Given f(x)=3(x-1)(x-7) what is the minimum output value of the function

Answers

Answer 1

Answer:

-27

Step-by-step explanation:

f(x) = 3(x-1)(x-7)

     = (3x-3)(x-7)

     = 3x^2 - 24x + 21

when f(x) = 0, x = 7 or 1

x-intercept of vertix of the graph = (7+1 )/ 2 = 4

f(x) attains it's minimum when x = 4

The minimum output value = 3(4-1)(4-7)  = -27


Related Questions

Lexy and Lonnel applied to the same university. They looked up the average SAT score of students admitted to that university. Lexy’s SAT score was 30 points above the average score. Lonnel’s SAT score was 270 points below the average score. Which expression represents the difference in their scores?

❘-270 - 30❘
❘30 - 270❘
-❘30 - ❘270❘
-❘30❘ + ❘-270❘

Answers

9514 1404 393

Answer:

  (a)  ❘-270 - 30❘

Step-by-step explanation:

One score is -270 and the other is +30. The difference is either of ...

  |30 -(-270)|

or

  |-270 -30| . . . . . . matches choice A

There are 5 water bottles sold for $50. What is the unit price? Round to the nearest cent

Answers

Answer:

$50/5 bottles

$10 per bottle.

must be really good water!

solve the proportion

Answers

Answer :
D) x =18/5


Solution :

find the value of x.​

Answers

Answer: x = 20

Steps:
5x = 100°
x = 100/5
x = 20

So these are vertical angles (share a vertex) which means they are the same measure. Set them equal to each other to find x

[tex](5x) = 100[/tex]

[tex]\frac{5x}{5} = \frac{100}{5}[/tex]

[tex]x = \frac{100}{5}[/tex]

Answer:

[tex]x = 20[/tex]

Identify the slope and y-intercept of the following equation:
3x - 2y = -10

Answers

Answer:

m=3/2,y-int=5

Step-by-step explanation:

y=mx+b is the slope equation. since -10 is at the end of the equation and it does not have a variable next to it yk it is the y-intercept. if you want you draw this on a graph and you can see that you go up 3 and over 2

Tina left for school at 8:35 a.m. and she got back home at 3:45 p.m. How long was
she gone? (SHOW YOUR WORK!! BEST ANSWER GETS BRAINLIEST AND THANKS) *12 points*

Answers

Answer:

430 minutes or 7 hours and 10 minutes

Step-by-step explanation:

From 8:35 am to 9 am is 25 minutes. There are 60 minutes in an hour and 9 am to 3 pm is 6 hours. 3:00 to 3:45 pm is an additional 45 minutes.

60 minutes x 6 hours = 360 minutes

360 + 25 + 45 = 430 minutes

Answer:

7 hours with 10 minutes

Step-by-step explanation:

First, find how much minutes it takes to get to 9 a.m, which is 25 minutes.

Then, count up to 3 p.m, which is 6 hours.

Then, add the 45 minutes to 25, which will give you 70, but since you have more than 60 minutes, convert those 60 minutes to an hour adding that up to 7 hours and ten minutes.

A cuboid has dimensions 8 cm, 5 cm and 14 cm.
8 cm
5 cm
14 cm
Find the volume of the cuboid.​

Answers

Answer:

54cm

Step-by-step explanation:

8cm + 5cm + 14cm = 27 cm + 27 cm = 54 cm

Hopefully someone can see this time, please help

Answers

Answer:

m = -1

Step-by-step explanation:

The slope of the line is -1

Answer:

the slope is -1

A school needs 175 light bulbs.Bulbs come in packages of 15.How many packages should the school order?

Answers

Answer: 12 packages

Step-by-step explanation:

Take 175 and divide it by 15

175/15

You will get 11.6

Since you are unable to order 11.6 packages you will need to order 12 packages to have enough lightbulbs.

Answer:

the school would need to buy 12 pack and that will give them 180 light bulbs they will have 5 leftover

Step-by-step explanation:

15x11=165 thats not enough so they ened to buy 12 packs

Which expression has the greatest value when x=3

Answers

Answer:

The third expression: (2x)^3

Step-by-step explanation:

Plug in 3 for x in each expression

2x^3

2(3)^3

Use PEMDAS

2 (3 × 3 × 3)

2 (9 × 3)

2 (27)

54

2x^3 + 5

(The last expression told us 2x^3 = 54 so feel free to use this information to make life easier)

54 + 5

59

(2x)^3

(2 × 3)^3

Use PEMDAS

6^3

6 × 6 × 6

36 × 6

216

(x - 1)^3

(3 - 1)^3

Use PEMDAS

2^3

2 × 2 × 2

4 × 2

8

216 is the greatest value so the third expression is the answer

A recipe calls for 11 cups of flour, 3 cup of white sugar, and 1 cup of brown sugar. 248
(a) How many total cups of ingredients are there? Show your work using a number line.
(b) Which of the following mixing bowls can you use to make the recipe: 2-cup, 3-cup, or 4-cup? Justify
your answers. could somebody help me on the number line thing? i got the answer for the equation but I don't know how to add it on a number line. thanks!

Answers

Step-by-step explanation:

complete the number line

answer (2 + 2) - 4 + 2

Answers

The answer is 2 jdjjdbfhdjwjwjfhxjsjjwkekdk

Answer:

The answer is 2

Step-by-step explanation:

[tex](2 + 2) - 4 + 2[/tex]

Start by solving what inside the parentheses

[tex]4 - 4 + 2[/tex]

Solve the addition

[tex]0 + 2 \\ 2[/tex]

1 MATH PROBLEM POINTS + BRAINIEST

Answers

Multiply both sides by 1/4

PLEASE HELP ASAP

What is the value of x in the figure?

