = 6<br> Solve for X
lianna [129]

Answer:

Step-by-step explanation:

x = 1

Step 1: Simplify both sides of the equation.

20x−−2x−16=6

20x+2x+−16=6

(20x+2x)+(−16)=6(Combine Like Terms)

22x+−16=6

22x−16=6

Step 2: Add 16 to both sides.

22x−16+16=6+16

22x=22

Step 3: Divide both sides by 22.

22x

22

=

22

22

6 0
2 years ago
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8 0
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Answer:

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Step-by-step explanation:

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