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Ahat [919]
3 years ago
13

Which of the following expressions are equivalent to x7/4.

Mathematics
1 answer:
Nataly [62]3 years ago
8 0
I’m pretty sure it’s the second one
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The curve with equation y=e^2x/4+3e^x has one stationary point.find the exact value of the coordinates of this point
Softa [21]
y=\dfrac{e^{2x}}{4+3e^x}
\implies y'=\dfrac{2e^{2x}(4+3e^x)-3e^xe^{2x}}{(4+3e^x)^2}
\implies y'=\dfrac{8e^{2x}+3e^{3x}}{(4+3e^x)^2}

Stationary points occur where the derivative is zero. The denominator is positive for all x, so we only need to worry about the numerator.

8e^{2x}+3e^{3x}=e^{2x}(8+3e^x)=0

e^{2x}>0 for all x, so we can divide through:

8+3e^x=0\implies e^x=-\dfrac83

But e^x>0 for all x\in\mathbb R, so this function has no stationary points...

I suspect there may be a typo in the question.
6 0
3 years ago
Solve for x: 2+3 (x+2x) = -2x(2-4) +1
Ronch [10]

Answer:

x = -1/5

Step-by-step explanation:

2+3 (x+2x) = -2x(2-4) +1

Combine like terms

2+3(3x) = -2x (-2) +1

Distribute

2+9x = 4x +1

Subtract 4x from each side

2+9x-4x = 4x+1-4x

2+5x = 1

Subtract 2 from each sdie

5x = 1-2

5x = -1

Divide by 5

5x/5 = -1/5

x = -1/5

7 0
3 years ago
Sally used 30 cubes to build a rectangular prism that was 5 cubes long. 3 cubes wide, and 2 cubes high. She decided to take apar
cestrela7 [59]

length: 10

width: 3

height: 1

10 x 3 x 1=30

5 0
3 years ago
Read 2 more answers
While Hadley was looking through her math textbook she came across the words "inverse operations", but couldn't remember what th
egoroff_w [7]

Answer:

Inverse operations are opposite operations that undo each other. Addition and subtraction are inverse operations. Multiplication and division are inverse operations.




4 0
3 years ago
Solve this please, and quick
rosijanka [135]
Error: They subtracted 9x from both sides when they should have subtracted 12. You can’t subtract unlike terms
Correct: x=-5/16
Subtract 12 from both sides to get -5 on the left and add 7x and 9x to get 16x. Divide both sides by 16 to isolate x.
8 0
3 years ago
Read 2 more answers
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