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Anna11 [10]
3 years ago
12

Graph the equation y=-3x-4 by plotting points

Mathematics
1 answer:
Irina18 [472]3 years ago
6 0

Step-by-step explanation:

y = -3x - 4

Given the linear equation, y = -3x - 4, where:  

m (slope) = -3

b  (y-intercept) = -4  

Since we already have the y-intercept, (0, -4), we can start plotting points into the graph using the slope, \frac{-3}{1} = \frac{rise}{run} (which also represents three units down, 1 unit to the right).  

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Im Triggered Pls Dont DELETE!
stepladder [879]

I'm assuming you mean f(x) = (e^x + 5x)^2, not f(x) = (e x + 5x)2, like your prompt suggests.


First, let's figure out what rule we can use. A likely noticeable one is the Power Rule, which says the following:

\dfrac{d}{dx} [u^a] = a(u)^{a-1} du


Applying this, we can solve for the derivative:

f'(x) = 2(e^x + 5x) (e^x + 5)

  • Apply the Power Rule

While you can simplify the expression to your liking, I believe that this form is not overly complex and will thus leave it as is.


Thus, our answer is:

f'(x) = \boxed{2 (e^x + 5x)(e^x + 5)}

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3 years ago
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2 years ago
A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder? A) 54 ft2 B) 169.8 ft3 C) 254.3 ft3 D
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<span>In order to find the volume of a cylinder, we must find the area of its circular face and multiply that value by its height. The area of a circle is (pi)*r^2. The diameter is twice the radius, so the cylinder has a radius of 6/2, or 3 ft. The area of the circular face of the cylinder is therefore 9(pi) or approximately 28.27 sq. ft. Multiplying that area by the height of 9 ft. results in a volume of approximately 254.3 cubic ft., which is answer C.</span>
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Your answer to this equation would be the length of the fourth shim.

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Answer:

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