Let ​f(x)=x2+10x+29​. What is the minimum value of the function?

Answers

Answer 1

Answer:

54

Step-by-step explanation:

[tex]f(x)=x^2+10x+29 \\ \\ f(x)=(x^2+10x+25)+29+25 \\ \\ f(x)=(x+5)^2+54 \\ \\ \therefore (x+5)^2 \geq 0 \implies (x+5)^2+54=f(x) \geq 54[/tex]


Related Questions

Which of the following is equal to sin 8
A)sin 82
B)cos 8
C)cos82
D)sin98

Answers

Answer:

A

Step-by-step explanation:

sin 82 I think but i just try

what is the variable in this expression 5x2+x+7?

Answers

Answer:

x

Step-by-step explanation:

expand 3(n+6)
This for the test

Answers

Step-by-step explanation:

expanded = 3n + 18

plz mark my answer as brainlist plzzzz if you find it useful ☺️.

Dagny Taggart has just purchased a home and taken out a $300,000 mortgage. The mortgage has a 25 year term with monthly payments and has an APR of 6% (monthly compounding). The total amount of interest that Dagny will pay during the first month of her mortgage is closest to:

a.
1923.24

b.
1816.93

c.
1500

d.
1485

Answers

Answer:

c.

1500

Step-by-step explanation:

The computation of the total amount of interest in first month is shown below:

Interest for first month is

= Mortgage amount × interest rate ÷ total number of months in a year

= $300,000 × 6% ÷ 12  

= $1,500

Hence, the interest in the first month is $1,500

Therefore the c option is correct

If a dozen eggs cost $3.84 calculate the cost of 30 eggs

Answers

Answer:

a dozen is 12 so in this we find the unit rate which will be 3.84/12 which is $0.32 per egg now we multiply this by 30 which is $9.6 which is the cost for 30 eggs

THX mark me brainlyiest

$9.60 ............................

How
Solve The D. E

dy/dx=2x^5 y^3 - 4y/x

Answers

dy/dx (2x⁵ y³ - 4y/x)

dy/dx (2y³ x⁵ - 4y/x)

dy/dx ( 2y³ x⁵ ) - dy/dx (4y/x)

= 2y³ 5x⁴ - (-4y × 1/x²)

=
10x⁶ y³ + 4y
-------------------


harriet is 2 years less than a third of her brothers age. Harriet is 3 years old. How old is her brother? please help​

Answers

I think the answer is 15
15? Not sure. She is 3, and 2 years younger than 1/3 of her brothers age. So, 5 would be 2+3. And 5x3=15 because 5 years is only 1/3 of the age

PLEASE PLEASE PLEASE PLEASE HELP!

Answers

Answer:

x=40°

Step-by-step explanation:

x=180-75-65=40°

There were 382 chairs in the music hall.Write a number greater than 382.

Answers

Answer:

383

Step-by-step explanation:

Factor Method Lcm 20,25,30​

Answers

Answer:

The least common denominator for those three numbers would be 5.

Step-by-step explanation:

5x4=20

5x5=25

5x6=30

please help 30 points !! in a proportional relationship when Y=2 when X=8 Which of the following equations would describe this relationship?

Answers

Answer:

(1)

Step-by-step explanation:

We will try:

(1) y = [tex]\frac{1}{4}[/tex]x => 2 = 2 (seems legit)

(2) y = 4x => 2 = 32 (nope)

(3) y = x - 6 => 2 = 2 (yes but actually no because it is proportional relationship)

(4) y = [tex]\frac{1}{2}[/tex]x - 2 => 2 = 2 (like the above)

Ayuden con la ecuación
[tex] \times + 15 = 51[/tex]

Answers

X=36 that’s what it gave to me
The answer is:


X= 36

The figure shows a square with sides of length 1 and a diameter of length x.

How can you determine the value of x?

Find x.
Pls help i don’t know what this is or how to figure it out

Answers

Answer:

√2 units

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

  c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

  x² = 1² + 1²

  x² = 2

  x = √2 . . . . . . the length of the diagonal (diameter)

_____

Additional comment

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

  side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

Four times the sum of a number n plus 2 equals 3 times the sum of the number plus 5. What is n?

