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shtirl [24]
2 years ago
7

Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

all that apply.Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check all that apply.
Mathematics
1 answer:
olasank [31]2 years ago
3 0
We have the expression:
3x(x-12x) + 3x^2 - 2(x-2)^2

First, we will expand the power 2 bracket as follows:
3x(x-12x) + 3x^2 - 2(x^2 - 4x +4)

Then, we will get rid of the brackets as follows:
3x^2 - 36x^2 + 3x^2 - 2x^2 + 8x - 8

Now, we will gather the like terms and add them as follows:
-32 x^2 + 8x - 8

We can take the 8 as a common factor:
8 ( -4x^2 + x -1)
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A farmer plants corn in 1/4 of his field. He plants white corn in 3/5 of the corn
bija089 [108]

Answer:

\frac{3}{20}

Step-by-step explanation:

Fraction of the total that is for corn (TC - Total corn):

TC=\frac{1}{4}

fraction of the corn section that is for white corn (WC - white corn in the corn seccion):

 WC=\frac{3}{5}

we need to find the fraction of the whole field that is for the white corn.

For this we need to find how much is \frac{3}{5} out of the \frac{1}{4} destinated to corn, and this will be the fraction of the total that is for white corn. We find this fraction by multiplying the fraction of corn (\frac{1}{4}) by the fraction of white corn in the corn section (\frac{3}{5}).

I will call the total fraction of white corn TWC, thus:

TWC=WC*TC=\\=\frac{3}{5} *\frac{1}{4} \\\\=\frac{3*1}{5*4} \\\\=\frac{3}{20}

the answer is: \frac{3}{20} of the whole field is planted with white corn

5 0
2 years ago
Use pictures or word to explain how you can find the sum for 3+5+2
fomenos
3 plus 5 plus 2 is 10 because if you add 3 plus 5, it equals to 8 and 8+2 equals to 10.
6 0
2 years ago
Read 2 more answers
A box of 20 Crunchy Munchy cookies costs $2.50 and a box of 40 Crunchy Munchy cookies costs $4.00. One quart of milk costs $1.50
Otrada [13]
20 crunchy munchy=2.50  this means 2.50/20=0.125 cents per candy (i assume is candy)
40 crunchy munchy=4.00  4/40=0.100 cents per candy - this is cheaper than previous one
 1 quart of milk =1.50 dollars
you cant actuality compare candy to milk
3 0
2 years ago
Read 2 more answers
Mr Hughes is competing in the Mr. Legs campaign to raise money for the coral shores high school scholarship fund. On the first d
lakkis [162]
<span>The number of dollars collected can be modelled by both a linear model and an exponential model. To calculate the number of dollars to be calculated on the 6th day based on a linear model, we recall that the formula for the equation of a line is given by (y - y1) / (x - x1) = (y2 - y1) / (x2 - x1), where (x1, y1) = (1, 2) and (x2, y2) = (3, 8) The equation of the line representing the model = (y - 2) / (x - 1) = (8 - 2) / (3 - 1) = 6 / 2 = 3 y - 2 = 3(x - 1) = 3x - 3 y = 3x - 3 + 2 = 3x - 1 Therefore, the amount of dollars to be collected on the 6th day based on the linear model is given by y = 3(6) - 1 = 18 - 1 = $17 To calculate the number of dollars to be calculated on the 6th day based on an exponential model, we recall that the formula for exponential growth is given by y = ar^(x-1), where y is the number of dollars collected and x represent each collection day and a is the amount collected on the first day = $2. 8 = 2r^(3 - 1) = 2r^2 r^2 = 8/2 = 4 r = sqrt(4) = 2 Therefore, the amount of dollars to be collected on the 6th day based on the exponential model is given by y = 2(2)^(5 - 1) = 2(2)^4 = 2(16) = $32</span>
4 0
2 years ago
Read 2 more answers
Josh can split a truckload of logs in 8 hours, but working with his dad, they can get it done in 3 hours. How long would it take
grin007 [14]

Answer: 4.8 hrs

<u>Step-by-step explanation:</u>

Josh: \frac{1}{8}

Dad: \frac{1}{x}

Together: \frac{1}{3}

Josh + Dad = Together

\frac{1}{8} + \frac{1}{x} = \frac{1}{3}

\frac{1}{8}*(24x) + \frac{1}{x}*(24x) = \frac{1}{3}(24x)

 3x + 24 = 8x

<u> -3x         </u>  <u> -3x </u>

         24 = 5x

       <u> ÷5  </u>   <u>÷5  </u>

        4.8 = x

3 0
2 years ago
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