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2 years ago

F(x)=4x-3 find the inverse

Mathematics

1 answer:

hjlf2 years ago

4 0

f^-1(x)=(x-3)/4 is the inverse function f(x)=y=>y=4x+3 because f(x) is another way of writing y

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PLEASE HELP! I have made a pic of it. Hope you have a nice day

masha68 [24]

A is the answer 7th graders are not likely

8 0

2 years ago

Three-sevenths of a number is 21. Find the number.

miskamm [114]

Answer:

Step-by-step explanation:

The number is 49, First do 21 / 3 to find what 1/7 of the number is. We get 7, so we know 1/7 is 7 so if we do 7 x 7 we will have 7/7 or one whole and 7x7 is 49. Hope this helps

6 0

3 years ago

Read 2 more answers

A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and

goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

$\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}$

Solve for S(t):

$\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}$

$e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}$

The left side is the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}$

Integrate both sides:

$e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt$

$e^{t/800}S(t)=64e^{t/800}+C$

$S(t)=64+Ce^{-t/800}$

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

$0=64+C\impleis C=-64$

and so (b) the amount of sugar in the tank at time t is

$S(t)=64\left(1-e^{-t/800}\right)$

As $t\to\infty$ , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0

3 years ago

Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

nadezda [96]

Given:

$(3x+7)^2$ is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when $(3x+7)^2$ is subtracted from 3.

So, the resulted polynomial can be written as:

$P(x)=3-(3x+7)^2$

On simplification, we get

$P(x)=3-((3x)^2+2(3x)(7)+(7)^2)$ $[\because (a+b)^2=a^2+2ab+b^2]$

$P(x)=3-(9x^2+42x+49)$

$P(x)=3-9x^2-42x-49$

$P(x)=-9x^2-42x-46$

Therefore, the resulted polynomial in standard form is $-9x^2-42x-46$ .

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2 years ago

What is the value of d to the nearest tenth

Gelneren [198K]

The answer is 72.1.you should dot infront sizes and then equals them

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3 years ago