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
11. One card is drawn from an ordinary deck of 52 cards. Find the probabilities of drawing the following.
Scilla [17]

Answer:

  1. 3/4
  2. 4/13
  3. 7/26
  4. 2/13
  5. 5.52

Step-by-step explanation:

<u>(a)</u>

  • Probability (A heart or a black card) = 13 + 26 / 52
  • Probability (A heart or a black card) = 39/52
  • Probability (A heart or a black card) = 3/4

<u>(b)</u>

  • Probability (A heart or a jack) = 13 + 3 / 52
  • Probability (A heart or a jack) = 16/52
  • Probability (A heart or a jack) = 4/13

<u>(c)</u>

  • Probability (A heart and the ace of clubs) = 13 + 1 / 52
  • Probability (A heart and the ace of clubs) = 14/52
  • Probability (A heart and the ace of clubs) = 7/26

<u>(d)</u>

  • Probability (A 9 or a jack) = 4 + 4 / 52
  • Probability (A 9 or a jack) = 8/52
  • Probability (A 9 or a jack) = 2/13

<u>(e)</u>

  • Probability (The 9 of hearts or a jack) = 1 + 4 / 52
  • Probability (The 9 of hearts or a jack) = 5/52
5 0
1 year ago
Somebody pls help me with this
sweet [91]

Answer:

55 minutes

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIST

6 0
2 years ago
Read 2 more answers
Mr. Dewalt suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30%
Dennis_Churaev [7]
First you have to know, that the price the agent found is 70% of  $2075
 (100%-30%=70%)
70%=0,7
$2075 * 0,7 = $1452,5
So 70% 0f $2075 is 1452,5

The price the agant found is $1452,5.
5 0
3 years ago
Simplify radical 12 please
Butoxors [25]
About 3.

hope this helped! :)
4 0
2 years ago
Read 2 more answers
Which mixed number is equal to 7.6
Natali [406]
A mixed number is a number that has a whole number, and a fraction, so the mixed number that is equal to 7.6 is 7 6/10, simplified it would be 7 3/5
8 0
3 years ago
Read 2 more answers
Other questions:
  • $6000 is borrowed for 5 years. If the interest on the loan is $2700, find the monthly payment
    11·1 answer
  • Which number line can you use to simplify 2+(-8)?
    9·2 answers
  • Math Help Please?
    6·1 answer
  • Which of the following is the solution to the compound inequality below
    5·1 answer
  • If you order these 3 from Least I will give 20 points and mark as brilliant 1.)6 3/5, 7 3/4,6.55,6,7.09 2.) 3 8/20,-3.3,3.41,3.2
    10·1 answer
  • -5 -14p &lt; 8p + 7<br> Mathematics
    12·1 answer
  • Can anybody help me with this please <br> I’ll mark you as a brainliest.
    7·1 answer
  • Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the following equa
    5·1 answer
  • Find the value of x and please show how
    15·1 answer
  • PLEASE HELP!!: 600 raffle tickets were sold for $5 each. There is one $500 first prize and three $200 second prizes. The remaind
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!