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sleet_krkn [62]
4 years ago
11

8x^3 -10x^2 +3x=0 please solve for x

Mathematics
2 answers:
gregori [183]4 years ago
8 0
\bf 8x^3-10x^2+3x=0\implies x(8x^2-10x+3)=0
\\\\\\
x(2x-1)(4x-3)=0\implies 
\begin{cases}
x=0\implies &x=0\\\\
2x-1=0\implies 2x=1\implies &x=\frac{1}{2}\\\\
4x-3=0\implies 4x=3\implies &x=\frac{3}{4}
\end{cases}
serg [7]4 years ago
4 0
So x would equal to x=0, 3/4, 1/2
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A 50% sucrose solution lost 255 mL by evaporation. After evaporation what is the sucrose concentration in the remaining 300 mL?
Len [333]

Answer: 92.50%

From the given problem, we can say that the total volume of the concentration is:

255\text{ mL}+300\text{ mL}=555\text{ mL}

The initial volume of the solution is 555 mL. After the evaporation, the 50% sucrose solution lost 255 mL.

To find the concentration of the remaining 300 mL, we will use the following formula:

C_1V_1=C_2V_2

Where:

C₁ = initial concentration

C₂ = final concentration

V₁ = initial volume

V₂ = final volume

From the given, we know that:

C₁ = 50% = 0.50

C₂ = ?

V₁ = 555 mL

V₂ = 300 mL

Substitute these to the formula and we will get:

\begin{gathered} C_{1}V_{1}=C_{2}V_{2} \\ (0.50)(555)=C_2(300) \\ C_2=\frac{(0.50)(555)}{(300)} \\ C_2=0.925=92.50\% \end{gathered}

Therefore, we can say that the sucrose concentration in the remaining 300mL is 92.50%

5 0
1 year ago
Make f the subject of the formula c=<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%28f-32%29%7D%7B9%7D" id="TexFormula1" title="\
lara31 [8.8K]

Answer:

f=\frac{9c}{5}+32

Step-by-step explanation:

c=\frac{5\left(f-32\right)}{9}

Switch sides:

\frac{5\left(f-32\right)}{9}=c

Multiply both sides by 9:

\frac{9\times5\left(f-32\right)}{9}=9c

5\left(f-32\right)=9c

Divide both sides by 5:

\frac{5\left(f-32\right)}{5}=\frac{9c}{5}

f-32=\frac{9c}{5}

Add 32 to both sides:

f-32+32=\frac{9c}{5}+32

f=\frac{9c}{5}+32

8 0
4 years ago
The sum of two numbers is 105 if the larger number in 13 more than the smaller number
pshichka [43]

The numbers that add up to 105 if one is 13 more than the other one is

59 and 46

46 being the smaller number

59 being the number that's 13 more than the first

4 0
3 years ago
Solve each system.<br> y=7-3x<br> 3x+y=10
ad-work [718]

Answer: 0 = 3

Step-by-step explanation: If y = 7 - 3x, we can plug that in for y in the equation 3x + y = 10 by writing it as 3x + 7 - 3x = 10.

                                                                    - 7            - 7

                                                               --------------------------

                                                               3x - 3x        = 3

                                                                       0          = 3

4 0
3 years ago
2x-3=1/3(5-g) solve for the given variable G
Dimas [21]
Do u have the answer? because I'm not sure

5 0
3 years ago
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