Write 97,429 in expanded form:

Write an explicit function for f(x) Can anyone help me with this please I’ll mark as brainliest

stiv31 [10]

Answer:

Explicit Function:

Any function which when expressed in terms of the independent variable is called an explicit function. For example, if we write y=f(x)

, then the dependent variable y is given in terms of the independent variable x by the function f(x). Thus y=f(x) is an explicit function. But, g(x,y)=c

is not explicit as it is a combination of both x and y. Such a function is called implicit.

Step-by-step explanation:

What is meant by implicit function?

An implicit function is a function that is defined by an implicit equation. That means the equation contains several variables, including dependent and independent. In other words, it is an equation that relates one of the variables, recognized as the value of the function, with the others regarded as the arguments.

What is an explicit function?

An explicit function is a function that is represented in terms of an independent variable. For example, y = 4x – 7 is explicit where y is a dependent variable and is dependent on the independent variable x.

How do you know if a function is implicit?

If a function is written in the form f(x, y) = 0, we can say that the given function is implicit.

What is implicit function differentiation?

We differentiate or find the derivative for both sides of the equation in implicit function differentiation.

What is explicit and implicit?

In general, “explicit” means clearly stated, whereas “implicit” refers to proposed and not stated directly.

5 0

3 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

C)

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the instanteous rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

I don’t understand this

Oxana [17]

You have to multiply whats outside the parenthesis with everything that is inside, so

$x^{-3}y^0.(x^2-3x^5y^4)$

$x^{-3}y^0.x^2-x^{-3}y^0.3x^5y^4$

Multiplication of same bases we sum the exponents

$x^{-3+2}y^0-3x^{-3+5}y^{0+4}$

$x^{-1}.1-3x^2y^4$

$x^{-1}-3x^2y^4$

Alternative B.

7 0

3 years ago

Which of the following could be the equation of the graph shown below? Check all that apply.

Mashutka [201]

Answer:

y = -2x + 5

Х-y= 9

2x + y = 4

y = 5

lmk if incorrect, please give brainliest

8 0

3 years ago

Help please!! Picture below.

saul85 [17]

X+ y ≥ 12
2.75x +3.50y < 35

Hope this helps

7 0

3 years ago