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zhenek [66]
3 years ago
6

Show two different ways to solve (3x + 6) = 4x + 3. {= Show your work.​

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
8 0

Answer: Work below.

3x+6 = 4x+3

6-3 = 4x - 3x

3 = x

or

3x+6 = 4x+3

3x - 4x = 3 - 6

-x = -3

x = 3

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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.
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3 years ago
Can someone help me
jeka57 [31]
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5 0
3 years ago
Which set of ordered pairs represents a function? {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)} {(3, –1), (7, 1), (–6, –1), (9, 1
ra1l [238]
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7 0
4 years ago
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All we have to do here is divide $13.50 by $0.90 to figure out how many guppies she can buy

$13.50 ÷ $0.90 = 15

Therefore, Karla can buy <u>15 guppies</u> with $13.50

Hope this helps you

Brainliest would be appreciated

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3 0
3 years ago
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A rectangular swimming pool is 30 cm wide and 40 cm in length. Find the total area and perimeter of the swimming pool.​
Shkiper50 [21]

Answer:

Area: 1,200 square centimeters. Perimeter: 140 centimeters.

Step-by-step explanation:

Since you have to multiply the length and width in order to find the area, multiply 30 and 40 together and you can find 1,200. Next, to find the perimeter you have to add all the lengths of the rectangular swimming pool, which will result in 140 centimeters.

3 0
2 years ago
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