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Nana76 [90]
3 years ago
7

Please answer all! I appreciate it

Mathematics
1 answer:
irga5000 [103]3 years ago
4 0

1.7(a+3)

2.5(x-1)

3.prime

4.3(5p-9)

5.3(15k-4)

6.8(3p+1)

7.47-5-2m+8m=42+6m=6(7+m)

8.2*10a-2*7b-10b-2a

20a-14b-10b-2a

18a-24b=6(3a-4b)

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Step-by-step explanation:

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Ella has 0.5 lbs of sugar. How much water should she add to make the following concentrations? Tell Ella how much syrup she will
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Ella has to add 32.833 lbs of water to get 33.333 lbs of syrup.

<u>Solution:</u>

Ella has 0.5 lbs of sugar. Let x lbs be the amount of water Ella should add to get the 1.5% of syrup,

\Rightarrow0.5\text{ lbs }- 1.5\%

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On writing the proportion,

\Rightarrow\dfrac{0.5}{x+0.5}=\dfrac{1.5}{100}\\ \\\Rightarrow0.5\cdot 100=(x+0.5)\cdot 1.5\\ \\\Rightarrow50=1.5x+0.75\\ \\\Rightarrow1.5x=50-0.75\\ \\\Rightarrow1.5x=49.25\\ \\\Rightarrow x=\dfrac{49.25}{1.5}\approx 32.833\ lbs

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Factor the polynomial F(x) =x^3-x^2-4x+4 completely.
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Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

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PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

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