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Ratling [72]
2 years ago
14

8-2|4-5y|=4 | | stands for absolute value

Mathematics
1 answer:
Contact [7]2 years ago
4 0

Answer:

y = (2/5) OR y = (6/5)

Step-by-step explanation:

The first step is isolating the expression within the absolute value bars. The first thing we can do is subtract both sides by 8. If we do that, we get -2|4-5y| = -4. Now, to completely isolate the absolute value, we would have to divide by -2. This yields |4 - 5y| = 2. Finally, we can remove the absolute value bars. However, to do this, we need to first understand what an absolute value bar does to an equation. Lets say that |x| = 2. Absolute value describes the DISTANCE of some quantity from 0 (on the number line). Therefore, x (which is inside the absolute value bars) can be either positive or negative 2 (they are BOTH two units away from 0). Similarly, in this case, (4 - 5y) can either be 2 or -2 (because the absolute value of both is 2). Now we have two possible solutions to solve for:

4 - 5y = 2 OR 4 - 5y = -2

5y = 2 OR 5y = 6

y = (2/5) OR y = (6/5)

If we plug both of these answers back into the equation we can see that they both check out.

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3 years ago
Find the directional derivative of f(x,y,z)=2z2x+y3f(x,y,z)=2z2x+y3 at the point (−1,4,3)(−1,4,3) in the direction of the vector
Feliz [49]

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f has gradient

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Then the derivative of f at (-1, 4, 3) in the direction of \vec u is

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4 0
3 years ago
Answer the following question and will mark Brainliest
spin [16.1K]

a) f(4) = 3*4 - 4

          = 8

b) h(-3) = 5 - ( - 3)

             = 5 + 3 = 8

c) h(4) - f(-5) = 1 + ( -19)

                     = -18

have a nice day <3

7 0
3 years ago
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dsp73

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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