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

I NEED HELP ASAP
8-4: MathXL for School: Practice & Problem Solving
O Assignment is past due (03/12/
8.4.PS-11
Question Help
Z1 and 22 are complementary angles. The measure of Z1 is 38°
The measure of Z2 is 4x. Find the value of x. The figure is not drawn
to scale.
1
The value of x is
va
VI
(1,1)
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Enter your answer in the answer box and then click Check Answer
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Clear All
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Answers

Answer:

your answer will be x=13

Step-by-step explanation:

hope it helps.

Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?

Answers

Answer:

$420

Step-by-step explanation:

Given data

GIven ratio=  2:3

The total ratio= 2+5= 7

Ann's share= $120

Let us apply the part to all approach

let the total amount be x

so for Ann

2/7= 120/x

cross multiply

2x= 120*7

2x= 840

divide both sides by 2

x= 840/2

x= 420

Hence the amount shared is $420

what polygon is formed?

Answers

Answer:

Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.

Step-by-step explanation:

The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many times bigger than Colorado is the Indian Ocean?

Answers

Answer:

270 times

Step-by-step explanation:

The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.

If x=2,find the value of x²+1/x²​

Answers

Answer:

17/4 or 4 1/4

Step-by-step explanation:

Substitute x = 2 into the expression x² + 1/x².

(2)² + 1/(2)²

Evaluate the exponents in the expression.

(4) + 1/(4) 4 + 1/4

Multiply 4 by 4/4 to get a common denominator of 4.

16/4 + 1/4

Add the numerators together.

17/4

The value of x² + 1/x² if x = 2 is 17/4, or 4 1/4.

Work out the size of angle x.
38°
х
101

Answers

Answer:

41°

Step-by-step explanation:

the sum of the interior angles is 180 degree

so,

38 + x + 101 = 180

139 +x = 180

x = 180 - 139

x= 41°

The expressions p(200-5p)and 200p-5p2define the same function. The function models the revenue a school would earn from selling raffle tickets at p dollars each.

At what price or prices would the school collect $0 revenue from raffle sales? Explain or show your reasoning.

The school staff noticed that there are two ticket prices that would both result in a revenue of $500. How would you find out what those two prices are?

I really have no idea. If anyone could help that would be great!

Answers

a. Prices at $0 revenue

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

b. Prices at $500 revenue

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

Learn more about revenue here:

https://brainly.com/question/25623677

A florist used 18 flowers to make a bouquet, including 8 lilies.

What is the probability that a randomly selected flower will be a lily?

Write your answer as a fraction or whole number.

Answers

Answer:

4/9 will be the probability.

Hope it helps you!!

Somebody help me plzz

Answers

Answer:

60

Step-by-step explanation:

straight line =180

180-120=60

60 thats all it is ...

Solve for :
92 + 210
48 + 140
Rep

Answers

48+140=188

92+210=302

if you at all it equals 490

What is the slope of this line? Please answer quick

Answers

Answer:

the slope is 2

Step-by-step explanation: the slope is the rise over run

The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.

Find the area of the composite figure below.

Answers

Answer:

96m

Step-by-step explanation:

SOLVE: 3/4 x 4/5 = *

Answers

3

4

×  

4

5

=  

3

5

Result in decimals: 0.6

Calculation steps:

3

4

×  

4

5

=  

3 × 4

4 × 5

=  

12

20

=  

12 ÷ 4

20 ÷ 4

=  

3

5

h−6 ≤−8.4
hope you have a good day stay safe

Answers

Answer:

           h ≤ -12/5

Step-by-step explanation:

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "8.4" was replaced by "(84/10)".

Rearrange:

Rearrange the equation by subtracting what is to the right of the less equal sign from both sides of the inequality :

                    h-6-(-(84/10))≤0

Step by step solution :

STEP

1

:

           42

Simplify   ——

           5

Equation at the end of step

1

:

                  42

 (h - 6) -  (0 -  ——)  ≤ 0

                  5

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  5  as the denominator :

             h - 6     (h - 6) • 5

    h - 6 =  —————  =  ———————————

               1            5    

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(h-6) • 5 - (-42)     5h + 12

—————————————————  =  ———————

        5                5  

Equation at the end of step

2

:

 5h + 12

 ———————  ≤ 0

    5  

STEP

3

:

3.1    Multiply both sides by  5

3.2    Divide both sides by  5  

     h+(12/5)  ≤ 0

Solve Basic Inequality :

3.3      Subtract  12/5  from both sides

           h ≤ -12/5

Inequality Plot :

3.4      Inequality plot for

        h  + 2.400  ≤  0

The value of h is less than or equal to -2.4.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

h−6 ≤−8.4

Now, add both side 6

h−6 + 6 ≤−8.4 + 6

h  ≤−2.4

Hence, the value of h is less than or equal to -2.4

Learn more about inequality here:

https://brainly.com/question/28823603

#SPJ2

Plssssss help I need an answer

Answers

Answer:

Me encanta el pollo, de todos modos, un día que es hoy, por cierto, fui a la tierra de los pollos y caminé en México, ¿sabías que es mi sueño? ¿Olvidé que mi nombre es jemma y me gusta caminar? párrafo así que nos vemos

Step-by-step explanation:

R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1

Answers

Answer:

R=x = R= −2 =x =6 =R =x =− 3=

Step-by-step explanation:

9
Find the missing angle.
20"
80°
100°
50
80°
70°

Answers

Answer:

80°

Step-by-step explanation:

20°+80°+missing angle=180°

missing angle=180°-100°=80°

Hey !! Can someone please help me with this??

