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Fittoniya [83]
3 years ago
8

Consider the following. (If an answer does not exist, enter DNE.) f '(x) = x2 + x − 20 (a) Find the open intervals on which f '(

x) is increasing or decreasing.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
6 0

Answer:

f'(x) is increasing in the open interval (-1/2, +∞), and it is decreasing in the interval (-∞, -1/2).

Step-by-step explanation:

f'(x) is a quadratic function with positive main coefficient, then it will be decreasing until the x-coordinate of its vertex and it will be increasing from there onwards. The x-coordinate of the vertex is given by the equation -b/2a = -1/2. Hence

- f'(x) is incresing in the interval (-1/2, +∞)

- f'(x) is decreasing in the interval (-∞, -1/2)

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9th grade math please help
Leni [432]

Answer:

Only:

B. x=7

D. x=0

Step-by-step explanation:

Substitute the answers in the formula and only 7 and 0 will work.

6 0
3 years ago
For y = x^2 + 10x + 24, write the axis of symmetry, the vertex, and whether the
mylen [45]

Answer:

x= - 2

Step-by-step explanation:

hello :

note : the equation of the axis symmetry  for the parabola : y =ax²+bx+c

when :  a≠ 0 is : x=- b/2a

in this exercice : a=1  and b=10

so : x= -10/2 = -5

7 0
3 years ago
PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!In two or more complete sentences explain how you would set up and solve the following eq
olchik [2.2K]

Peter's account is 910-40x, and Marla's account is 470-2x. This is a system, so you must find the number that makes both equations end up with the same number. Basically trial and error. Here is what I did:

Let's try the number 10. 910-400=510 and 470-20=450. I need a higher number.

Let's try 13 next. 910-520=390 and 470-26=444. Now the number has to be lower.

Let's try 12. 910-480=430 and 470-24=446. Close, and a little lower.

11.5 is too low, and 11.7 is too high.  11.6 has Equation 1 at 446 and Equation 2 at 446.8. Very close!

It is somewhere around 11.6. I hope that this can give you a start in figuring it out, because I don't believe in giving the complete answer, because then you do not learn anything from it.

4 0
3 years ago
Read 2 more answers
I DESPERATELY NEED HELP!!!!! IM GIVING 50 POINTS TO SOMEONE WHO CAN SOLVE THIS PLEASE!!!!!
zhuklara [117]

Answer:

x=0 y=0

x=1 y=5

x=2 y=8

x=3 y=9

x=4 y=8

x=5 y=5

x=6 y=0

Step-by-step explanation:

6 0
2 years ago
A bag contains red balls and white balls. If five balls are to be pulled from the bag, with replacement, the probability of gett
Ipatiy [6.2K]

Answer:

Percentage of balls which are red = 80%.

Step-by-step explanation:

Let the probability of drawing a red ball  be x then the probability of drawing a white ball is 1-x.

There are 5C3 = 10 ways of getting 3 reds in 5 draws so  the probability of this is 10* x^3 * (1 - x)^2.

The probability of getting 1 red in 5 draws = 5C1 * x (1-x)^4.

The  first probability is 32 times the last.

So we have the equation:

10x^3(1 - x)^2  /  5x(1 - x)^4  = 32

2x^2 / (1 - x)^2 = 32

2x^2 = 32(1 -x)^2

2x^2 = 32( 1 - 2x + x^2)

2x^2 = 32 - 64x + 32x^2

30x^2 - 64x  + 32 = 0

15x^2 - 32x + 16 = 0

(5x - 4)(3x - 4) = 0

x = 0.8, 1.333...

The probability must be < 1 so x = 0.8  = 80%.

6 0
3 years ago
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