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Vesnalui [34]
3 years ago
15

If x=-2 and y=6 is a solution of equation 3ax+2by=6, then find the value of b

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0

\text{Substitute the values of x and y to the equation}\\\\x=-2,\ y=6,\ 3ax+2by=6\\\\3a(-2)+2b(6)=6\\\\-6a+12b=6\qquad|\text{add 6a to both sides}\\\\12b=6a+6\qquad|\text{divide both sides by 12}\\\\b=\dfrac{6a}{12}+\dfrac{6}{12}\\\\\boxed{b=\dfrac{1}{2}a+\dfrac{1}{2}}

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lara [203]

Answer:

The GCF of 460 and 756 is 4

4 0
2 years ago
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Polynomial and rational functions can be used to model a wide variety of phenomena of science, technology, and everyday life. Ch
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Answer:

  L = s^2/(30.25Cd)

Step-by-step explanation:

In accident investigation, the speed of a vehicle can be estimated using a polynomial function that relates speed (s) to the length of skid marks (L). The drag coefficient Cd will depend on the condition of the road surface and tires, but might be expected to be between 0.7 and 0.8.

If the skid marks end in a collision, the length of the marks that might have been made can be estimated using this formula, then that length added to the actual length of marks to estimate the original speed. The speed at the point of collision can be estimated by the damage caused, and/or the movement created.

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8 0
3 years ago
An electrician earns 100 dollars for a project installing light fixtures. She must pay for the light fixtures herself and they c
Gnoma [55]

Answer:

y = 100 - 2.5 x is the equation that represents her total profit from

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Step-by-step explanation:

The given is:

1. An electrician earns 100 dollars for a project installing light fixtures

2. She must pay for the light fixtures herself and they cost 2 dollars

   and 50 cents each

3. x represent the number of light fixtures and y represent her

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Her profit is the amount of money she has left over after paying for

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∵ The cost of each light fixtures is 2 dollars and 50 cents

- Let us change the cents to dollar

∵ $1 = 100 cents

∴ 50 cents =  dollar

∴ 2 dollars and 50 cents = $2.5

∵ Her profit = The money she earns - The money she pays

∴ The cost of each light fixtures = $2.5

∵ She installs x light fixtures

∴ She pays 2.5 x dollar

∵ She earns $ 100 for installing x light fixtures

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y = 100 - 2.5 x is the equation that represents her total profit from

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Step-by-step explanation:

4 0
3 years ago
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Eduardwww [97]

Answer:

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( -  \frac{1}{2}  \: , \:  \frac{13}{2})  \\

Step-by-step explanation:

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M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )\\

where

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From the question the points are

Q(2,4) and R(-3,9)

The midpoint is

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