Equation:

n=

Answers

Answer:

nweoksowjxu928idvdiwd9w

4 (n + 2) = 3 (n + 5)
4n + 8 = 3n + 15
4n = 3n + 7
n = 7
Let’s check your answer...
4 (7+2) = 3 (7+5)
4x9 = 3x12
36 = 36
We have a winner!

1. 25% of 300
2. 20% of what number is 50?
3. What percent of 120 is 40?
4. If 20% of 60 is 12. Which represent the percentage?
5. Which represent the base?​

Answers

Answer:

rawrrrrrr

Step-by-step explanation:

rawrrrrrrrrrrrrrrrr

1. 75
2. 250
3. 33.33
4. 20% I think?
5. I’m not sure

Help me on question 5!!! Plsss

Answers

Answer:

The answer is C

Step-by-step explanation:

use an open circle for "less than" or "greater than"and a closed circle for "less than or equal to" or "greater than or equal to".

Round 30.425 to the nearest tenth.

Answers

Answer:

30.4

Step-by-step explanation:

30.425 rounded to the nearest tenth will be 30.4

When rounding to the nearest tenth, we have to see if the hundredths place and thousands place are 0.050 or greater.

If they are, then the tenths place will round up.

In this case, it is only 0.025, so we will keep the tenths place of 30.4

So, the answer is 30.4

Sophia wants a video game. The one she wants costs $38. Sophia has saved $43 toward the video game. How much can Sophia spend and still afford the video game?

Answers

Answer:

She can spend $38 and have $5 left.

Step-by-step explanation:

$43 - $38 = $5. Therefore, she can afford the video game and have $5 left.

Answer:

$5

Step-by-step explanation:

Subtract 48 by 38

48 -  38

You are doing this because after you subtract the game cost from what she has at the moment she will have $5 so she can spend $5 and still get the video game.

Elizabeth invested $67,000 in an account paying an interest rate of 4 %
compdunded annually. Aiden invested $67,000 in an account paying an interest rate
of 4 % compounded daily. After 6 years, how much more money would Elizabeth
have in her account than Aiden, to the nearest dollar?
o

Answers

Answer: $2066

Step-by-step explanation:

$1 US is equivalent to about 6.56 Chinese yuan. A two-bedroom presidential suite on the top floor of a high-end hotel in Shanghai, China was listed at 25,000 yuan per night. What is the cost of this suite per night in US dollars?

Answers

Answer: About 3,811 US dollars.

Step-by-step explanation:

Divide 25,000 with 6.56. That equals about 3,811 US dollars.

hope this helps :)

6/10 times 1/5 pls hurry

Answers

Answer:

is your answer 6/50

Step-by-step explanation:

6/10 X 1/5 = 6/50

What is the length of the missing leg in this right triangle?
A right triangle has a side with length 7 millimeters and hypotenuse with length 25 millimeters.
18 mm
24 mm
26 mm
32 mm

Answers

Answer:

24mm

Step-by-step explanation:

I did the test and got it right

hope this helps :)

Answer:

B)24mm

Step-by-step explanation:

got it right edge 2021

A local hamburger shop sold a combined total of 718 hamburgers and cheeseburgers on Wednesday. There were 68 more cheeseburgers sold than hamburgers.
How many hamburgers were sold on Wednesday?

Answers

Answer:

i believe its 650 hamburgers

PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

14

Step-by-step explanation:

Answer is y =14/1 y=14x


solve
y+ 5- y + 4 = ​

Answers

Answer:

9

Step-by-step explanation:

its 9 lol

Answer:

9

Step-by-step explanation:

Solve:

y-y= 0y or 0

5+4= 9

Hope this helps!

What is x. PLEASE HELP NEED ANSWERS NOW. M=​

Answers

2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )

un terreno de forma triangular tiene 250 pies de base por 180 pies de altura Cuál es la magnitud de su área en metro​

Answers

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Areas..

Bienvenidos al concepto de áreas.

Área de un triángulo = 1/2 * base * altura,

aquí, base = 250, altura = 180, así que obtenemos como

Área = 1/2 * 250 * 180

Área = 250 * 90

Área = 22,500 mtrs.

