A jar contains n nickels and d dimes. There is a total of 206 coins in the jar. The value of the coins is $13.95. How many nickels and how many dimes are in the jar? ​

73 dimes and 133 nickels

Step-by-step explanation:

$13.95 = 1395 cents

5n + 10d = 1395     (since each nickel is 5 cents and each dime is 10 cents)

5n = 1395 - 10d      (subtract 10d from both sides to solve for n)

n = 279 - 2d

n + d = 206

279 - 2d + d = 206   (substitute n with the previous expression)

279 - d = 206         (add variable d and -2d)

-d = -73        (solve for d and divide both sides by negative 1)

d = 73          

n + 73 = 206 (solve for n and subtract both sides by 73)  

n = 133

u bout ugly as   a mf

step-by-step explanation: lol

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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