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Rashid [163]
4 years ago
7

Which of the following expressions represents 24C12?

Mathematics
1 answer:
lana [24]4 years ago
8 0
24C12=\frac{24!}{12!12!}
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I need help with math homework
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Answer:

A. (0, 1) and (2, -2)

B. Slope (m) = -³/2

C. y + 2 = -³/2(x - 2)

D. y = -\frac{3}{2}x + 1

E. \frac{3}{2}x + y = 1

Step-by-step explanation:

A. Two points on the line from the graph are: (0, 1) and (2, -2)

B. The slope can be calculated using two points, (0, 1) and (2, -2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{2 - 0} = \frac{-3}{2} = -\frac{3}{2}

Slope (m) = -³/2

C. Equation in point-slope form is represented as y - b = m(x - a). Where,

(a, b) = any point on the graph.

m = slope.

Substitute (a, b) = (2, -2), and m = -³/2 into the point-slope equation, y - b = m(x - a).

Thus:

y - (-2) = -³/2(x - 2)

y + 2 = -³/2(x - 2)

D. Equation in slope-intercept form, can be written as y = mx + b.

Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.

y + 2 = -³/2(x - 2)

2(y + 2) = -3(x - 2)

2y + 4 = -3x + 6

2y = -3x + 6 - 4

2y = -3x + 2

y = -3x/2 + 2/2

y = -\frac{3}{2}x + 1

E. Convert the equation in (D) to standard form:

y = -\frac{3}{2}x + 1

\frac{3}{2}x + y = 1

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What is the smallest positive integer, other than $1$, that is both a perfect cube and a perfect fourth power?
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<span>There are two approaches to translate this inquiry, to be specific:
    You need to know a number which can go about as the ideal square root and also the ideal block root.
    You need to know a number which is an ideal square and in addition an ideal 3D shape of a whole number.
    In the primary case, the arrangement is straightforward. Any non-negative whole number is an ideal square root and in addition a flawless solid shape foundation of a bigger number.
    A non-negative whole number, say 0, is the ideal square foundation of 0 and additionally an immaculate shape base of 0. This remains constant for all non-negative numbers starting from 0 i.e. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
    In the second case as well, the arrangement is straightforward however it involves a more legitimate approach than the primary choice.
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