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nlexa [21]
3 years ago
10

For which intervals the graphs of the functions f(x) = x^3 + x^2 - 4x - 4 is positive

Mathematics
1 answer:
Nookie1986 [14]3 years ago
5 0

Step-by-step explanation:

Consider a function

f

(

x

)

which is twice differentiable. The graph of such a function will be concave upwards in the intervals where the second derivative is positive and the graph will be concave downwards in the intervals where the second derivative is negative. To find these intervals we need to find the inflection points i.e. the x-values where the second derivative is 0.

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The radius of a circle is 7 mm. What is the area.
Solnce55 [7]

Answer:

A= 153.94 mm

Step-by-step explanation:

A = πr²

A=π(7)²

A= 153.94 mm

7 0
2 years ago
Find parametric equations and symmetric equations for the line of intersection of the given planes. x + y + z = 5, x + z = 0
oee [108]

The next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

What is the meaning of parametric and non parametric?

  • The assumptions behind parametric statistics relate to the population's distribution from which the sample was drawn.
  • Since no presumptions are made while using nonparametric statistics, data can be gathered from samples that do not fit any particular distribution.

x + y + z = 5, x + z = 0

the line satisfies

x + z = 0 , y = 5

thus

x = t, y = 5 and z = -t .

the first one is technically already the symmetric equations of the line.

thus:

x = -z ; y = 5

the next set is the parametric equations of the same line .

x = t, y = 5 and z = -t .

Learn more about parametric equations

brainly.com/question/12718642

#SPJ4

4 0
1 year ago
What is the inverse of f(x) = sqft x+ 3
grin007 [14]

Answer:

f^{-1} (x)=x^{2} -3

Step-by-step explanation:

Given the function

f\left(x\right)=\sqrt{x+3}

We can find the inverse function by exchanging x and y, and then solve for y.

y=\sqrt{x+3}

Replace x with y.

x=\sqrt{y+3}

square both sides

x^2=y+3

y=x^2-3

Hence,

f^{-1} (x)=x^{2} -3

8 0
3 years ago
If f(x) = 4x + 12 is graphed on a coordinate plane, what is the yintercept of the graph?
Aneli [31]

Answer:

12

Step-by-step explanation:

this equation is in slope intercept form which is

y=mx+b

you just have to remember that m is your slope and b is your y intercept

therefore, the y intercept is 12

6 0
4 years ago
Read 2 more answers
Parallel lines cut by transversal. How to find angle measure.
allochka39001 [22]
#1 30
#2 150
#3 110
#4 60

#5 2x+50+3x=180
combine like terms

5x+50=180
subtract 50 from both sides

5x=130
divide both sides by 5 to isolate the variable

x=26

#5 3x=3(26)=78
#6 2x+50=2(26)+50=102

#7 AGE and CHG, AGH and CHF, EGB and GHD, HGB and FHD

#8 AGE and FHD, CHF and EGB
7 0
4 years ago
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