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
Nata [24]
3 years ago
12

Find all values of x (if any) where the tangent line to the graph of the given equation is horizontal. HINT [The tangent line is

horizontal when its slope is zero.] (If an answer does not exist, enter DNE. Enter your answers as a comma-separated list.) y = −9x2 − 2x
Mathematics
1 answer:
Nostrana [21]3 years ago
6 0
By "y = −9x2 − 2x" I assume you meant  <span>y = −9x^2 − 2x (the "^" symbol represents exponentiation).

Let's find the first derivative of y with respect to x:  dy/dx = -18x - 2.  This is equivalent to the slope of the tangent line to the (parabolic) curve.  Now let this derivative (slope) = 0 and solve for the critical value:  -18x - 2 = 0, or
-18x = 2.  Solving for x,   x = -2/18,    or    x = -1/9.

When x = -1/9, y = -9(-1/9)^2 - 2(-1/9).  This simplifies to y = -9/9 + 2/9, or 
y = -7/9.

The only point at which the tangent to the curve is horiz. is (-1/9,-7/9).</span>
You might be interested in
What is the value of this expression? 6 (24÷ 3) - 2​
Makovka662 [10]

Answer:

6 (24÷3) -2

6 (8) -2

48-2

=46

Brackets of division multiplication add and subtract

5 0
2 years ago
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
Asher weighs 15 pounds less ouds less than three times the weight of Audrey hiS sister. Asher weighs 27 pounds
Zigmanuir [339]

Answer: whats the question exactly?

Step-by-step explanation:

5 0
3 years ago
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y &lt;
Mandarinka [93]
Part A:
 The first thing you should do is to graph both lines. Notice that one is of positive slope and another of negative slope.
 The solution of the inequation system is given by the shaded region. That is, all the points that are in the shaded region satisfy the system of inequations.
 Part B:
 the point (-2, -2) is NOT included in the solution area (it is not in the shaded region.
 Mathematically it is demonstrated by substituting inequalities and seeing that they are not satisfied
 inequality 1
 -2 <4 (-2) - 2
 -2 <-10 (false)
 inequality two
 -2> = - (5/2) (- 2) - 2
 -2> = 3 (false).

6 0
3 years ago
Can two different numbers have the same absolute value if your Give me Give an example if no explain why not
svlad2 [7]
Yes they can just think of numbers with opposite signs
I-5I=I+5I the absoulte value is 5

4 0
3 years ago
Other questions:
  • Find the sum or difference.write your answer in simplest form 2/9+1/3=
    12·1 answer
  • What is the value of 4 in the decimal 4.706
    13·1 answer
  • HELPP it’s due today!!! I’ll give brainlist!!!
    14·1 answer
  • A researcher is gathering data to design a wearable device that measures heart rate from the wrist. He/She took wrist measuremen
    15·1 answer
  • In which context will the inequality 4x + 5y &gt; 80 have only integers in its solution set?
    11·2 answers
  • Jack leaves school to go home, He walks 6 blocks North and then 8
    9·1 answer
  • What is the total cost if Jamil uses the pool on 6 days? Explain how to use the equation to find the cost.​
    10·1 answer
  • Find the value of f(4) for the function
    6·1 answer
  • Find an expression for the nth term (tn) in each of the following sequence:
    14·2 answers
  • 3/7​% of a quantity is equal to what fraction of the​ quantity?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!