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3 years ago

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Mathematics

1 answer:

harkovskaia [24]3 years ago

3 0

Answer:

perfect square (4x - 3)^2

Step-by-step explanation:

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

Naddik [55]

ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

$(x - 1) ^{2} = 0$

We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

C is the correct answer.

6 0

3 years ago

Read 2 more answers

For what values (cases) of the variables the expression does not exist: <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4y%2B

stealth61 [152]

Answer:

y = - $\frac{1}{2}$

Step-by-step explanation:

Given

$\frac{3}{4y+2}$

The denominator of the expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that y cannot be, that is

4y + 2 = 0 ( subtract 2 from both sides )

4y = - 2 ( divide both sides by 4 )

y = $\frac{-2}{4}$ = - $\frac{1}{2}$ ← excluded value

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3 years ago

Find the value of x..

shepuryov [24]

Answer:

The answer is 116

Step-by-step explanation:

Because this shape is a quadrilateral, so the sum of the angles of a quadrilateral is a total of 360 degrees. So i added 90 + 90 + 64 = 244. And 360 - 244 = 116.

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2 years ago

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Complete the table:

Oksi-84 [34.3K]

Answer:

Fraction Percentage Decimal

¹/₅ 20% 0.2

¹/₄ 25% 0.25

¹/₂ 50% 0.5

²/₃ 66.6% 0.6

Fraction;

25/100 = 1/4

66.6/100 = 2/3

Percentage

1/5 * 100 = 20%

1/2 * 100 = 50%

Decimal

1/5 = 0.2

25/100 = 0.25

1/2 = 0.5

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2 years ago

For each value of u, determine whether it is a solution to 6u-1< −19. u Is it a solution? Yes or No 5 −4 −3 8

Agata [3.3K]

Answer:

No it is not a solution to 6u-1<-19

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2 years ago