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3 years ago

Based on the graph how many district real number solutions does the equation x^3 -3x^2 +4 = 0

Mathematics

1 answer:

lawyer [7]3 years ago

6 0

Answer:

Two real number solutions

Step-by-step explanation:

The question is asking "based on the graph, how many times does y=0?"

Then just count how many timesthe graph is on the x-axis.

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Some advantages of consolidating your debt into a single loan are _________. Help Please !

Liono4ka [1.6K]

Well, one advantage simply is that its a loan. If its a loan, you can pay little by little until its paid off. Not sure if this helps, but I hope it does.

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3 years ago

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 2x. The side length of the metal frame is 8

Schach [20]

Answer:

183.43x2

Step-by-step explanation:

Area of the entire frame = (14x)2 = 196x2

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Area of the frame surrounding the mirror = (196 - 4pi)x2 = 183.43x2

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2 years ago

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Show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1

aalyn [17]

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

${3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}$

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

$3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\$

$3y^{2}.\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} = - \frac{-2x}{y^{5}}$

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3 years ago

Jamie went deep sea diving. If he descends at a rate of 4 feet per minute, what integer represents his depth after 8 minutes?

Olegator [25]

Answer: 32 ft.

Step-by-step explanation:

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2 years ago

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which expressions give the monthly pay of an employee with 20 hours of training? a. 20(pay) or 20(p) b. 20 x pay or 20 x p c. pa

ddd [48]

If the name of the function is pay, wtih nickname p, and the variable is the numbers of hours of training, then the expression for 20 hours of payment is pay (20) or p(20).

In this case pay or p is the dependent variable and hours is the independent variable.

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3 years ago

Based on the graph how many district real number solutions does the equation x^3 -3x^2 +4 = 0​

Based on the graph how many district real number solutions does the equation x^3 -3x^2 +4 = 0