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Sergio [31]
3 years ago
14

You are at a restaurant and the check comes to a total of $63. If you want to leave an 18% tip, how much total money should you

pay, to the nearest cent?
Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

$74.3 <em>is the total amount.</em>

<em> </em>

Step-by-step explanation:

The first step in this problem is to figure out how much of a tip was left. To find that out, you need to multiply the percentage by the total of the meal.

63 * .18 = 11.34

We know that 11.34 was how much of a tip that was left,

To figure out the total amount that was spent, you would add the total amount and the tip.

63 + 11.34 = 74.34

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Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

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In the basketball game, Rachel scored 6 points less than twice the number of points Trina scored. Together they scored 36 points
Vesnalui [34]

Answer:

36=2x-6

Step-by-step explanation:

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Step-by-step explanation:

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~~2x^2-2.9x-3.6\\\\=\dfrac{20}{10}x^2 - \dfrac{29}{10} x-\dfrac{36}{10}  \\\\=\dfrac 1{10} (20x^2 -29x -361)\\\\=0.1(20x^2-29x-36)\\\\=0.1(20x^2-45x+16x-36)\\\\=0.1[5x(4x-9)+4(4x-9)]\\\\=0.1(5x+4)(4x-9)\\\\\text{Where,}~ p=5, ~ q=4,~ r=4~,s=-9\\\\\text{Hence,}~ \\\\p+q+r+s \\\\ = 5+4+4 -9 \\\\=13-9 \\\\ =4

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