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2 years ago

If f(x) = 2x^3– 5x+ 2, then what is the remainder when f(x) is divided by X – 4?

Mathematics

1 answer:

Mashutka [201]2 years ago

5 0

The remainder is 110 when $f(x) = 2x^3-5x+ 2$ is divided by x-4

Step-by-step explanation:

We need to find the remainder when $f(x) = 2x^3-5x+ 2$ is divided by x-4

Solving:

The solution is attached in the figure below.

The quotient is: $2x^2+8x+27$

The remainder is: 110

Keywords: quotient, division

Learn more about Division and quotient at:

#learnwithBrainly

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2 years ago

1) The width of a rectangle is 6 meters less than its length. The area is 315 square meters. Find the length of the

Gre4nikov [31]

Answer:21

Step-by-step explanation:

x=length

x(x-6)=315

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x^2-6x-315=0

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3 years ago

A 100 gallon tank initially contains 100 gallons of sugar water at a concentration of 0.25 pounds of sugar per gallon suppose th

Vsevolod [243]

At the start, the tank contains

(0.25 lb/gal) * (100 gal) = 25 lb

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Sugar is added to the tank at a rate of P lb/min, and removed at a rate of

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and so the amount of sugar in the tank changes at a net rate according to the separable differential equation,

$\dfrac{\mathrm dS}{\mathrm dt}=P-\dfrac S{100}$

Separate variables, integrate, and solve for S.

$\dfrac{\mathrm dS}{P-\frac S{100}}=\mathrm dt$

$\displaystyle\int\dfrac{\mathrm dS}{P-\frac S{100}}=\int\mathrm dt$

$-100\ln\left|P-\dfrac S{100}\right|=t+C$

$\ln\left|P-\dfrac S{100}\right|=-100t-100C=C-100t$

$P-\dfrac S{100}=e^{C-100t}=e^Ce^{-100t}=Ce^{-100t}$

$\dfrac S{100}=P-Ce^{-100t}$

$S(t)=100P-100Ce^{-100t}=100P-Ce^{-100t}$

Use the initial value to solve for C :

$S(0)=25\implies 25=100P-C\implies C=100P-25$

$\implies S(t)=100P-(100P-25)e^{-100t}$

The solution is being drained at a constant rate of 1 gal/min; there will be 5 gal of solution remaining after time

$1000\,\mathrm{gal}+\left(-1\dfrac{\rm gal}{\rm min}\right)t=5\,\mathrm{gal}\implies t=995\,\mathrm{min}$

has passed. At this time, we want the tank to contain

(0.5 lb/gal) * (5 gal) = 2.5 lb

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2 years ago

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solong [7]

Answer:

Angle Angle Angle (AAA) property

Step-by-step explanation:

A right angled triangle is a triangle that has one of its angles to equal $90^{0}$ . It could be in the form of an isosceles triangle or an acute angled triangle.

The given question compares the congruence properties of two triangles, KOM and LNM.

Thus,

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<LMN = <KMO (common angles to both triangles)

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ΔKOM = ΔLNM (congruence property)

Therefore, by angle angle angle (AAA) congruence property, the two triangles are similar.

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