MATHEMATICS MIDDLE SCHOOL

The graph of which function has a minimum located at (4, –3)?f(x) = x2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = x2 – 4x + 5
f(x) = 2x2 – 16x + 35

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

In order to solve the question, we have to derivate each function.

1) f(x) = x2 +4x -11

Then,

f'(x)= 2x +4

Now, if f'(4)=0 we would have a critical point, which could be a minimum. Let's find out:

f'(4)= 2*4 +4 = 12 ≠ 0 then this function doesn't not have a minimum at (4, -3)

2) f(x) = –2x2 + 16x – 35

Then,

f'(x)= -4x +16

Now, if f'(4)=0 we would have a critical point, which could be a minimum. Let's find out:

f'(4)= -4*4 16 = 4 ≠ 0 then this function have a critical point at (4, -3)

then,

f''(4) =-4 <0 then we have a minimum at (4, -3)

3) f(x) = x2 – 4x + 5

Then,

f'(x)= 2x -4

Now, if f'(4)=0 we would have a critical point, which could be a minimum. Let's find out:

f'(4)= 2*4 -4 = 4 ≠ 0 then this function doesn't not have a minimum at (4, -3)

4) f(x) =  2x2 – 16x + 35

Then,

f'(x)= 4x -16

Now, if f'(4)=0 we would have a critical point, which could be a minimum. Let's find out:

f'(4)= 4*4 -16 = 4 ≠ 0 then this function doesn't not have a minimum at (4, -3)
Answer 2
Answer: It is the third option on Edge

Related Questions

X/-4=-3 show your work
levi watched his favorite movie 9 times on dvd. the movie is 1 6/10 hoirs long. how many hours did it take levi to watch the movie 9 times??
What is the middle number when the numbers {8, -2.4, 3.2, -1.5, 1.3} are ordered from least to greatest?
I am a quadrilateral with exactly one pair of opposite sides that are parallel. Who am I?
Which fractions are equivalent to -3/8? A. -6/16, B. 12/32, C. -3/8, D. 9/-24

Marisol is painting on a piece of canvas that has an area of 180 square inches. The length of the Painting is 1 1/4 times the width. What are the dimensions of the painting

Answers

let x be a width
1 1/4x be the length (or it can be 5/4 i prefer this one)

formula for rectangle
lxw=a
5x/4(x)=180
4[5x^2/4=180]4
5x^2=720
x^2=144
x=12

so width is 12 and length is
5x/4
5(12)/4
60/4
=15

In which quadrant is the number 6 – 8i located on the complex plane?I
II
III
IV

Answers

The number 6 - 8i is located in the thirdquadrant of the complex plane.

Option C is the correct answer.

What are quadrants?

The term "quadrants" usually refers to the four regions of the Cartesian plane, which is a two-dimensional coordinate system.

The plane is divided into four regions called quadrants, labeled I, II, III, and IV, which are numbered counterclockwise starting from the upper right quadrant (I).

Quadrant I: The point has positive x and positive y coordinates.

Quadrant II: The point has negative x and positive y coordinates.

Quadrant III: The point has negative x and negative y coordinates.

Quadrant IV: The point has positive x and negative y coordinates.

We have,

To determine the quadrant where the complexnumber 6 - 8i is located, we need to consider the signs of the real and imaginary parts of the number.

The realpart of the number is 6, which is positive, indicating that the number lies to the right of the origin.

The imaginarypart of the number is -8i, which is negative, indicating that the number lies below the origin.

Therefore,

The number 6 - 8i is located in the thirdquadrant of the complex plane.

Learn more about quadrants here:

brainly.com/question/29296837

#SPJ7

Answer:

IV

Step-by-step explanation:

The 6 is to the right of the  x axis ( positive x) and the -8i is  below the x axis to the right.

I need help ASAP!Im slow in the head and I don’t pay attention in class so yea if u could plz help me?

Answers

Answer:

see below

Step-by-step explanation:

y = x+.6

Solve for x

Subtract .6 from each side

y-.6 = x+.6 -.6

y-.6 =x

Let y = 3      y-.6 = 3-.6 = 2.4   =x       x=2.4

Let y=4.2     y-.6 = 4.2 - .6 = 3.6 =x    x=3.6

Let y =2      y-.6 = 2-.6 =1.4 =x            x=1.4

The number sentence is an example of which multiplication property 6×7=(6×5)+(6×2)

Answers

Associative property is what I believe the answer to be.

Explain the steps you would take to write 36/10 as a decimal

Answers

the number 36 is really 36.000000... with infinite zeroes 
so to divide by tan move the decimal one place to the left 
so 36/ 10= 3.6 
I would simply solve the fraction as a division question. To divide 36 by 10, just move the decimal one place to the left. That gives you 3.6
So, 36/10 = 3.6
Hope that helps!

Fernando's family traveled 272 miles on a road trip last weekend. They drove for four hours. What was the rate at which Fernando's family traveled? Write and solve a multiplication equasion.

Answers

Total distance traveled by Fernando's family = 272 miles
Time taken to travel the distance of 272 miles = 4 hours
Then we can say that
The distance traveled by Fernando's family in 4 hours = 272 miles
So
The distance traveled by
Fernando's family in 1 hour = (272/4) * 1 miles
                                             = 68 miles
From the above deduction we can easily conclude that Fernando's family traveled at a rate of 68 miles per hour. I hope to have helped you. 
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