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uranmaximum [27]
2 years ago
15

I need help with this please someone very smart at math this algebra 2

Mathematics
1 answer:
rodikova [14]2 years ago
6 0
I think that the answer is c
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Graph the function y = 2x3 – x2 – 4x + 5. To the nearest tenth, over which interval is the function decreasing?
daser333 [38]
As you progress in math, it will become increasingly important that you know how to express exponentiation properly.

y = 2x3 – x2 – 4x + 5  should be written    <span>y = 2^x3 – x^2 – 4^x + 5.  The 
" ^ " symbol denotes exponentiation.

I see you're apparently in middle school.  Is that so?  If so, are you taking calculus already?  If so, nice!

Case 1:  You do not yet know calculus and have not differentiated or found critical values.  Sketch the function          </span>y = 2x^3 – x^2 – 4^x + 5, including the y-intercept at (0,5).  Can you identify the intervals on which the graph appears to be increasing and those on which it appears to be decreasing?

Case 2:  You do know differentiation, critical values and the first derivative test.  Differentiate  y = 2x^3 – x^2 – 4^x + 5 and set the derivative = to 0:

dy/dx = 6x^2 - 2x - 4 = 0.  Reduce this by dividing all terms by 2:

dy/dx = 3x^2 - x - 2 = 0    I used synthetic div. to determine that one root is x = 2/3.  Try it yourself.  This leaves the coefficients of the other factor, (3x+3); this other factor is x = 3/(-3) = -1.  Again, you should check this.

Now we have 2 roots:  -1 and 2/3

Draw a number line.  Locate the origin (0,0).  Plot the points (-1, 0) and (2/3, 0).  This subdivides the number line into 3 subintervals:

(-infinity, -1), (-1, 2/3) and (2/3, infinity).

Choose a test number from each interval and subst. it for x in the derivative formula above.  If the derivative comes out +, the function is increasing on that interval; if -, the function is decreasing.

Ask all the questions you want, if this explanation is not sufficiently clear.

4 0
3 years ago
Read 2 more answers
Farmer bob has a lot of chickens and pigs. If the pigs and chickens had the total of 17 heads and 46 legs, how much of each anim
valkas [14]
11 chicken and 6 pigs is the answer

2 x 11 + 4 x 6 = 46 legs

11 + 6 = 17 heads
4 0
3 years ago
Write a real-world situation for 7.50y + 9
jok3333 [9.3K]

Answer:


Step-by-step explanation:

Say your going to a concert and parking is nine dollars and it cost 7.50 for every person in the car. Use y as the number of people in your car

5 0
3 years ago
6-8x=7-9x+12<br> solve for x
damaskus [11]
The answer is 69,420
5 0
2 years ago
Read 2 more answers
Help please! I have to answer what is wrong with this ,but I am getting really confused.
Aliun [14]

Answer:

x = 113

Step-by-step explanation:

Vertical angles are congruent. To the left of 113 would be 67 but x is not.

8 0
3 years ago
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