“What is the minimum value of the function: x^2+24x-18? Show your work.”

Answers

Answer 1

Answer:

-162

Step-by-step explanation:

x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162

(x+12)²≥0

(x+12)²-162≥-162

⇒ the minimum value of the function is -162


Related Questions

Se quiere realizar la adición y multiplicación de los números enteros 43 y -32. En relación con los signos de las operaciones se puede decir que

Answers

Answer:

El caso de la adición es trivial.

La adición entre los números A y B es:

A + B

Entonces la adición entre los números 43 y -32 es:

43 + (-32)  

No hace falta realizar la suma para darnos cuenta de que el resultado tendra signo positivo, esto se da porque el módulo del número positivo es mayor que el del número negativo.

Así tenemos:

43 + (-32) = 43 - 32  = 11

Para el caso de la multiplicación podemos recordar:

(+)*(+) = (+)

(-)*(+) = (-)

(+)*(-) = (-)

(-)*(-) = (+)

Entonces el producto entre un número positivo y uno negativo (como es nuestro caso con 43 y -32) siempre tendrá un signo negativo.

Entonces podemos concluir que el signo de la multiplicación entre esos dos números va a ser negativo.

También podemos resolver la multiplicación de otra forma para ver esto:

43*(-32)

43*( (-1)*32)

43*(-1)*(32)

(-1)*(43*32)

Que es claramente un número negativo.

Find the area of the given shape?

Answers

Answer:

28

Step-by-step explanation:

Area for a triangle is

1/2(bxh) B-Base H-Height

So

1/2(7x8)

1/2(56)

=28

Fatima paid for 5 pallets of grass to be delivered.
Each pallet of grass cost $129.95.
Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A.$725.95
B.$649.75
C.$581.95
D.$1,030.75

Answers

Fatima paid for 5 pallets of grass to be delivered.
• Each pallet of grass cost $129.95.
• Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
A $725.95
B $649.75
C $581.95
D $1,030.75
Answer:
A $725.95
Step-by-step explanation:
Given:
Number of Pallets = 5
Cost of each pallet = $129.95
Total amount spend on Pallets = Number of Pallets × Cost of each pallet =
Also given;
Amount spend on Delivery = $76.20
Total Amount Paid by Fatima = Total amount spend on Pallets + Amount spend on Delivery =
Hence Fatima paid a total amount of $725.95.

The height of a cylinder is twice the radius of its base

Answers

Answer:

2πr³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ← r is the radius and h the height

Here h = 2r, hence

V = πr² × 2r = 2πr³

Answer:

yes

Step-by-step explanation:

Which choice represents the simplified exponential expression? (11^-2)^7
PLEASE HELP!!!

Answers

Step-by-step explanation:

[tex]( {11}^{ - 2} ) ^{7} = {11}^{ - 2 \times 7} \\ = {11}^{ - 14} [/tex]

Anthony starts with $400 in his bank account. Over the course of a week, he withdraws $50, deposits $70, and withdraws $20. How much money is in his account?

show your work, please

Answers

Answer:

The answer is 400

Step-by-step explanation:

Withdraw means to take out, deposit means to put in. So you adding and subtracting all the numbers. 400-50+70-20= 400

You have 200 feet of fencing to build a rectangular dog pen. If you want the pen to have the maximum possible area. What should the dimensions of the pen be? Show your work.

Answers

Answer:

Each side would be 50 ft

Step-by-step explanation:

200/4=50

50*50=2,500

Techinally this is a square so if they really want it to be a "rectangle" it would be 51 and 49 and the areas would be 2,499...but the answer should be 50

can someone pls help me

Answers

Answer:

x=−8 and y=−4

Step-by-step explanation:

8x−17y=4;−8x+15y=4

add eqn1 and 2

to eliminate x

you will get y=-4

put it zin eqn 1

x=-8

What is the unit rate? 52.5/2.5

Answers

Answer:

21

Step-by-step explanation:

1. If you're trying to gain access to a credit card before you turn 21, which of
the suggestions rely on the support of your parent or guardian?

Answers

I think you should rely on your parent

OLEASE HELLPP I will mark good

Answers

960 cm.






