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3 years ago

Solve the equation using the ZeroProduct Property. 6x(3x + 1) = 0

1 answer:

4 0

$\displaystyle \\ 
6x(3x + 1) = 0 \\ \\ 
\Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \\ \\ 
6x = 0 ~~\Longrightarrow ~~ x_1 = \frac{0}{6} = \boxed{0} \\ \\ 
3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1 ~~\Longrightarrow ~~ x_2 = \frac{-1}{3} = \boxed{-\frac{1}{3}} \\ \\$

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X|x integars between 4 & 8 lost the elements in the set<br>

Paladinen [302]

Answer:

The set of integer between 4 and 8 = { 5, 6, 7 }.

Step-by-step explanation:

Set:

A set is a well-defined collection of distinct objects, elements encloses in curly bracket.

For example.

set of vowels = { a, e, i, o, u }

set of any three Capital alphabets = { A, B ,Z }

set of cars = { Ferrari, Volvo, Mercedes, Audi }

Now we want set of integer between 4 and 8

Integer: All the positive and negative natural numbers are called integers.

-1, -2, -3, 1, 2, 3, 4, 5, 6 ,7 , 8 ..

The set of integer between 4 and 8 = { 5, 6, 7 }.

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3 years ago

A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs

Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

$\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}$

We know, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$

According to the question,

$\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}$

Taking LCM and 6 common

$6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}$

Take 6 to another side,

$\frac{9}{9x-x^2}=\frac{8}{3\times 6}$

Cross multiply,

$9\times 18=8\times(9x-x^2)$

$162=72x-8x^2$

Taking 4 common and cancel out

$4x^2-36x+81=0$

Solve quadratic equation by middle term split,

$4x^2-18x-18x+81=0$

$2x(2x-9)-9(2x-9)=0$

$(2x-9)(2x-9)=0$

$\Rightarrow 2x-9=0$

$\Rightarrow x=\frac{9}{2}=4.5$

Therefore, The speed of the river's current is 4.5 km/hr.

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3 years ago

Divide using synthetic division (x^2 +9)÷(x-3) =

ankoles [38]

Answer: x+3+ 18/x-3

Step-by-step explanation:

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2 years ago

Vincent started the year with $179 in his account at the health spa. Each time he uses the spa, $15 is taken out of the account.

wlad13 [49]

Answer:

Vincent would be able to use the spa 9 more times.

Step-by-step explanation:

$135 divided by $15 = 9

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3 years ago

What are the coordinates of the midpoint of the line segment with endpoints B(9,−8) and C(2,−5)?

Temka [501]

So midpoint of segment joining B and C is ( 11/2, - 13/2)

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3 years ago

Solve the equation using the Zero­Product Property. 6x(3x + 1) = 0

Solve the equation using the ZeroProduct Property. 6x(3x + 1) = 0