Maitri and Aabhas do a work in 12 hours.

Mathematics

1 answer:

tamaranim1 [39]2 years ago

8 0

Answer:

See below ~

Step-by-step explanation:

Given

Maitri and Aabhas do a work in 12 hours
Aabhas and Kavya do the work in 15 hours
Kavya and Maitri do the work in 20 hours

Solving

Take Maitri, Aabhas, and Kavya to be x, y, z respectively
x + y = 12 (1)
y + z = 15 (2)
x + z = 20 (3)

Take Equation 1 and rewrite it so that it is equal to x.

x = 12 - y

Take Equation 2 and rewrite it so that it is equal to z.

z = 15 - y

Now, substitute these values in Equation 3.

x + z = 20
12 - y + 15 - y = 20
-2y + 27 = 20
2y = 7
y = 7/2 = 3.5 hours [Aabhas]

Substitute the value of y in Equation 1.

x + 3.5 = 12
x = 8.5 hours [Maitri]

Substitute the value of y in Equation 2.

3.5 + z = 15
z = 11.5 hours [Kavya]

Add the values of x, y, and z together.

x + y + z
8.5 + 3.5 + 11.5
12 + 11.5
23.5 hours [together]

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ValentinkaMS [17]

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Which graph shows the solution to the equation below? log3(x+2) = 1

sdas [7]

Refer the attached figure of the graph (Option A) that shows the solution to the given equation

Step-by-step explanation:

The given logarithmic equation is

$\log _{3}(x+2)=1$

The solution to this logarithmic equation is where the graph of

$y=\log _{3}(x+2)$

When comparing above with the given equation, we find that y = 1.

Now, find the 'x' value by using this. So, applying log base 3 rule on right side, we get as below,

$x+2=3^{1}$

x = 3 - 2 = 1

Plot the asymptote and the point (1 , 1). Sketch the log curve using those two reference facts. Hence, concluded the graph in option A as solution to the given equation.