Answers

the value of x is 25

Steve uses 14 blue beads and 6 green beads to make a bracket. Which ratio compares the number of blue beads to the total number of beads to the total number of beads in one bracelet? A. 14:6 B. 6:14 C. 6:20 D. 14:20

Answers

Answer:

the answer is 14:20

because the number of blue bead is 14 and

the total number of bead is 20

THE ANSWER IS d it’s d
DO THE ANSWWER DDDDDDD
DDDDDDDD

PLEASE HELP
Find the measure of the numbered angles

Answers

Answer:

I believe the answers are;

m<1 = 50°

m<2 = 130°

m<3 = 50°

m<4 = 130°

m<5 = 40°

m<6 = 30°

Name the chord for the circle 14 pts

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: NQ

Explanation: Its the cord

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Which fraction is a multiple of 1/8? Select all that apply.

A. 3/8

B. 8/12

C. 2/8

D. 4/8

E. 8/10

F. 8/8

Answers

Answer:

wouldn't it be all the ones ending in 8? so wouldn't it be 3/8, 2/8, 4/8, and 8/8?

Step-by-step explanation:

A student claims that the function ƒ(x) = 6x4 + 4x2 – 3 is an even function. Is the student correct?

Answers

Answer:

yes he is

Step-by-step explanation:

Yes he is correct
Hope this helps

Write an inequality to represent 7 less than the product of a number, n, and 1/6 is at most 45."
Please help me, I need this right away!!!!

Answers

Answer:

The inequality to represent “7 less than the product of a number, n, and 1/6 is at most 45” is:

[tex]\frac{n}{6} -7\leq 45[/tex]

 

Solution:

Let the number be "n"

From given,

7 less than a product of a number n and 1/6 is at most 45

At most means "less than or equal to"

Therefore, inequality is framed as:

[tex]( n x \frac{1}{6}) -7 \leq 45[/tex]

Thus, inequality is:

[tex]\frac{n}{6} -7\leq 45[/tex]

 Solve the inequality:

Add 7 to both sides

[tex]\frac{n}{6} -7 + 7\leq 45 + 7\\simplify\\\frac{n}{6} \leq 52[/tex]

Multiply both sides by 6

[tex]\frac{6n}{6} \leq 52 multiply 6[/tex]

simplify

[tex]n\leq 312[/tex]

Thus the inequality is solved.

hope it help :)

Help! need this answer quick! ​

Answers

c

b doesn't equal any of that

what is 90 divided by 12????
pls help i need to get my grades up

Answers

Answer:

7.5

Step-by-step explanation:

90÷12 = 7.5.

What is Division?

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items. Division is the reciprocal of multiplication.

90 divided by 12,

on dividing 90 by 12 we get,

7.5 as quotient and 6 as remainder.

Quotient is the number of times a division is completed fully, while the remainder is the amount left that

Hence, 90÷12 = 7.5.

Learn more about division here:

https://brainly.com/question/29775887

#SPJ5

PLEASE HELP ME AS SOON AS POSSIBLE.

Answers

3y + 2 = 62

3y = 60

y = 20

360 - 2(62) = 236

236 ÷ 2 = 118

5x + 3 = 118

5x = 115

x = 23

what is the measure of angle 4 in the diagram shown below?

Answers

Answer:

<4 = 59

Step-by-step explanation:

x + 60 + 61 = 180

x + 121 = 180

x = 59

‼‼‼‼❗❗‼ HELP NEED RIGHT ANSWERS

Answers

Answer:

17,296

Step-by-step explanation:

All you do is 92x47 x4

how to find the spread (range) of the data?

Answers

Sorry if I’m wrong but,

Find the maximum and minimum numbers in the data set. For example, a data set has 500,000 as the maximum and 350,000 as the minimum. Subtract the minimum from the maximum. This is the range.

This pencil cup is made out of plastic. It is 5 cm long 5cm wide and 10cm
tall. How many square cm of plastic were used to make the cup? If the plastic
cost AED 1.50 per sq.cm what is the cost of 4 such pencil cups?

Answers

The sup is 20 cm in total in square it is route 20 which is 10x2 so if its 1.50 dhs per sqm it will be 3 x 10 which is 30 dhs
So 30 x 4 is 120 please mark as brainliest

Answer:

120

Step-by-step explanation:

I have to leave sorry I cannot provide good explanation

P.S. SAVE THE TURTLES AND STOP USING PLASTIC!!!! :D

In ΔUVW, the measure of ∠W=90°, the measure of ∠U=27°, and WU = 9.7 feet. Find the length of VW to the nearest tenth of a foot.

Answers

Answer:

4.9 feet

Step-by-step explanation:

If y lies on a number line , and x is added to y , which of the following would be true about the location of y + x?

Answers

Answer:

Step-by-step explanation:

If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point

A box of 500 envelopes costs $14.89. Before buying, Mr. Ruiz wants to know the price for one envelope. His son Alan quickly makes a calculation and says, "You can buy almost 34 envelopes for $1.00." Here is Alan's work. 500 500 +14.89 33.6 $14.89 $ 14.89 +14.89 $1.00 Mr. Ruiz thanked his son, but said that was not the answer he was looking for. What is the cost for one envelope to the nearest whole number in cents?
PLEASE HELP ME DON'T ANSWER IF YOUR NOT SURE!!​

Answers

Answer: https://brainly.com/question/22661875?answering=true&answeringSource=feedPublic%2FhomePage%2F10

Step-by-step explanation: hope this helps

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