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
Please help me out please
Oxana [17]

In any trapezoid, the area is given by

A = \dfrac{(B+b)h}{2}

where B and b are the two bases, and h is the height. You're given all these elements already, so you only need to plug the values in:

A = \dfrac{(3+11)\cdot 8}{2} = \dfrac{14\cdot 8}{2} = 7\cdot 8 = 56

7 0
3 years ago
Given that <br> x<br> = 7.3 m and <br> θ<br> = 52°, work out AB rounded to 3 SF.
trapecia [35]

Answer:

223hjvfcnv5ctdydxrxr hgho8

6 0
3 years ago
What is 4,000,000 times 5
Nesterboy [21]
20,000,000 is the answer fren
4 0
3 years ago
Read 2 more answers
Perform the following calculations without rewriting the numbers in decimal form.
RSB [31]

Answer:

Answer will be 140\times 10^{13}

Step-by-step explanation:

We have to perform the calculation (1.42\times 10^{15}-2\times 10^{13}) without changing into decimal

1.42\times 10^{15} can be written as 142\times 10^{13}

So 1.42\times 10^{15}-2\times 10^{13}=(142\times 10^{13}-2\times 10^{13})

Now taking 10^{13} common

10^{13}(142-23)=140\times 10^{13}

6 0
3 years ago
3+x=x^2+3x Rewrite the equation by completing the square. What are the solutions to the equation?
Luda [366]

Answer:

hope this helps

Step-by-step explanation:

3+x=x²+3x

Simply the equations.

= x+3=x²+3x

Subtract x²+3x from both sides.

x+3−(x²+3x)=x2+3x−(x²+3x)

−x2−2x+3=0

Factor left side of equation.

(−x+1)(x+3)=0

−x+1=0 or x+3=0

Answer:

x=1 or x=−3

8 0
3 years ago
Other questions:
  • In an auditorium, 1/6 of the students are 5th Graders, 1/3 are 4th Graders, and 1/4 of the remaining students are 2nd graders. I
    10·1 answer
  • Subtracting the second equation from the first <br> -2x + 7y = 10<br> 3x + 7y = 2
    11·2 answers
  • Select the graph that shows the correct sum
    13·1 answer
  • What is the value of x in the solution to this system of equations <br> 3x=2y+14<br> y=-6x+18
    12·1 answer
  • Beth has already jogged 3 miles. she plans to jog less than 12 miles. which inequality can be used to find the number of miles (
    9·1 answer
  • olivia goes to egypt and saw a model of a pyramid. She enlarged it using a scale factor of 1.2. What will be the perimeter and a
    8·1 answer
  • Help me ASAP please I don't understand it please help It is dued by TONIGHT
    8·1 answer
  • A chemist is using 362 milliliters of a solution of acid and water. If 12.1% of the solution is acid, how many milliliters of ac
    10·2 answers
  • Minimize Q=x^2+2y^2, where x+y=3
    9·1 answer
  • A group of 4 friends bought movie tickets. Each person also bought a large popcorn for $7.50. If they spent a total of $72, how
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!