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matrenka [14]
3 years ago
9

4x-6+3(2-x)=2x-(x-4) How many solutions are there to this equation?

Mathematics
2 answers:
NeTakaya3 years ago
5 0

Answer:

no solutions

Step-by-step explanation:

Given

4x - 6 + 3(2 - x) = 2x - (x - 4) ← distribute and simplify both sides

4x - 6 + 6 - 3x = 2x - x + 4

x  = x + 4 ( subtract x from both sides )

0 = 4 ← not possible

This indicates the equation has no solution

Svetach [21]3 years ago
3 0

Answer:

No solution (0 solutions)

Step-by-step explanation:

Simplify it as shown below:

4x-6+3(2-x)=2x-(x-4)

4x-6+6-3x=2x-x+4. (on the left side the negative 6 and the positive 6 cancel out, and then combine like terms on both sides)

x=x+4

No solution

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Tapiwa takes 5% more leaves than adam raked. together they raked 697 liters of leaves
Nina [5.8K]
----------------------------------
Define their percentage:
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Adam = 100%
Tapiwa = 100 + 5 = 105%

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Find their total percentage:
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100 + 105 = 205

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Find 1%
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205% = 697 liters
1% = 3.4 liters

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Find 100% (Adam):
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100% = 3.4 x 100
100% = 340 liters

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Find 105% (Tapiwa):
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105% = 3.4 x 105 
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Answer: Tapiwa =  357 liters and Adam = 340 liters.
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8 0
3 years ago
Plz help fifty points
likoan [24]

Answer:

for question 13

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  3. 50
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  7. 50
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Step-by-step explanation:

for 14

    x. 150

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One leg of a 45°-45°-90° triangle measures inches. What is the length of the hypotenuse?
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Step-by-step explanation:

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3 years ago
Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
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