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Natali5045456 [20]

3 years ago

14

Find the absolute maximum and absolute minimum values of tghe function over the indicated interval, and indicate the x-values at

which they occur. f(x)=x^3-x^2-x+6; [-1,2]

1 answer:

Marina86 [1]3 years ago

4 0

A graph shows ...

... absolute minimum: 5, at x=-1 and x=1

... absolute maximum: 8, at x=2

You might be interested in

Simplify:<br> (4p3 + 6p2 – 7) – (8p? – 7 – 3p)

Kipish [7]

Answer:

4p3 + 6p2 - 8p - 7

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "p2" was replaced by "p^2". 1 more similar replacement(s).

STEP

1

:

Equation at the end of step 1

(((4 • (p3)) + (2•3p2)) - 7) - 8p

STEP

2

:

Equation at the end of step

2

:

((22p3 + (2•3p2)) - 7) - 8p

STEP

3

:

Checking for a perfect cube

3.1 4p3+6p2-8p-7 is not a perfect cube

Trying to factor by pulling out :

3.2 Factoring: 4p3+6p2-8p-7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -8p-7

Group 2: 4p3+6p2

Pull out from each group separately :

Group 1: (8p+7) • (-1)

Group 2: (2p+3) • (2p2)

3.3 Find roots (zeroes) of : F(p) = 4p3+6p2-8p-7

Polynomial Roots Calculator is a set of methods aimed at finding values of p for which F(p)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers p which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is -7.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1 ,7

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 3.00

-1 2 -0.50 -2.00

-1 4 -0.25 -4.69

-7 1 -7.00 -1029.00

-7 2 -3.50 -77.00

-7 4 -1.75 3.94

1 1 1.00 -5.00

1 2 0.50 -9.00

1 4 0.25 -8.56

7 1 7.00 1603.00

7 2 3.50 210.00

7 4 1.75 18.81

Final result :

4p3 + 6p2 - 8p - 7

5 0

3 years ago

Problem page isabel runs 7 miles in 50 minutes. at the same rate, how many miles would she run in 75 minutes?

sammy [17]

<span>if isabel runs 7 miles in 50 minutes, then you know she runs 7/50 miles in one minute, right? So multiply that by the number of minutes she did run, and you can find the distance:

</span><span> 7
------ x 75 =
50

525
------
50

</span><span> If you plug that fraction into your calculator, you get 10.5, so 10 and a half miles.</span>

8 0

3 years ago

Bobbie has 100 more followers than Debora. Write an expression that

alukav5142 [94]

Answer: x + 100

Step-by-step explanation:

From the question, we are told that Bobbie has 100 more followers than Debora and x is used to represent the number of followers that Debora has.

The expression that shows the number of followers Bobbie has will be the number of followers that Debora has plus 100. This will be :

= x + 100

4 0

3 years ago

Which expression is equivalent to -9x^-1y^-9/-15x^5y^-3? Assume x is not equal to 0,y is not equal to 0

VladimirAG [237]

I am going to assume that "v" is meant to be a "y"
the answer is b. (3)/(5x^6 y^6)

7 0

3 years ago

Read 2 more answers

Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it.

nataly862011 [7]

Answer: <u>110 feet per second</u>

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

$S1=\frac{45*5280}{3600}=66$

$S2=\frac{60*5280}{3600}=88$

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

$h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}$

$h=\sqrt{12100}=110$

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

7 0

3 years ago