Explanation

help please i been stuck for 2 hours........... the triangle above is a right-angled isosceles triangle. what would the measurement of x have to be, given that the hypotenuse is 8cm and legs a and b have the same length? please explain your answer

Answers

Answer:

4√2 or 5.66

Step-by-step explanation:

x² + x² = 8²

=> 2x² = 64

=> x² = 32

=> x = √32 = 4√2 or 5.66

Can someone answer these? It like due in 15 mins

Answers

Answer:

1 = Supplementary

2 = Vertical

3 = Congruent

4 = Supplementary

5 = Complementary

6 = Adjacent

7 = never

8 = always

9 = sometimes

10 = 79°

11 = 28°

12 = 133°

Step-by-step explanation:

200 reduced by twice my age is 88

Answers

The answer to your question is 56
so you’re 56?

200 - x * 2 = 88

x = 56

Maria had 10.5 pounds of flour. She used all of the flour to fill bags that hold 0.75 pound each.

How many bags was she able to fill? (:

Answers

There are 16 oz per pound, so that 4 oz is equal to 4/16 or 1/4 pound.

Since each box contains 10 packages and each package weighs 3 lbs 4 oz which is equivalent to 3-1/4 lbs , then the weight of each box will be

(10 (3-1/4) = 32-1/2 pounds per box

The weight of 4 boxes will then be (4 boxes) (32-1/2 pounds per box) = 130 pounds.
10.5/0.75= 14 bags

She will be able to fit 14 bags

Carl's grandfather is exactly 5 times older than Carl. Which three statements must be true?​ 1 SEE ANSWER

Answers

Answer:

x = 5y

Step-by-step explanation:

Let the age of Carl's grandfather be x

Let the age of his son be y

If Carl's grandfather is exactly 5 times older than Carl, this can be expressed as;

x = 5y

Hence the required expression is x = 5y

Last week, she bought two pounds and paid $7.96, and this week she bought only one-half pound and paid $1.99. What is the unit rate for the pistachio nuts? How do you know?

Answers

Answer:

$3.98

the unit rate can be determined by dividing the total costs of the pistachio by the total pounds bought

Step-by-step explanation:

unit rate = total cost / total pounds bought

7.96 / 2 = $3.98

1.99 / 0.5 = $3.98

Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Yes, because the slopes of the equations are different so the system of equations will have one solution.
No, because the slopes of the equations are different so the system of equations will have no solutions.
Yes, because the slopes of the equations are the same so the system of equations will have infinitely many solutions.
No, because the slopes of the equations are the same so the system of equations will have no solutions.

Answers

Answer:

Yes, because the slopes of the equations are different so the system of equations will have one solution.

Step-by-step explanation:

Hurry please

here is a triangle prism

why is the surface area of the prism, in square centimeters?

Answers

Answer:

Step-by-step explanation:

(6 * 4) + 2(10 * 5) + (10 * 6)

Multiply 6 by 4 to get 24.

24 + 2(10 * 5) + (10 * 6)

Multiply 10 by 5 to get 50, then multiply by 2 to get 100.

24 + 2(50) + (10 * 6)

24 + 100 + (10 * 6)

Multiply 10 by 6 to get 60.

24 + 100 + 60

Add 24 to 100 to get 124.

124 + 60

Add 124 to 60 to get 184.

184 cm²

The surface area of the prism is 184 cm².

8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?

Answers

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip their server 18% on the cost of the meal (including tax). How much will EACH friend have to pay? Round your answer to the nearest cent.

Answers

Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

The amount that each person should pay is  $22.06   .

What is percent?

Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

here, we have,

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

Learn more about Percent here

brainly.com/question/19131273

#SPJ2

4) Graph f(x) 2(3)*. Compare the graph to the
graph of the parent function. Describe the domain
and range of f.

Answers

Answer  it is 65

Step-by-step explanation:

Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?

Answers

Answer:

9,309

Step-by-step explanation:

550 + (8,730) + 2 + 4 + (23)

= 550 + 8,730 + 2 + 4 + 23

= 9,309

Use the number line to complete the statements.

A number line going from negative 10 to positive 10 in increments of 2.

The opposite of 4 is
.
The opposite of –8 is
.

Answers

Answer:

-4 and 8

Step-by-step explanation:

Answer:

The opposite of 4 is

✔ –4

The opposite of –8 is

✔ 8

Did it on Edge

y = 5 (0.3)? Is this exponential growth or decay?

