A student has some $1 and 5$ bills. He has a total of 15 bills that are worth $47. How many of each bill does he have?

Mathematics

2 answers:

Trava [24]3 years ago

7 0

Answer:

Seven one dollar bills and eight five dollar bills.

Step-by-step explanation:

8 + 7 = 15 bills

8 x 5 = $40

7 x 1 = $7

40 + 7 = $47

47 dollars and 15 bills.

GalinKa [24]3 years ago

7 0

The answer I think is (5x8)+(1x7)=$47

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Greetings. As a beginner, I'm struggling a bit to learn calculus. May I know what is the derivative of x to the power 4 step by

elena-14-01-66 [18.8K]

If you're just starting calculus, perhaps you're asking about using the definition of the derivative to differentiate $x^4$ .

We have

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x+h)^4 - x^4}h$

Expand the numerator using the binomial theorem, then simplify and compute the limit.

$\dfrac{d}{dx} x^4 = \displaystyle \lim_{h\to0} \frac{(x^4+4hx^3 + 6h^2x^2 + 4h^3x + h^4) - x^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} \frac{4hx^3 + 6h^2x^2 + 4h^3x + h^4}h \\\\ ~~~~~~~~ = \lim_{h\to0} (4x^3 + 6hx^2 + 4h^2x + h^3) = \boxed{4x^3}$

In general, the derivative of a power function $f(x) = x^n$ is $\frac{df}{dx} = nx^{n-1}$ . (This is the aptly-named "power rule" for differentiation.)