All categories

3 years ago

The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is

Mathematics

1 answer:

garri49 [273]3 years ago

5 0

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

You might be interested in

A club charges $150 for the first month of membership, and $5 less each month after that. What is the total membership for a yea

madreJ [45]

Answer:

$1745

$3485

Step-by-step explanation:

First month = $150

Consequently, 5 dollars less. Therefore in the remaining months;

(150-5) x 11months

= 145 x 11

= $1595

Therefore to get the total membership in a year we add up 150 and 1595

Total membership in a year = $1745

In year 2, he will be paying 145 dollars in the entire year

(12 x 145) = 1740

So the total membership in 2 years = $1745+$1740

= $3485

8 0

3 years ago

(6th grade math)

Montano1993 [528]

Answer:

He drank 15.93 ounces.

4 0

3 years ago

Read 2 more answers

what is 5 4/5 simplified I need helppppppppppppppp

nydimaria [60]

u can not simplefly it doyyyyyyyyyy

6 0

3 years ago

Read 2 more answers

The length of side X is 36.25 cm to the nearest hundredth of a centimeter what is the length of y

goldenfox [79]

Answer:

<h3>The length of y is 62.82 cm.</h3>

Step-by-step explanation:

We are given a right triangle with an angle 30°.

Opposite side of angle 30° is x and adjacent side is y.

Also, given length of side x=36.25 cm.

In order to find the value of y, we need to apply tangent trigonometrical ratio.

We know,

$tan \theta =\frac{Opposite \ Side}{Adjacent \ Side}$

Therefore,

$tan \theta =\frac{x}{y}$

Plugging values of $\theta =30^o$ and x=36.25, we get

$tan 30^o=\frac{36.25}{y}$

Plugging value of $tan 30^o=0.577$ in above equation, we get

$0.577=\frac{36.25}{y}$

On multiplying both sides by y, we get

$0.577\times y=\frac{36.25}{y}\times y$

0.577y=36.25

Dividing both sides by 0.577, we get

$\frac{0.577y}{0.577} =\frac{36.25}{0.577}$

y=62.82

<h3>Therefore, the length of y is 62.82 cm.</h3>

3 0

3 years ago

Which of the following equations represent a graph with the most rapid rate of change?

lesantik [10]

C is the answer I believe

8 0

3 years ago