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Neko [114]
2 years ago
14

HELP PLEASE, Part a of the question was posted earlier on.

Mathematics
1 answer:
Elanso [62]2 years ago
3 0
\bf \lim\limits_{x\to 6}~\cfrac{x^2+x+42}{x-6}\implies \lim\limits_{x\to 6}~\cfrac{(x+7)(x-6)}{(x-6)}\implies \lim\limits_{x\to 6}~x+7
\\\\\\
\lim\limits_{x\to 6}~(6)+7=13
\\\\\\
\textit{since the original equation holds for all, }x\ne 6,\textit{ then it approaches}\\
\textit{the same limit as }x+7
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A pipe that is 3.1 meters long is placed vertically in a pond. Its lowest point is 1.5 meters under the water surface. How far a
amm1812

Answer:

1.6 above water

Step-by-step explanation:

Total length of the pipe = length below the water + length above the water

We know the total length of the pipe =3.1  and the length below the water is 1.5 m

3.1 = 1.5 + length above the water

Subtract 1.5 from each side

3.1 -1.5 = 1.5 -1.5 + length above water

1.6 = length above water

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3 years ago
Pls help...<br><br>solve for x in the following...pls explain <br><br>a)7x+5=3x-1<br>b)5x+12=3x+14​
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Answer:

a) x = -1.5

b) x = 1

Step-by-step explanation:

For problem a, you can start by subtracting 3x from both sides to gather all the like terms together:

7x + 5 = 3x - 1

-3x         -3x

4x + 5 = -1

Next, to get the coefficients on one side, you subtract 5 from both sides:

4x + 5 =  -1

    -5      -5

4x = -6

Now, you divide by 4 on both sides to isolate x:

x = -6/4 = -1.5 --- > x = -1.5

For problem b, you start by subtracting 3x from both sides(kinda like problem a):

5x + 12 = 3x + 14

-3x          -3x

2x + 12 = 14

Next, you can subtract 12 from both sides, isolating the "x term".

2x + 12 = 14

       -12  -12

2x = 2

Lastly, you can divide by 2 to get x:

x = 1

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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