2 years ago

A curve has equation y = x²(x - 2) Work out the gradient of the curve at the point (3,9).

Mathematics

1 answer:

slava [35]2 years ago

4 0

Answer:

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

dy/dx = 3 x^2 - 4 x

At x = 3 dy/dx = 3 * 9 - 4 * 3 = 15 The slope (gradient) of the curve

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Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{

Nady [450]

Answer:

$\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}$

Step-by-step explanation:

Given

$\{(5, -9), (6, -6), (-3, 8), (9, -6)\}$

$\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}$

$\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}$

$\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}$

Required

Which is not a function

An ordered pair is represented as:

$\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}$

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.

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2 years ago

Which expression is equivalent to (64y100) 1/2 8y10 8y50 32y10 32y50

TiliK225 [7]

Step-by-step explanation:

(64y100)1/2

1/2×64y 1/2×100

32y50

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3 years ago

Tell me if i got number 2 wrong or right also answer the question

hichkok12 [17]

Answer:

I hope I know but I need help my self

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2 years ago

If this number is larger than 6, then its square is larger than 36.The number is not larger than 6.therefore Its square is not l

Anit [1.1K]

Answer:

False

Step-by-step explanation:

If this number is larger than 6, then its square is larger than 36.

If x > 6, then x² > 36

The number is not larger than 6.therefore Its square is not larger than 36.

x ≤ 6; therefore, x² ≤ 36

-7 is < 6; however -7² > 36 as -7² = 49

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3 years ago

If k = 7 then find the value of 2k²

Leya [2.2K]

Answer:

Step-by-step explanation:

k = 7

2k^2

do the exponent

7 x 7 = 49

49 x 2 = 98

6 0

2 years ago

Read 2 more answers