MATHEMATICS HIGH SCHOOL

Graph the function f(x) = x4 − 7x3 + 12x2 + 4x − 12 using graphing technology and identify for which values of x the graph is increasing.

Answers

Answer 1

Answer:

we have

$f(x) = x^(4) - 7x^(3) + 12x^(2) + 4x - 12$

The options of the question are

A. X:-3 to x:-2

B.x:-2 to x:-1

C. X:1 to x:2

D. X:2 to x:3

Using a graph tool

see the attached figure

The graph is increasing in the interval (-0.15,2) and the interval (3.4, ∞)

The graph is decreasing in the interval (-∞, -0.15) and the interval (2,3.4)

therefore

the interval (1,2) is included in the interval (-0.15,2)

the answer is the option

C. X:1 to x:2

Answer 2

Answer:

Answer:

Value of x is increasing between $-0.147<x<2$ and $x>3.397$

Step-by-step explanation:

Given : Function $f(x)=x^4-7x^3+12x^2+4x-12$

To find : For which values of x the graph is increasing.

Solution :

We have plot the graph of the given function $f(x)=x^4-7x^3+12x^2+4x-12$

The graph is attached below.

We see that the value of x is increasing from the interval

A- $(-0.147,-12.306)$ to $(2,4)$

B- $(3.397)$ to $(\infty)$

Which means x value is increasing between

$-0.147<x<2$ and $x>3.397$

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Solve by factoring.. m^2 + 8m + 7 = 0

Answers

In order to solve an equation by factoring, it should be that the equation is equal to zero.
m^2 + 8m + 7 = 0
For this case we have, to do completing the square in order to factor this equation.

m^2 + 8m = -7
m^2 + 8m + 16 = -7 +16
(m+4) (m+4) = 9
(m+4)^2 = 9

Take the square root of both sides,
m+4 = 3
m = -1

In the addition problem below, different letters stand for different digits. What five-digit number does SERVE represent?V C R + V C C T = S E R V E

Answers

Answer:

Hi,

10390

Step-by-step explanation:

SERVE is 10390

943+9447=10390

John Gray bought a basic car for $32,750.00, with options that cost $375.00. There's a 6% sales tax in his state and a combined $50.00 license and registration fee. What was John's total cost?A. $35,165.50
B. $33,175.00
C. $35,140.00
D. $35,162.50

Answers

D. 32,750+375=33,125
6% of that is 1,987.5.
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The following table shows the number of medals won in the 2008 Olympics for swimming by the top five countries.Country
Number of Medals
USA
31
Australia
20
Great Britain
6
China
6
France
6
How many degrees will the Australia section be in a circle graph of this data?
52
20°
29°
104

Answers

Answer:

I believe it is 104 degrees.

Step by Step: First, You add all the medals for all the countries, giving you 69. Then, you make Australia's medals a fraction of 69, so 20/69. After this, since a circle has 360 degrees, you make x/360 and cross multiply. This takes you to 69x=7200. Now divide 7200 by 69, which gets you 104.347, or 104 degrees.

Answer:

104 deg

Step-by-step explanation:

Total number of medals: 31 + 20 + 6 +6 + 6 = 69

Number of Australian medals: 20

Fraction of total medals won by Australia: 20/69

A circle has a total of 360 deg.

Since Australia has 20/69 of the medals, it will have 20/69 of 360 degrees in the circle graph.

20/69 * 360 = 104.3

Answer: 104 deg

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1. Solve the equation.
-5 = a/18 (This is a fraction)