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

First, let's calculate the area of the triangular piece of land in square feet:

Area = (1/2) x base x height

Area = (1/2) x 250 ft x 180 ft

Area = 22,500 sq. ft

To convert this to square meters, we can use the conversion factor of 1 sq. ft = 0.092903 sq. m:

Area = 22,500 sq. ft x 0.092903 sq. m/sq. ft

Area ≈ 2,094.2 sq. m

Rounding to the nearest tenth of a square meter, we get:

Area ≈ 2,094.2 sq. m

Therefore,

The magnitude of the area of the triangular piece of land is approximately 2,094.2 square meters.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

The complete question:

A triangular piece of land has a base of 250 feet by a height of 180 feet What is the magnitude of its area in meters​

A savings account earns 4% annual simple interest. The principal is $1,100. What is the balance after 5 years?

Answers

Answer:

$220

Step-by-step explanation:

4% of 1100=$44

$44 × 5 years=$220

3(2X+3)+2(3X+2)=9X+4

Answers

The answer to this is -3

Answer:59

Step-by-step explanation:

Round 7.5 to nearest whole number

Answers

Answer:

The answer is 8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

When a number has .5 after it you round up.

So, if a number has 5, 6, 7, 8, or 9 after the decimal round up

If a number has 1, 2, 3, or 4 after the decimal round down

Hope this helps!!

- Kay :)

Other Questions
Mrs. Raymond purchased a rectangular toy chest. Its dimensions are 4 1/2 feet by 2 1/2 feet by 3 feet. What is the total volume of the toy chest? Brainliest for the correct answer! a x + b y is equal to 12 part of me wants to say that the answer is A , but the other part of me is saying the answer is D, which one is it? Treys grandmother has a framed picture with side lengths that are 12 inches. Trey wants to know how much wall space is needed for the picture. 3,864,950 rounded to the nearest ten thousand Scientists want to investigate the effects of chronic acidification on a desert ecosystem. Which independent variable are the scientists most likely monitoring in their investigation? a. The amount of fog during different times of the year b. The composition and amount of seasonable melt water c. The daily production of sulfur dioxide by a nearby factory d. The heaviest traffic periods of the year Two students mixed up a new salt solution and put in blue and red food coloring to make it purple. They weighed 35 mL of the solution and found its mass to be 41 g. Where would the purple layer form if it were used with the four solutions above? Show your math.Answer:The density of the purple solution is _________________________.The purple solution would form a layer __________________________. Jenna Jeffries started her business baking dog treats by investing cash of $1,000. During May, its first month of operations, Jenna's Barkery had revenues of $3,000, all of which was collected in cash. She paid her assistant $1,000 in cash and purchased $200 of supplies on account. The business paid cash dividends of $500. Required:Determine the balance in Cash at the end of the month. Help me pls I don't know what I'm doing whats another term for weak solutions Mia and her friends are planning a trip to the movies. They can go to the movies on Friday, Saturday, or Sunday, and there are 10 different movies at the theater. Which expression represents the number of different combinations of day and movie Mia and her friends can choose? I love you Please answer my question :-) A motorcyclist is making an electric vest that, when connected to the motorcycle's 12 V battery, will warm her on cold rides. She is using 0.25-mm-diameter copper wire, and she wants a current of 4.2 A in the wire. Part A What length wire must she use Select the correct answer.What term refers to the behaviors associated with all of the positions that a person holds?OA.roleOB.role setOC.statusOD.status set What do you think would have the greatest effect on the bodya harmful mutation in a pluripotent embryonic stem cell ANSWER ASAP THEIRS A SCREEN SHOT TO HELP SHOWAND TELL WHY PLEASE 2H + O 2HOConvert grams of H to grams of HO.a. 44,680 g HOb. 5,000 g HOc. 345676543 g HOd. 3335 g HO Please help!!!!!!!!!!!!!!!!!!!!! (0) A baker puts 10 kg of sugar equally into 8 bags. How much sugar is there ineach bag? What were some of the fears that Americans had about government after the American Revolution?