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
rusak2 [61]
2 years ago
9

Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.​

Mathematics
1 answer:
gulaghasi [49]2 years ago
7 0

Answer:

<h3>The y value achieves its minimum at x = 4/3</h3>

Step-by-step explanation:

Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.

At the turning point, dy/dx = 0

Given y = 3x² - 8x + 7

\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0

6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}

The y value achieves its minimum at x = 4/3

You might be interested in
What is the volume of a square pyramid with base edges 24 feet and slant height 37
-Dominant- [34]

Answer: The volume of pyramid is 6720 ft³

Step-by-step explanation:

Given: Base edge of a square pyramid = 24 feet

Slant height = 37 feet

Therefore height of pyramid is given by

h^2=l^2-\dfrac{1}{2} b^2 where h is height, l is slant height and b is base edge of pyramid

So we have

h^2= 37^2-(\dfrac{1}{2} \times 24)^2= 37^2-12^2=1225 \\\\\Rightarrow h= \sqrt{1225} =35

Height of pyramid is 35 feet

Now the volume of a pyramid is given by

V=b^2\dfrac{h}{3} where V is volume , b is base edge and h is height of pyramid

Therefore

V= (24)^2\dfrac{35}{3} = 6720

Hence , the volume of pyramid is 6720 ft³

7 0
3 years ago
Why equals 3/4 X -12 and why equals negative 4X - 31
Helga [31]

Answer:

  (x, y) = (-4, -15)

Step-by-step explanation:

Perhaps you want the solution to ...

  y = 3/4x -12

  y = -4x -31

Equating the two expressions for y gives ...

  3/4x -12 = -4x -31

  3/4x = -4x -19 . . . . . add 12

  3x = -16x -76 . . . . . multiply by 4

  19x = -76 . . . . . . . . . add 16x

  x = -76/19 = -4 . . . . divide by 19

  y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y

The solution to this system of equations is ...

  (x, y) = (-4, -15)

8 0
3 years ago
What is the factor of x^2 -9x +18
Rashid [163]
X^2 - 9x + 18
factors of 18: 1*18, 2*9, 3*6,
the sums of the factors: 19, 11, 9
the positive 18 tells us both factors have the same sign, the negative 9 tells us they are both negative
(x - 3)(x - 6)
5 0
3 years ago
I need it by tmr<br> ill give brainliest thx
Zina [86]

Answer:

21. B. Graph Z

23. A. neither function nor relation

24. D. relation only

Step-by-step explanation:

21. Graph Z is the only graph which does not pass the vertical line test

23. The graph does not pass the vertical line test, AND it is not merely given x and y points like a relation. It is graphed as a squiggly line with no given x and y points, therefore you could not make a relation from it either.

24. There is an x value of -4 twice, meaning the set does not pass the vertical line test, HOWEVER, it is a given collection of x and y values, making it a relation.

I would appreciate brainliest, have an amazing day

8 0
3 years ago
Whoever gets this problem right with proper work shown will get brainliest
VMariaS [17]

Answer:

100 % or 1

Step-by-step explanation:

There are two dice

Each dice has a possible roll of 1,2,3,4,5,6

The possible sums are 2,3,4,5,6,7,8,9,10,11,12

The probability of getting a sum greater than 1 is 100 % or 1 since the outcomes are all greater than 1

4 0
2 years ago
Read 2 more answers
Other questions:
  • Is Triangle ABC a right triangle? Why or why not?
    6·2 answers
  • If the polygon shown below is a regular nonagon what is the value of x?
    5·1 answer
  • Susan has 2/3 of an hour left to make cards. It takes her about 1/6 of an hour to make each card. About how many cards can she m
    9·2 answers
  • A recipe uses 2.5 cups of flour to make 2 dozen cookies. if pamela wants to make 72 cookies, how many cups will of flours will s
    12·1 answer
  • Use the figure to the right to find the value of PT. T is the midpoint of PQ.
    13·2 answers
  • Disodvontage of Artificial Insemination​
    13·1 answer
  • Belle's Cupcakes recently sold 6 pistachio cupcakes and 8 other cupcakes. Considering this data, how many of the next 56 cupcake
    7·1 answer
  • 3. A circular running track is 14 mile long. Elena runs on this track, completing each lap in 120of an hour. What is Elena’s run
    9·1 answer
  • Do u love school? I while give u brainliest and alot of points to the people who answer first
    8·2 answers
  • Which of the following sentences is true?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!