MATHEMATICS COLLEGE

Determine whether f(x) = 4x^2 – 16x + 6 has a maximum or a minimum value and find that value.a
maximum; –10
b
minimum; –10
c
maximum; 2
d
minimum; 2

Answers

Answer 1
Answer:

The function f(x) = 4x² – 16x + 6 has a minimum value is –10 when the value of x is 2. Then the correct option is B.

What is differentiation?

The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.

The function is given below.

f(x) = 4x^2 -16x + 6

Differentiate the function, then we have

(d )/(dx) f(x) =(d)/(dx)(4x^2 -16x + 6) \n\n (d )/(dx) f(x) =8x - 16 \n

The value of x will be

8x - 16 = 0\nx = 2

Then again differentiate the function, if the value comes negative then maxima and if the value is positive then minima.

f''(x) = (d )/(dx) f'(x) \n\nf''(x)=8x - 16 \n\nf''(x) = 8\n\n f''(x) > 0

Then the function is minimum at 2.

More about the differentiation link is given below.

brainly.com/question/24062595
Answer 2
Answer:

Answer:

minium:-2................

Related Questions

If you get this you are a critical thinker. I enter the garden. There are 34 people. You kill 30. How many people are in the garden. Good luck! If you get it correct your answer will be deleted and l will message you to continue the game.​
Below, the two-way table is given for a class of students. Freshmon Sophomora fontores Seniors Male 4 6 2 2 Female 3 4 6 б 3 Total If a student is selected at random, find the probability the student is a junior. Round to the nearest whole percent.​
The nth term of a sequence is -3-3n what is the 6th term
Choose the statement below that describes the relationship between a circles diameter and circumference. A. Circumference times diameter is always π. B. Diameter divided by circumference is always π. C. Circumference divided by diameter is always π. D. There is no relationship between circumference and diameter.​
Which expression is equivalent to the given expression?12(x – 17) A. 12x – 29 B. 12 + 12 • 17 C. 12x – 12 • 17 D. 12x – 17

Foster makes sandwiches at a deli. There are 10 1/2 pounds of turkey at the deli. How many 1/4 -pound turkey sandwiches can he make?

Answers

Answer:

foster can make 42 1/4-pound turkey sandwiches!!!

explanation: 10.5 divided by 1/4 is 42

Answer:

convert pounds to ounces. theres 16 oz. in a pound.

16x10lb=160 oz + 8 additional ounces = 168 oz of meat. theres 4 oz in 1/4 lb so 168 ÷ 4 = 42 sandwiches

The organizers of a convention are drawing lots to pick the host city for the event. Nine city names are written on differentpieces of paper and placed in a bowl. The possible outcomes of drawing a name from the bowl are shown below.
Chicago
Seattle
Orlando
Dallas
Atlanta
Austin
Oakland
Phoenix
Cleveland
What is the probability that Cleveland or Dallas is picked?
OA.
OB.
OC.
DIN COIN
OD

Answers

The probability of Cleveland or Dallas getting picked is (2)/(9).

What is probability?

'Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.'

According to the given problem,

Total number of city names = 9

Favorable events = 2 [ Cleveland, Dallas]

Probability = (Favorable events)/(Total number of events)

Probability of Cleveland getting picked = (1)/(9)

Probability of Dallas getting picked = (1)/(9)

Probability of Cleveland OR Dallas getting picked = (1)/(9)+(1)/(9)

                                                                                   = (2)/(9)

Hence, we can conclude, probability of Cleveland or Dallas getting picked is (2)/(9).

Learn more about probability here: brainly.com/question/11234923

#SPJ2

Answer:

2/9

Step-by-step explanation:

each city has a probability of 1/9

one city 'or' another means to add their probabilities:  1/9 + 1/9 = 2/9

What is the sum of the measures of the interior angles of the stop sign?

Answers

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = (8 -2) * 180 = 1,080

Need help will mark Brainliest no explanation needed

Answers

I can’t see the whole problem but The triangle is SAS and it it is translated

What is the value of P+Q+R+S?

Answers

The question is not clear at all

Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)Vertex: (−3, 4); point: (0, 13)

Answers

The standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point is;

y = x² + 6x + 13

We are given;

Vertex coordinate; (-3, 4)

A point on the graph; (0, 13)

The vertex form of a quadratic equation is given by;

y = a(x - h)² + k

Where h, k are the coordinates of the vertex.

a is the letter in general form of quadratic equation which is;

y = ax² + bx + c

Thus, at point (0, 13) at the vertex of (-3, 4), we have;

13 = a(0 - (-3))² + 4

⇒ 13 - 4 = 9a

9a = 9  

a = 9/9

a = 1  

Since y = a(x - h)² + k is the vertex form, let us put the vertex values for h and k as well as the value of a to get the quadratic equation;

y = 1(x - (-3))² + 4

y = x² + 6x + 9 + 4

y = x² + 6x + 13

Read more at; brainly.com/question/17546421

Answer:

The formula for this quadratic function is x*2 +6x+13

Step-by-step explanation:

If we have the vertex and one point of a parabola it is possible to find the quadratic function by the use of this

y= a (x-h)*2 + K

Quadratic function looks like this

y= ax*2 + bx + c

So let's find the a

y= a (x-h)*2 + K where

y is 13, x is 0, h is -3 and K is 4

13= a (0-(-3))*2 +4

13=9a +4

9=9a

9/9=a

1=a

The quadratic function will be

y= 1(x+3)*2 + 4

Let's get the classic form

(x+3)*2 = (x+3)(x+3)

(x*2+3x+3x+9)

x*2 +6x+13

f(0) = 13
Other Questions
Factorize each expression. (a) r² +2rt - 2st - rs​
A ball is thrown straight out at 80 feet per second from an upstairs window that's 15 feet off the ground. It turns out that its motion can be broken down into its motion in the x-direction (horizontally) and its motion in the y-direction (vertically), and that those two components can be thought of completely independently. In other words, its horizontal motion has no influence on its vertical motion, and vice versa. I've written the two component functions here: x(t) is its position in the x-direction, and y(t) is its position in the y-direction. Which of the following choices is correct? (Ignore air resistance.) NOTE: Use a reference frame that makes all positions (x and y coordinates) of the projectile positive.
PLS HELP NOW ILL GIVE YOU BRAINLIEST ANSWER !!
If x = 3 cm and z = 5 cm, what is the length of y?