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lapo4ka [179]
3 years ago
12

Find the solutions to the equation below.

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0

Answer:

X=1/2. X=4/3

Step-by-step explanation:

6x2+5X-4=0

6X2+8X-3X-4=0

2x(3x+4) - 1(3x+4)=0

2x-1) (3X-4)

X=1/2. X=4/3

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Use the quadratic formula to solve for x.
ivann1987 [24]

Answer:

x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

Step-by-step explanation:

Solve for x:

6 x^2 - 4 x = 1

Divide both sides by 6:

x^2 - (2 x)/3 = 1/6

Add 1/9 to both sides:

x^2 - (2 x)/3 + 1/9 = 5/18

Write the left hand side as a square:

(x - 1/3)^2 = 5/18

Take the square root of both sides:

x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3

Add 1/3 to both sides:

Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3

5 0
3 years ago
Henry has 15 lawns mowed out of 60 lawns. What percent of the lawns does Henry still have to mow?
nata0808 [166]
Using <em>is/of=%/100 </em> 15 lawns is what % of 60
15 over 60 = % over 100
Cross multiple and divide and you should get 25%
That percent means that 25% of the lawns <em>are</em> mowed, so <u>75% </u><u></u> of the lawns need to be mowed
<em>
</em>
8 0
3 years ago
Jamal is a door to door vacuum salesman. His weekly salary, S , is $250 plus $50 for each vacuum he sells. This can be written a
Aleks04 [339]

Answer:

31 vacuums

Step-by-step explanation:

1800 = 250 + 50v

1800 - 250 = 50v

50v = 1550

v = 1550 / 50

v = 31

He sold 31 vacuums.

8 0
3 years ago
An experienced carpenter can frame a house twice as fast as an apprentice. Working together, it takes the carpenters 2 days. How
AleksAgata [21]

Answer:

<em>6 days</em>

<em></em>

Step-by-step explanation:

Let the time taken by Carpenter working alone = C days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2C days

Time taken working together = 2 days

Work done in one day working together = \frac{1}{2}

Work done in one day by Carpenter working alone = \frac{1}{C}

Work done in one day by apprentice working alone = \frac{1}{2C}

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  \frac{1}{C}+\frac{1}{2C} = Work done in one day working together = \frac{1}{2}

\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 \times 2= <em>6 days</em>

4 0
3 years ago
Spencer is going snowboarding. He rode the ski lift to the top of the mountain,
Marina CMI [18]
Not sure but good luck 25•
5 0
3 years ago
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