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ivann1987 [24]
4 years ago
6

Given the linear equation 2x + y = 6, perform the necessary operations to put the equation into the proper general form. Explain

in complete sentences how you knew that the equation was in the proper general form. Complete your work in the space provided or upload a file that can display math symbols if your work requires it. Include the entire process for establishing the general form of the equation and the general form.
Mathematics
1 answer:
likoan [24]4 years ago
3 0

Step-by-step explanation:

The general equation is y = mx + c...

The given equation is 2x + y = 6

Firstly, move everything on the left except the y to the right.i.e.

y = 6 - 2x

Secondly, rearrange the values on the right to look just like the general equation.

y = -2x + 6

The equation is now in proper general form because it matches the format laid down.

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The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
4 years ago
Perform all the steps to evaluate this expression.
ki77a [65]

Answer:

8

Step-by-step explanation:

4 0
4 years ago
Translate the<br> following phase<br> into an inequality<br> -3 times r is at least 57
artcher [175]

Answer:

<h3> -3 * r -3 * r \geq 57</h3>

Step-by-step explanation:

at least means it can be 57 or higher

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3 years ago
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ki77a [65]

Answer:

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Step-by-step explanation:

A triangle is 180 degrees and there is already 40 and 80 degrees.

So... 180-80-40=60 degrees.

Hope this helps :D

5 0
3 years ago
Read 2 more answers
What is the value of x in the equation x -3/4 = 5 1/6
Mandarinka [93]

Step-by-step explanation:

x-3/4=5 1/6

(4x-3)/4=31/6

(4x-3)/2=31/3

12x-9=62

12x=71

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6 0
3 years ago
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