Answers

I believe it is exponential growth

Answer: decay

Step-by-step explanation:

7.17 x 10' and 8.17 x 1067

Answers

Answer:

1. =71.7

2. =8717.39

Step-by-step explanation: Hope this help :D

Sarah will roll a fair number cube. The number cube is labeled 1 to 6. What is the probability that Sarah will roll a number greater than 2? HELP!

5/6

1/6

2/3

1/2

Answers

Answer:

       5/6 or 4/6

Step-by-step explanation:

6-2=

4/6 -with out two

5/6 -including two

Samantha has 52 jelly beans. She decides that she will eat 4 jelly beans per minute, and she wants to create an expression that represents how many jelly beans she has left after x minutes. Which of the following expressions correctly models this situation?

Select one:

A. 4x + 52

B. x + 52

C. -x + 52

D. -4x + 52

~and also if whoever answers doesn't mind, please put an actual explanation since I just wanna be able to fully understand the concept! It would be greatly appreciated! ~

Answers

Answer:

-4x+52

Step-by-step explanation:

So we know that Samantha has 52 jelly beans and that she'll eat 4 jelly beans per minute in X minutes.

It'd be 4*x=4x

Usually, it'd be 52-4x

But you can create an equivalent

Lets say x=5

So she'd eat 20 jelly beans

52-20=32

BUT

-20+52=32

So, the answer would be D

A fair six sided die is thrown .Find the probability of getting a 4​

Answers

Answer:

1/6

Step-by-step explanation:

total no of out comes= 6

favourable out comes= 1

:. prob( getting 4)=1/6

Please answer correctly! I will mark you Brainliest!

Answers

Answer:

27

Step-by-step explanation:

V=a^3=3^3=27

Other Questions
How did the battle of the coral sea effect the rest of world war 2 ? Need help with this question asap please please Mrs. Logan traveled at an average speed of 55 miles per hour for 3.5 hours and then traveled at an average speed of 60 miles per hour for 2.5 hours. What was the total distance in miles that Ms. Logan traveled during this time? What is the measure of U in the figure shown? Can Somone Help me with my homework Sarah has decided to write a speech about her favorite animals, dogs. She narrows her topic to training dogs and decides the purpose of the speech will be to teach her audience how to train a dog. Which organizational style should she choose for her speech?A. motivated sequenceB. topicalC. chronologicalD. problem/solutionPlease select the best answer from the choices provided True or false? In a linear relationship, a change in one variable will always result in a change of thesame size in the other variable. How was our galaxy formed? Which of the following is an appropriate rule of thumb for evaluating a literary work?A. A poem should never be more than two pages in length B. All good literature should use full sentences and correct grammar C. Literary writers should only write about things theyve experienced D. Well-written literature should fulfill the authors intentions A box slides to the right across a horizontal floor. A person called Ted exerts a force T to the right on the box. A person called Mario exerts a force M to the left, which is half as large as the force T. Given that there is friction f and the box accelerates to the right, rank the sizes of these three forces exerted on the box. a. f < M < T b. M < f < T c. M < T < f d. f = M < T e. It cannot be determined. The units of an item available for sale during the year were as follows: Jan 1 Inventory 22 units at 127 April 15 Purchase 138 units at 117 September 9 Purchase 27 units at 125 There are 42 units of the item in the physical inventory at December 31. The periodic inventory system is used. Determine the inventory cost using the last-in, first-out (LIFO) A restaurant manager needs to rope off a rectangular section for a private party. The length of the section must be 7.8m. The manager can use no more than 27m of rope. Which inequality could you use to find the possible widths of the roped off section? YOOO tell me if yhu cant see the answer Why shouldn't we exercise? Can someone give me a couple of sentences against exercising? The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.A) Determine the difference between the hire purchase price and the cash price.B) Calculate the difference as a percentage of the retail price. When multiple glaciers start their downward flow from a single point, they create a ____.A. CanyonB. Mountain cliffC. Mountain peakD. Natural archE. Table mountain How was Cooper regarded in her time? 4. Find the value of x.Can you pls show work thank you for your time find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi A sharecropper in the South usually needed to: A. supply his own tools. B. supply his own animals. C. let the landowner decide what to plant. D. rely on land he owned to grow his food.Answer is C. let the landowner decide what to plant.