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
nekit [7.7K]
3 years ago
13

Find the relative minimum of y = 2x 3 + 14x 2 - 10x - 46

Mathematics
2 answers:
nikitadnepr [17]3 years ago
7 0

Answer:

The minimum value is 47.704  when x = 1/3 correct to the nearest thousandth.

Step-by-step explanation:

y = 2x^3 + 14x^2 - 10x - 46

To find the turning point(s) on the curve we first differentiate:

dy/dx = 6x^2 + 28x - 10   This = zero  for turning points:

6x^2 + 28x - 10 = 0

2(3x^2 + 14x - 5) = 0

(3x - 1 )(x + 5) = 0

x= 1/3, - 5.

We now determine the nature of the turning points:

The second derivative  is 12x + 28

When x = 1/3  it's value is positive.

When x = -5  its value is -60 + 28 which is  negative.

So x = 1/3 gives a relative minimum.

When x = 1/3, y = -47.704.

miss Akunina [59]3 years ago
3 0
The answer is x= 23/12 OR x=1 11/12 OR x=1.916
You might be interested in
How much is a 15% tip if the meal was $32?
Digiron [165]
0.15(32) = 4.80 <=====
8 0
3 years ago
Read 2 more answers
Mr. Bryan's class has 60 students. 1 4 of the students stay for tutoring on Monday. If Mr. Bryan equally divides the students th
exis [7]

Answer:

3

Step-by-step explanation:

You have to divided by 5 but you will get 2.8. But if you round it it will come out to be 3.


3 0
3 years ago
Read 2 more answers
Someone help me pls, for real
Naily [24]

Answer:

whats the question

Step-by-step explanation:

3 0
3 years ago
Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14
lora16 [44]

Answer:Philip's Bagel Shop recently sold 18 bagels, of which 9 were whole wheat bagels. Considering this data, how many of the next 14 bagels sold should you expect to be whole wheat bagels?

Step-by-step explanation:

hahahahahah q

5 0
2 years ago
(2b) A rectangular prism measures 2 &amp; 2/5 inches by 3 &amp; 1/5 inches by 2 inches. How many cubes with edge length 1/5 inch
erastova [34]

Answer:

1920 cubes.

Step-by-step explanation

Turn both the mix numbers into improper fractions.

2 2/5 = 12/5

3 1/5 = 16/5

Then you will turn 1/5 into its reciprocal and multiply both the improper fractions by it. You can just casually multiply 2 and 5.

12/5 * 5/1 = 12

16/5 * 5/1 = 16

2 * 5 = 10

Next you multiply all together to get 1920 cubes.

(I could be missing a step. I apologize if I did.)

3 0
3 years ago
Other questions:
  • Evaluate the function for x=3a
    10·1 answer
  • I need help ASAP!
    14·2 answers
  • How to multiply a whole number and a mixed fraction?
    15·1 answer
  • Which expressions below equal a rational number? Select all that apply
    5·2 answers
  • Bill bought 38 1/2 feet of wire fencing to put around his blueberry plants. He cut the wire into several pieces, each one measur
    8·1 answer
  • What is the solution to 4(3x−5)=−80? x=−5 x=5 x=−253 x=253
    8·1 answer
  • SOMEONE HELP ME PLEASE
    12·1 answer
  • PLEASE ANSWER FAST
    7·2 answers
  • Pls answer I will mark
    13·1 answer
  • Solve the proportion
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!