Complete each sentence with minimum or maximum and the corresponding numeric values.

The
value of f(x) = –|x – 4| – 5 is
when x =
.

The
value of f(x) = x2 – 2x +­ 1 is
when x =
.

Answers

Answer 1

Answer:

First problem:  max when x = 4

Second problem:  min when x = 1

Step-by-step explanation:

The graph of f(x) = –|x – 4| – 5 is a translation of that of g(x) = -|x|.  The vertex of the latter is (0, 0).  First this must be translated 4 units to the right and then the resulting graph 5 units downward.  The vertex of this translation is (4, -5).  Since this graph opens downward, this (4, -5) is the maximum function value, that is, when x = 4.

The graph of f(x) = x2 – 2x +­ 1, or (better yet) f(x) = x^2 – 2x +­ 1, or

f(x) = (x - 1)^2 + 0, is that of a parabola that opens upward and has its minimum at x = 1, or (1, 0).


Related Questions

What is a solution to 3x-26/7=-5/x if x/= 0

Answers

Answer:

Step-by-step explanation:

if 6 coins are flipped, find the probability that there is at least one heads?

Answers

63 in 64 chance


With 6 coins you times by 2 and minus by 1 again resulting in a 63 in 64 chance. To find the chance of getting at least one heads if you flip ten coins you times 64 by 2 four times or by 16 once and then minus 1, this results in a 1063 in 1064 chance of getting at least one heads.

Answer:

63 in 64 chance

Step-by-step explanation:

If you for one coin it would be a 50% chance so you multiply that [tex]\frac{1}{2}^{6}[/tex] which would be the probability of no heads 1/64 and at least 1 head you would [tex]1-\frac{1}{64}[/tex] which is [tex]\frac{63}{64}[/tex]. Ask me if you have any further questions

A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?

Answers

Answer:

Formula for volume of cylinder;

V = π[tex]r^{2}[/tex]h

Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.

Plug in your values given that;

8 in. = height

4 in. = radius

V = π[tex]r^{2}[/tex]h

V = 3.14(4^2) x 8

V = 3.14(16) x 8

V = 50.24 x 8

V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.

Clarise and Jim sell pumpkins by the pound at a local farmer’s market. The weights, in pounds, of the pumpkins from the most recent harvest are shown in the box plot. Find the median, range, and interquartile range without the outlier.

Answers

Step-by-step explanation:

also provide box plot..

5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440​

Answers

Answer: 400

Step-by-step explanation:

If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.

What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?

Answers

Answer:

Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation:

On an eight-day hiking trek, Sam utilized six loaves of elf bread. If he consumes the same quantity of bread every day, he wants to know how many loaves of elf bread (b) he should bring on a 12-day hiking trip.
For a 12-day trip, how many loaves of elf bread should Sam bring?

Answers

Answer:

9

Step-by-step explanation:

So you would make use of the rules of direct proportion. When A increases B would also increase vice versa, in this case, A would represent the number of days and B would represent the amount of Elf Bread consumed. Let's say that the unknown value would be D. If we place this into a table it would say:

[tex]\left[\begin{array}{ccc}Days&8&12\\Number of loaves&6&D\end{array}\right][/tex]

Next, you'll make use of the cross-multiplication rule.

So 8 X D = 12 X 6

8D = 72

You'll then divide each side by 8.

[tex]\frac{8D}{8}[/tex] = [tex]\frac{72}{8}[/tex]

D = 9

Sam would consume 9 loaves of day for a 12-day trip.

Hope that I've explained this well enough

8. Instructions: Find the missing side of the triangle.

Answers

Answer:

197

Step-by-step explanation:

to solve Hypotenuse:

a^2+b^2=c^2

Plug in:

28^2+195^2=c^2

Solve:

784+38025=c^2

38809=c^2

sqrt 38809=sqrt c^2

c=191

I hope it helps!!!

This is just a question to answer to boost your points. (students who need points to find answers only!)

What is the correct answer to 5x5/2?

Answers

Answer:

it would be 12.5

Step-by-step explanation:

brainly deleted my answer from before

PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake

Answers

Answer:

Step-by-step explanation:

Step one is not correct. He got 12. He should have obtained 10 -2  = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.

Answer: Step one contains the error.

Answer:

A. Step 1

Step-by-step explanation:

I did it on khan so its right


A growing farming conglomerate increases its water usage at a rate of 10% every year. If it
used 13,000 megaliters of water this year, then how much water will it use 17 years from
now?

Answers

The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.

What is the amount of water that would be used 17 years from now?

The formula for calculating the amount of water that would be needed 1 years from now:

FV = P (1 + r)^N

FV = Future value P = Present value R = interest rate N = number of years

13000 x 1.1^17 = 65,708.11

To learn more about future value, please check: https://brainly.com/question/18760477

Write a real world problem that can be presented by the equation y + 20 = 85

Answers

Sally and Susie went shopping at a grocery store, they spent $85 in total. Sally spent $20, how much did Susie spend?

The equations in this sytem were added to solve for x. What is the value of x?

Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3

Answers

The value of x would be 1.

Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3

Answers

Answer:

fg(x) = 32x²+44x+16

Step-by-step explanation:

fg(x) = f[g(x)]

= f(4x+3)

= 2(4x+3)²-(4x+3)+1

= 2(4x+3)²-(4x+3)+1

= 2(16x²+24x+9)-4x-3+1

= 32x²+44x+16

May I get help on these questions, please?

Answers

hello! here are the basic rules that you need to know to solve these problems:

a diameter is 2 × the radius
the circumference rule is 2×π×radius

I will solve the first question to show how to format.

