1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Veronika [31]
3 years ago
9

Heinz has a list of possible functions. Pick one of the g(x) functions below, show how to find the zeros, and then describe to H

einz the other key features of g(x).. . g(x) = x^3 – x^2 – 4x + 4. g(x) = x^3 + 2x^2 – 9x – 18. g(x) = x3 – 3x^2 – 4x + 12. g(x) = x^3 + 2x^2 – 25x – 50. g(x) = 2x^3 + 14x^2 – 2x – 14
Mathematics
1 answer:
MrRissso [65]3 years ago
8 0

<span>g(x) = x3 – x2 – 4x + 4 </span>

<span>You can find the zeroes by factoring the equation. x<span>2  </span>(x - 1) - 4(x - 1) = 0 </span>

<span>(x2 - 4) (x - 1) = 0 </span>

(x + 2) (x - 2) (x - 1) = 0

x = 2, -2, and 1

The following are the key features of g(x):

g'(x) yields the slope

g''(x) yields the concavity

g'(x) = 0 provides the critical points

<span>g''(x) = 0 provides the point of inflection</span>
You might be interested in
Initially, there were only 86 weeds in the garden. The weeds grew at a rate of 29% each week. The following function represents
Orlov [11]

Step-by-step answer:

The base of the exponential function is 1.29 for 7 days, as in

f(x) = 86*(1.29)^x

The new rate for days can be calculated by dividing x by 7 (where x remains the number of weeks), namely

f(x) = 86*1.29^(x/7)

Using the law of exponents, b^(x/a) = b^(x*(1/a)) = (b^(1/a))^x

we simplify by putting b=1.29, a=7 to get

f(x) = 86*(1.29^(1/7))^x

f(x) = 86*(1.037)^x      since 1.29^(1/7) evaluates to 1.037

Rounding 1.037 to 1.04 we get a (VERY) approximate function

f(x) = 86 * (1.04^x)

1.04 is very approximate because 1.04^7 is supposed to get back 1.29, but it is actually 1.316, while 1.037^7 gives 1.2896, much closer to 1.29.

7 0
3 years ago
Read 2 more answers
What are the x-intercepts of 4x^ + 8x - 5
mojhsa [17]
Assuming the exponent is supposed to be "^2" your equation will read:

4x² + 8x - 5

It must set equal to y to be a valid function and the y must be set equal to zero to find x-intercepts.

4x² + 8x - 5 = 0
4x² - 2x + 10x - 5 = 0
2x(2x - 1) + 5(2x - 1) = 0

(2x + 5)(2x - 1) = 0

Set each binomial equal to zero.

2x + 5 = 0
2x = 0 - 5
2x = - 5
Divide both sides by 2
x = - 5/2

2x - 1 = 0
2x = 0 + 1
2x = 1
x = 1/2

Your x-intercepts are x = - 5/2, 1/2 or (- 5/2, 0) and (1/2, 0)
6 0
3 years ago
Peter puts the 3 month supply of dog food on his credit card. If each of his 3 children says that they will pay an equal amount
abruzzese [7]

Answer:

divide the cost of the dog food by three and thats ur answer

Step-by-step explanation:

7 0
3 years ago
I need help pls I only have 3 mins!!
KatRina [158]

Answer:

First one is 6 16/21

Second one is 3 14/15

Step-by-step explanation:

3 0
3 years ago
I really need help and if I don't get this done by today I am going to get a zero https://s3.amazonaws.com/content.accelerate-ed
Nataly_w [17]

Answer: You can't expect everybody to do your work for you. I thought It was 1 question and that's a whole packet. At least look it up on the internet or go ask your parents/siblings. Im not tryna be rude but If I could help you, I would but there are too many questions. Sorry.

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • Is this function or non function
    11·2 answers
  • The midpoint of the segment joining points (a, b) and (j, k) is:
    15·1 answer
  • The length of a rectangle is 3in. More than 3 times a number. The width is 2 in. Less the same number.If the area of the rectang
    14·1 answer
  • Answer the following questions.
    6·1 answer
  • Help.? please, i dont understand.
    5·2 answers
  • Square root of 132 simplify ?
    8·2 answers
  • 6th grade math help me pleaseee
    6·2 answers
  • HELP PLEASE 30 POINTS<br><br> 2x-3y=8 x-3y=8. solve with linear composition
    8·1 answer
  • 3 (n - 4) = 36<br> please show work if you can
    6·2 answers
  • In the diagram, OP = 2 and OP’ = 8.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!