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disa [49]
3 years ago
14

Data represented by quantities is called data.

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0
Four types of data (nominal, ordinal, interval, and ratio) that represent values or observations that can be sorted into a category
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One less than the product of four<br> and a number is 11.
never [62]
4x-1=11 and x would equal 3
3 0
1 year ago
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Simply the expression
Rashid [163]

Answer:

12+27a

Step-by-step explanation:

3(4+9a)=3(4)+3(9a)=12+27a

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2 years ago
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Convert 8.132132132 ... to a rational expression in the form of a over b , where b ≠ 0. (4 points)
Butoxors [25]

8 would become the whole number, since there are 3 repeating numbers you would put those over 999.

So you would get 8 and 132/999

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3 years ago
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Consider the region, R, bounded above by f(x)=x2−6x+9 and g(x)=−3x+27 and bounded below by the x-axis over the interval [3,9]. F
Salsk061 [2.6K]

Answer:

22.5

Step-by-step explanation:

The region R contains every point of the plane with coordinate x between 3 and 9, and with coordinate y positive such that y < f(x) and y < g(x).

We can note that both f and g are positive on [3,9] because g is a decreasing linear function and g(9) = 0, thus g is positive in every other point of the interval, and f(x) = (x-3)^2 is always positive excpept when x = 3, where it reaches the value 0.

The interception of the graphs takes place for a value x such that f(x) = g(x).

We compute x^2-6x+9 = -3x + 27, thus x^2-6x+9-(-3x + 27) = x^2-3x -18 = 0.

The roots of that quadratic function are

r_1, r_2 = \frac{3 ^+_- \sqrt { 9 +72}}{2} = \frac{3^+_-9}{2} , thus r1 = 6, r2 = -3. We dont care about -3 because it is outside the interval, but we know that f and g graphs intersects on x = 6. Thus, we obtain, due to Bolzano Theorem:

  • On the interval [3,6), the function f in smaller because it takes the value 0 on x=3, while g is always positive.
  • On the interval (6,9]. the function g is smaller because it takes the value 0 on x=9, while f is always positive

Hence, the upper bound is f on the interval [3,6) and g on the interval (6,9]. While the lower bound is the 0 function.

We need to calculate the following integral, using Barrow's rule

\int\limits^6_3 {x^2-6x+9} \, dx + \int\limits^9_6 {-3x+27} \, dx = (\frac{x^3}{3} - 3x^2 + 9x) |^6_3 + (\frac{-3x^2}{2} + 27x)|^9_6 = \\  (18 - 9) + (121.5-108) = 22.5

As a result, the area of the region R is 22.5

6 0
3 years ago
PLEASE ANSWER ASAPPP!! Will get brainliest
alexgriva [62]

Answer:

y=-2x+2

Explanations:

the slope is -2 and the y-intercept is (0,2)

5 0
2 years ago
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