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
Agata [3.3K]
2 years ago
6

Solve the following question:

Mathematics
1 answer:
vredina [299]2 years ago
4 0

Answer:

x = 2, x = 8

Step-by-step explanation:

reminder that f'(x) = m_{tangent}

Differentiate f(x) term by term using the power rule

\frac{d}{dx} (ax^{n} )  = nax^{n-1}

f(x) = \frac{1}{3} x³ - 5x² + 2x + 10

f'(x) = x² - 10x + 2

Equating f'(x) to - 14

x² - 10x + 2 = - 14 ( add 14 to both sides )

x² - 10x + 16 = 0 ← in standard form

(x - 2)(x - 8) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 8 = 0 ⇒ x = 8

You might be interested in
Shop is giving 10% discount on each item the mark price of an item is $60 so the discount amount should be​
maxonik [38]
<h3>Answer:  $6</h3>

Explanation:

To take 10% of anything, move the decimal point 1 spot to the left.

The number 60.0 will become 6.00 or simply 6.

In other words, we chop off the 0 at the end go from 60 to 6.

6 0
2 years ago
A building in the shape of a pyramid was recently built. Each side of the pyramid’s square base has a length of 40 feet and the
Alex

Answer:32,000ft^3

Step-by-step explanation:

3 0
2 years ago
Paul answer 2 out of 5 questions correctly Jan answered 43% of her questions correctly and Juan answered 13 correctly and 6 inco
nika2105 [10]
2/5 = 40%
43%
13/19 = 68.4%

Juan
7 0
3 years ago
Which number line shows the solution to the inequality 8x – 9 &lt; –41?
lora16 [44]

Answer:

A

Step-by-step explanation:

In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.

So, moving 9 to the other side, you get, 8x<-32

Then, you can divide by 8 on both sides to get x alone.

You get, x<-4.

From this, we can see that it should be an open dot at -4, and pointing to the left.

So, the correct number line is A.

7 0
2 years ago
Which value of the x is in the solution set of the following inequality -x+8&gt;6
vfiekz [6]
The answer would be 1
7 0
2 years ago
Other questions:
  • Convert the equation to slope- intercept and standard form.<br> y-4=5 + 1/2x
    14·1 answer
  • Byron bought a keyless entry door lock that has the digits 0 through 9 on the keypad. He wants to choose a three-digit entry cod
    8·2 answers
  • TRUE OR FALSE."Some isosceles triangles are not equilateral.''
    11·1 answer
  • Only answer if you know please
    12·1 answer
  • F1(x)=|x|, f2(x)=|x-2|, f3(x)=|x+1| , f4(x)=|x-5|
    15·1 answer
  • In ATUV, Y is the centroid. If TY = 30, what is YW?<br> A.15<br> B.45<br> C.30<br> D.60
    6·2 answers
  • Listen up i'll give a brainlist !!!!!!!!!!!! please answer 100% correct !! (view image to answer for part a,b,c )
    8·2 answers
  • State the type of angles and solve for the given variable.
    11·2 answers
  • What percent of 50 is 10?<br>​
    7·2 answers
  • D) A certain production process takes two stages 1 and 2. In a given period 5,000 units were introduced in process one and the c
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!