With regard to mathematics, what is an accepted statement of fact that is used to prove other statements

1 answer:

5 0

In mathematics, a proof is a deductive agruement for a mathematical statement.In the argument,other prevoiusly establised statements, such as theroms, an be used. In principle, a proof can be traced back to self-evident or assumed statements, known as axioms, along with accepted rules of inference.

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A car with a cost price of $5200 is sold at a profit of 15%. Calculate the selling price

andriy [413]

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price. This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

$Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)$

$Sold\ Price = \$5200*(1+0.15)$

$Sold\ Price = \$5200*(1.15)$

$Sold\ Price = \$5980$

Therefore, our final answer is that the selling price was $5980

Hope this helps!

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2 years ago

Coefficient of y^15x^2 in expansion of (y^3+x)^7

Hitman42 [59]

The coefficient of y∧15×∧2 in expansion of (y∧3+x)∧7 is (15×2)+(3×7)= 51

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3 years ago

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8TH GRADE MATH HELP PLEASE

s2008m [1.1K]

Answer:

55 is the answer hope it helps...

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2 years ago

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Solve the initial value problem where y′′+4y′−21 y=0, y(1)=1, y′(1)=0 . Use t as the independent variable.

igor_vitrenko [27]

Answer:

$y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

$m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7$