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alex41 [277]
3 years ago
10

What is the differentiation of f(x) =2x^4/5?

Mathematics
1 answer:
motikmotik3 years ago
6 0
\bf f(x)=\cfrac{2x^4}{5}\implies f(x)=\cfrac{2}{5}x^4\implies \cfrac{df}{dx}=\cfrac{2}{5}\cdot 4x^3\implies \cfrac{df}{dx}=\cfrac{8x^3}{5}

notice, the 2/5 is just a "scalar" value, so you can just get the derivative of the variable part and slap the scalar as its factor.
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A collection of 19 coins consisting of nickels and dimes is worth $1.35. How many dimes are there
pshichka [43]

Answer:

There are 8 dimes there.

Step-by-step explanation:

This question is solved used a system of equations.

I am going to say that:

x is the number of nickels.

y is the number of dimes.

19 coins

This means that x + y = 19.

A nickel is worth $0.05. A dime is worth $0.1. The total of these coins is $1.35. So

0.05x + 0.1y = 1.35

How many dimes are there?

We have to find y.

From the first equation: x = 19 - y.

Replacing in the second:

0.05(19 - y) + 0.1y = 1.35

0.95 - 0.05y + 0.1y = 1.35

0.05y = 0.4

y = 0.4/0.05

y = 8

There are 8 dimes there.

3 0
3 years ago
Suppose f(x) = x^3 + 1. Find the graph of<br> f(2x).
svp [43]

Step-by-step explanation:

I am sorry. I just typed the equation into my calculator app. Refer to the attached image above to make a deduction.

5 0
3 years ago
Read 2 more answers
How to solve inequaities?
bulgar [2K]
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:
Don't multiply or divide by a variable (unless you know it is always positive or always negative)
8 0
4 years ago
On a coordinate plane, parallelogram H I J K is shown. Point H is at (negative 2, 2), point I is at (4, 3), point J is at (4, ne
lys-0071 [83]

Answer:

the answer is the first is 6 2nd is 4 and the last is 24 idek how its college because im in 6 and this is one of my quistions

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
(1/4)^x= 256
iren [92.7K]
X= -4
Work:  1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4
7 0
3 years ago
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