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Montano1993 [528]
3 years ago
8

Let f(x)=2.912345x^2+3.131579x-0.099999

Mathematics
1 answer:
Rudiy273 years ago
5 0
A.) Integers are positive and negative counting numbers. So, in order to find the integer coefficients, round off the coefficients in the equation to the nearest whole number. The function for g(x) is:

g(x) = 3x²+3x

B.) Substitute x=4 to the two functions.

f(x) = 2.912345x²<span>+3.131579x-0.099999
</span>f(4) = 2.912345(4)²+3.131579(4)-0.099999
f(4) = 59.023837

g(x) = 3x²+3x
g(4) = 3(4)²+3(4)
g(4) = 60

C.) The percentage error is equal to:

Percentage error = |g(4) - f(4)|/f(4)  * 100
Percentage error = |60 - 59.023837|/59.023837  * 100
Percentage error = 1.65%

D.) If x is a large number, for example x=10 or x=20, then g(x) would be an overestimate. This is because the value of x is raised to the power of 2. So, as the x increases, the corresponding function would increase exponentially. Even at x=4, g(x) is already an overestimate. What more for larger values of x? That means that the gap from the true answer f(x) would increase.
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Answer:

X = 51

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Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

  • x = 3y +15
  • y = y

New equation is:

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Combine like variables:

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Solve:

  • 4y + 15 - 15 = 63 - 15
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Divide 4 from each side:

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To find x fill in the variables from the 'x =' equation:

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7.) Mya has ballet lessons every sixth day and swimming lessons every fourth day. Today she has both lessons. In how many days w
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Answer:

Step-by-step explanation:

#8

step #1: <em><u>add $24.94 with $3.82</u></em>

            24.94 + 3.82 = 28.76

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An accident at an oil drilling platform is causing a circular oil slick. The slick is 0.07 foot thick, and when the radius of th
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Answer:43.54 ft^3/min

Step-by-step explanation:

Given

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Let V be the volume of oil slick

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rate of oil flowing is

\frac{\mathrm{d} V}{\mathrm{d} t}=0.07\times 2\pi \cdot r\frac{\mathrm{d} r}{\mathrm{d} t}

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