1: 5/2=2.5
2×2.5×π=5×π=15.7

Is the following parallelogram actually a rectangle?
True
False

Answers

False

Explain

Answer is no, it's not a rectangle

Answer:

False

Step-by-step explanation:

Check if there is a right angle using the Pythagorean Theorem:

7.2^2 + 9.1^2 ≟ 12^2

134.65 ≠ 144,

so since there isn't a right angle, this is not a rectangle.

An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.

Answers

V = IR
V = (10 amperes • 14 ohms)
V = 140 volts

The voltage difference for an outlet will be 140 volts.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

For an outlet,

Current (I) = 10 ampere

Resistance (R) = 14 ohms

Now,

Since, We know that;

The current is the ratio of the potential difference and resistance.

That is,

⇒ I = V / R

⇒ V = I R

Thus, Substitute all the values, we get;

⇒ V = I R

⇒ V = 10 x 14

⇒ V = 140 Volts

Therefore, The voltage difference for an outlet will be 140 volts.

Learn more about the multiplication visit:

https://brainly.com/question/28964278

#SPJ2

Solve for x. Leave your answer in simplest radical form

Answers

Answer:

x = 2√7

using Pythagoras theorem:

7² + ?² = 9²?² = 81 - 49? = √32? = 4√2

For the bottom part:

x² + 2² = (4√2)²x² + 4 = 32x² = 28x = √28x = 2√7

Answer:

this is my answer

5.29

Step-by-step explanation:

Hope this helps

What is the answer to this question?

Answers

Answer:

A = 16.5 cm²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height between bases and b₁, b₂ the bases

here h = 3, b₁ = 7 , b₂ = 4 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²

What about this one?

Answers

Answer:

108

Step-by-step explanation:

Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.

I need this answered please

Answers

Answer:

54

Step-by-step explanation:

1, 3, 5, and 7, all have the same angle size: 126 so we can use this to find 6 and 8 :)

180 - 126 =54

6 and 8 would both equal 54 :)

Have a great day!!

Please rate and mark brainliest!!

it’s 54 bc of alt int angles and vertical angles and that stuff

what is the discount on a pair of shoes with a regular price of $48?

Answers

The discounts on a pair of shoes with a regular price of $48 is 24

3+x=7 help please I’m so confused

Answers

×=4

Step-by-step explanation:

#CARRY LEARNPA BRAINLIEST PO!

Answer:

[tex]\huge\boxed{\bf\:x = 4}[/tex]

Step-by-step explanation:

[tex]3 + x = 7[/tex]

Bring 3 to the right hand side of the equation and isolate the variable.

[tex]3 + x = 7\\x = 7 - 3\\\boxed{\bf\:x = 4}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

WILL GIVE BRAINLIEST
The Coriolis Effect is the measurement of wind speed based on friction from mountains.

Question 2 options:
True
False

Answers

Answer:

false

Step-by-step explanation:

i said so

Answer:false

Step-by-step explanation:

because im smart

brainleist? or scam?

pls help will give brainliest

Answers

definition of parallelogram
definition of bisector
reflexive property of congruence
definition of midpoint

The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

⇒ ABCD is a parallelogram.

Now, We have complete table is,

Statements                        Reasons

1) AD || BC                     Definition of parallelogram.

2) ∠ADB ≅ ∠CBD          Alternate interior angle theorem.  

3) AB || CD                    Definition of parallelogram.

4) ∠ABD ≅ ∠CDB         Alternate interior angle theorem.  

5) DB ≅ DB                  Reflexive property of congruence.

6) ΔABD ≅ ΔCDB         By SAS congruency theorem.

Thus, The complete table is,

3) Definition of parallelogram.

4) Alternate interior angle theorem.

5) Reflexive property of congruence.

6) By SAS congruency theorem.

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ7

Question 17 of 25
After being rearranged and simplified, which equation cannot be solved using
the quadratic formula?
O A. 5x2 – 3x+ 10 = 2x2
B. 2x2 – 3x + 10 = 2x2 + 21
-
O c. x2 - 6x- 7 = 2x
O D. 2x - 4 = 2x2
SUBMIT

Answers

Answer:

B. 2x2 – 3x + 10 = 2x2 + 21

Step-by-step explanation:

2x2 – 3x + 10 = 2x2 + 21

Subtract 2x^2 from each side

2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2

-3x+10 = 21

This is a linear equation and does not use the quadratic equation to solve

-

Which expression is equivalent to 3/5?

Answers

Answer:

6/10 or 0.6 or 60% Hopefully this helps

Answer:

The fractions equivalent to 3/5 are 6/10, 9/15, 12/20, etc. Equivalent fractions have the same value in the reduced form. Explanation: Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number.

Step-by-step explanation:

need help hurry!!!!!

Answers

Answer:
Hope this helps

Answer:

y=3x

Step-by-step explanation:

Okay first you need to solve this. Distribute the 3 first to the parantheses and you get y+3=3x+3. Than you subtract 3 and get y=3x. Now you start at 0,0 the origin and go 3 units up and 1 unit to the right. Continue that until a line shows.  Same with the bottom. Go down 3 left one.

What is the area of the triangle shown below ?3.7mm 4.8mm

Answers

I can’t answer because I don’t have the picture of the triangle

Write the phrase as an expression.
18 added to a number n

Answers

Answer:

n + 18

Step-by-step explanation:

n + 18

18 added to n: n + 18


Ex: 7 added to 3 = 3 + 7 = 10



Hope this helps!
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