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3 years ago

Find the factors of 3x2 − 33x + 84

2 answers:

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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1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =

inessss [21]

Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

Length of MN ( Base ) = 8
Length of NL ( Hypotenuse ) = 10

$\underline{ \underline{ \text{To \: find}}} :$

Length of LM ( Perpendicular )

$\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :$

$\boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}$

⤑ $\sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }$

⤑ $\sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }$

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Hope I helped ! ツ

Have a wonderful day / night ! ♡

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3 years ago

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Y_Kistochka [10]

Answer:

Step-by-step explanation:

3 0

4 years ago

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The prices of three t-shirts styles are $24, $30 and $36. the probability of choosing a $24 t-shirt is 1/6. the probability of c

Slav-nsk [51]

$\text{Answer} : \text{The expected value of a t-shirt is \$31.}$

Explanation:

Since we have given that

The prices of three t-shirts styles i.e $24, $30, $36 with their probability is given by

$\frac{1}{6}, \frac{1}{2},\frac{1}{3}$

As we know that,

$E(X)= \sum_{1}^{3}x_iP(x_i)$

$\text{where} x_i \text{ is the prices of t- shirts styles}$

Now,

$x_1= \$24 , x_2=\$30 , x_3=$36$

and

$P(x_1)=\frac{1}{6},P(x_2)=\frac{1}{2}, P(x_3)=\frac{1}{3}$

So,

$E(X)= 24\times \frac{1}{6}+30\times\frac{1}{2}+36\times \frac{1}{3}\\=4+15+12\\=31$

So, the expected value of a t-shirt = $31.

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3 years ago

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ElenaW [278]

Answer:

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Step-by-step explanation:

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3 years ago

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In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars

erastovalidia [21]

Answer:

Since there are 4 green bars for every 3 red bars and we are trying to find the number of red bars if there are 200 green bars, we can create the ratio:

4 x : 3 y

Where x is equal to the number of green bars and y is the number of red bars.

We know the number of green bars is equal to 200, so we can divide it by 4, giving us:

200 /4=50

Then we can solve for y , the number of red bars.

// Multiple y by 50

3 ⋅ 50 = 150

So for every 4 green bars, there are 3 red bars.

For every 200 green bars, there are 150 red bars

Step-by-step explanation:

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3 years ago

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