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Vedmedyk [2.9K]
3 years ago
11

How do you differentiate y = 3x3 - 2x-4

Mathematics
1 answer:
riadik2000 [5.3K]3 years ago
7 0

Answer:

y' = 9x^2 + 8x^-5

Step-by-step explanation:

General Principle

y' = ax^b

y' = a*b * x^(b-1)

Solution

3x^3 = 3*3x^(3-1)

3x^3 = 9x^2

-2x^-4  = -2*-4 x ^(-4 - 1)

-2x^-4 = 8 x ^-5

Answer

y' = 9x^2 + 8x^-5

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Corey flying a kite with 105 meters of string.His string makes an angle of 42 degrees with the level ground. How high is the kit
mafiozo [28]

<u>Given</u>:

Given that Corey is flying a kite with 105 meters of string.

The string makes an angle of 42° with the ground level.

We need to determine the height of the kite.

<u>Height of the kite: </u>

The height of the kite can be determined using the trigonometric ratio.

Thus, we have;

 sin \ \theta=\frac{opp}{hyp}

From the given data, the values are  \theta=42^{\circ}, opp = h (height of the kite) and hyp = 105 meters.

Substituting the values, we get;

sin \ 42=\frac{h}{105}

Multiplying both sides of the equation by 105, we get;

sin \ 42 \times 105=h

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Rounding off to the nearest meter, we get;

h=70

Thus, the height of the kite is 70 meters.

8 0
3 years ago
Joe buys groceries for his grandfather the groceries cost $42 plus 5% tax joe wants to know the total cost of the groceries incl
vekshin1
<h3>Answer: $44.10</h3>

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

Work Shown:

5% = 5/100 = 0.05

5% of 42 = 0.05*42 = 2.10

tax = $2.10

total cost including tax = $42 + $2.10 = $44.10

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An alternative is to multiply 42 by 1.05 to get

1.05*42 = 44.10

We get the same answer. The 1.05 refers to 1 + 0.05 where the "1" is 100% and the 0.05 is 5%, so the two combine to 105%, meaning the total cost is 105% of the cost before tax is considered.

7 0
3 years ago
a car deceased in value by 25% in the first year. purchased for $28,000, what is the car worth today.
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Try this:  Principal times (1+interest rate as a decimal fraction)^(number of yrs)

In this case, Principal = $28,000; interest rate = -0.25; # of years = 1

So Decrease in value = $28,000 (0.75)^1 = $21,000.
4 0
3 years ago
Someone plz help me. There are 2 answer choices
givi [52]

ik the first answer choice is false

3 0
2 years ago
Read 2 more answers
HELPPPP What is the range of g
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The range is how long the graph extends vertically. So, the lowest value is -9 (since the graph extends down until -9) and the highest value is 9 (since the graph extends up until 9). The lowest value goes in the first box and the highest value goes in the second box. The range is:

-9 ≤ <em>g</em>(<em>t </em>) ≤9


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