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Rom4ik [11]
4 years ago
13

In Exercise, find the derivative of the function. y = ex - 4

Mathematics
1 answer:
Marianna [84]4 years ago
8 0

Answer: The required derivative would be \dfrac{dy}{dx}=e^x

Step-by-step explanation:

Since we have given that

y=e^x-4

We need to find the derivative of the above function:

As we know that

\dfrac{d}{dx}e^x=e^x

and

derivative of constant term = 0

So, the derivative  w.r.t. x would be

\dfrac{dy}{dx}=e^x-0=e^x

Hence, the required derivative would be \dfrac{dy}{dx}=e^x

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A rectangular swimming pool can hold 1,408 cubic feet of water.The pool is 22 feet long and has a depth of 4 feet. What is the w
Mama L [17]
The width would be 16


4x22=88 

1408-88= 1320

22x16x4= 1408
4 0
3 years ago
Match the sequence (term) with the correct type of sequence (definition).
Angelina_Jolie [31]
2, 4, 6, 8, ... → Arithmetic, common difference is 2

 <span>28, 24, 20, 16, ... → </span><span>Arithmetic, common difference is -4

</span>2, 4, 8, 16, ... → <span>Geometric, common ratio is 2

</span>48, 24, 12, 6, ... → <span>Geometric, common ratio is 0.5</span>
4 0
4 years ago
List the potential solutions to 2 In x= 4In 2 from least to greatest?
irina1246 [14]
Answer Is 0.5 Thank Me Later
3 0
3 years ago
If no denominator equals zero , which expression is equivalent to
Scorpion4ik [409]

Answer: Choice D

\frac{-19}{\text{x}-5}

=================================================

Work Shown:

\frac{\text{x}^2+10\text{x}+25}{\text{x}+5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{(\text{x}+5)(\text{x}+5)}{\text{x}+5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{\text{x}+5}{1} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{(\text{x}+5)(\text{x}-5)}{1(\text{x}-5)} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\

\frac{\text{x}^2-25}{\text{x}-5} - \frac{\text{x}^2-6}{\text{x}-5}\\\\\\\frac{\text{x}^2-25-(\text{x}^2-6)}{\text{x}-5}\\\\\\\frac{\text{x}^2-25-\text{x}^2+6}{\text{x}-5}\\\\\\\frac{-19}{\text{x}-5}\\\\\\

This matches with <u>choice D as the final answer.</u>

Keep in mind that we can only subtract fractions when the denominator is the same. The rule is \frac{a}{c}-\frac{b}{c} = \frac{a-b}{c}

7 0
2 years ago
A phone company has two long distance
Bogdan [553]

Answer:

After 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.

Step-by-step explanation:

With the information provided, you have to find the amount of minutes of long distance calls where it will be cheaper for the customer to purchase the first plan by stating that the price of the second plan which is calculated by adding up the fixed fee plus the result of multiplying the price per minute for the number of minutes is higher than the price of the first plan, which could be express as:

10+0.05x>25, where:

x is the number of minutes

Now, you can solve for x:

0.05x>25-10

0.05x>15

x>15/0.05

x>300

According to this, the answer is that after 300 minutes of long distance calls it will be cheaper  for a customer to purchase the first plan.

5 0
3 years ago
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