Answers

Answer:

[tex]8^2[/tex] and 4 x 4 x 4

Step-by-step explanation:

4 to the third power, is the same as 4 x 4 x 4.

This is then equal to 64.

8 squared is also equal to 64, making it also an answer.

None of the other ones work.

Hope this helps and have a nice day!! :) :] :D

Can u help me with my work pls

Answers

Answer:

The mountain is 8.

The map is 96.

The compass is 6.

The hiker is 54.

The train is 14.

The a corn is 26

Hope this helps.

36-4=32/4=8

24+24=48

48/16=3

4(9)=36

20-15=5

31-12=19

Trees=8
Map=48
Compass=3
Hiker=36
Backpack=5
Acorn=19

How can I tell if a system of equations has one, no, or infinitely many solutions?

Answers

Answer:

There are many ways to interpret if whether or not a system of equations has solutions or not. Here is one way that is most ideal for most, if not, all equations: using graphs.

If the graphs of the set of equations do NOT intersect, then there are no solutions (because no x or y value will ever make both equations true)If the graphs of the set of equations DO intersect at one point, then ONLY that one point will make both equations true. (One solution)If the graphs of the set of equations are identical on the graph, then there are infinite solutions that make both equations true.



Lella is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 14 feet and its width is 11 feet. Suppose each bag of fertilizer covers 22
square feet. How many bags will she need to cover the garden?

Answers

Answer:

Step-by-step explanation:

14ft(11ft)(b/22ft^2)=7b

She will need 7 bags of fertilizer.

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

The answer you are looking for is C

78 is 65% of what number (can someone explain how to solve this?)

Answers

Answer:

120

Step-by-step explanation:

78 is 65% of what number.

Let's break down this expression.

In this case "is" means "equals" so we will use the equal sign (=)

65% can be written as 0.65 or 65/100

"of" indicates multiplication

"what number" will be represented by x.

Now, put this all together.

78 = 0.65 • x

To solve for x, divide both sides by 0.65

120 = x

This is your answer.

Check this by finding 65% of 120.

0.65 • 120 = 78

Your answer is correct.

Hope this helps!

please help, thank youu! :)

Answers

Answer:

false is the write answer you can write it

Answer:

false

Step-by-step explanation:

if u divide y÷x each time u won't get the same answer so I t wouldn't be proportional

Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).

Answers

Answer:

y = -2x + 2

Step-by-step explanation:

8 + 4/ -6

= -2

y = -2x + b

8 = -2(-3) + b

8 = 6 + b

2 = b

check work

-4 = -2(3) + 2

-4 = -6 + 2

-4 = -4

it is correct

HELP ASAPPPPP NO WRONG ANSWER PLS

Answers

Answer:

40

Step-by-step explanation:

one cubic cm would be 2x2x2=8 half cm³

you have 1x2x2.5 cm cube = 5 cm³

5 x 8 = 40

another way to look at it:

2 1/2 = 5 half-cubes long

2 = 4 half cubes wide

1 = 2 half cubes tall

5 x 4 x 2 = 40

Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???

Answers

She used 1 3/4 bags of oranges
You multiply them and get 7/4 which equals 1 3/5 bags.

Given that cos 27° = 0.891, enter the sine of a complementary angle.
sin

Answers

9514 1404 393

Answer:

  sin(63°) = 0.891

Step-by-step explanation:

The cosine of an angle is the sine of its complement. The angle with a sine of 0.891 is 90° -27° = 63°.

   sin(63°) = 0.891

-3(d + -2) + -4 = 5

solve for d​

Answers

Answer:

d=−1

Step-by-step explanation:

−3(d−2)−4=5

Step 1: Simplify both sides of the equation.

−3(d−2)−4=5

(−3)(d)+(−3)(−2)+−4=5(Distribute)

−3d+6+−4=5

(−3d)+(6+−4)=5(Combine Like Terms)

−3d+2=5

−3d+2=5

Step 2: Subtract 2 from both sides.

−3d+2−2=5−2

−3d=3

Step 3: Divide both sides by -3.

−3d

−3

=

3

−3

d=−1

[tex]-3(d+(-2))+(-4)=5[/tex]

[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]

is this the area of a this
pls help and explain

Answers

Answer:

Step-by-step explanation:

so first what you want to do is split the shape in to

Draw a line down where the 2 is.

you should have a rectangle and a triangle

then you find the area of the rectangle

Rectangle:

5 x 2 = 10m^2

After than you try to find the triangles area

the bottom of the triangle is 9m but since to split it in 2 you will now have 7m

multiple 5 times 7 and you will receive 35 then you divide that by 2 and you will have 17.5m^2

Add your two areas together and you will get 27.5m^2

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