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Marta_Voda [28]
3 years ago
14

What is the solution to this equation? 2x + 3 = x - 4

Mathematics
1 answer:
AfilCa [17]3 years ago
6 0

Answer:

Step-by-step explanation:

First, isolate the variables onto one side of the equation.

2x + 3 = x - 4

(subtract x)

x + 3 = -4

Then, remove any remaining numbers.

(subtract 3)

x = -7

I hope this helps!

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9.53 rounded the the nearest tenth is 9.5 because 0.53 is closer to 0.5 than it is to 0.6.

19.2 - 9.5 = 9.7

Your answer is 9.7
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Please help with the questions in the image
iren2701 [21]

Step-by-step explanation:

This seems to be calculus 1.

<u>Question a</u>

We have -2x^3 + 5x^2 + 9

m = slope = derivative

Find the derivative / slope of -2x^3 + 5x^2 + 9

We do this by differentiating the polynomials. There are a few methods to do this but I am going to use the power rule, which we multiply the constant by the exponent on the variable and subtract one from the exponent.

\frac{d}{dx}(-2x^3 + 5x^2 + 9)

-6x^2 + 10x

m = -6x^2 + 10x when x = a

<em>Now that we have this information, we can answer question b</em>

<u>Question b</u>

<u>The tangent line for Point (1, 12)</u>

First find the slope by using our derivative.

m = -6x^2 + 10x

m = -6(1)^2 + 10(1)

m = -6 + 10x

m = 4

Now that we have our slope, use point slope form to find our tangent line

y - 12 = 4(x - 1)

y(x) = 4x + 8


<u>Now lets do the same for the Point (2, 13)</u>

Find the slope at the point.

m = -6x^2 + 10x

m = -6(2)^2 + 10(2)

m = -24 + 10

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Now find the tangent line using point slope form of a line.

y(x) - 13 = -4(x - 2)

y(x) = -4x + 21


Now graph the lines, which I have done and you can see by viewing the image I have attached.


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