Algebra Answers

find the maximum or minimum value or the quadratic relation y = x^2 + 8x + 15 

Does the relation have a maximum or minimum value?

find the maximum or minimum value or the quadratic relation y = *7 + 8x + 15 

Does the relation have a maximum or minimum value?

please show me how you got the answer

Madera's mayor is watching a car from the ledge of the water tower. The car is directly approaching the water tower. When first noticed, the angle of depression to the car is 58°. When the car stops, the angle of depression is 77°. The mayor's line of sight is 127 feet above the ground.

Part 1

How far did the car travel from when it was first noticed until it stopped? Round to the nearest foot. 

The car traveled ___________ feet from when it was first noticed until it stopped.

Part 2

Explain how you determined the distance the car had traveled by applying your understanding of the angles and the height of the mayor standing on top of the water tower. 

Marco would like to hang a banner over his shoe store. He has two ladders and would like to know high above the ground each ladder will allow him to place the banner.

Question 1

His 13- foot ladder leans against the building at a point that is 11.3 feet above the ground. 

At what height would a 15-foot ladder touch the building if both ladders form the same angle with the ground? Round your answer to the nearest tenth.

 ____________ feet 

Question 2

A 15-foot ladder leaning up against a wall at the same angle as the 13-foot ladder would touch the wall at _______ feet.

Explain how you determined your answer (explain all work used to determine the answer). Justify your answer.

Question 3

Find the angle that the 15-foot ladder makes with the building. Round your answer to the nearest tenth. 

____________ degrees

Question 4

The 15-foot ladder makes a ________ degree angle with the building.

Explain and show the work you used to solve the problem. Justify the answer you have.

P(x)=6x³+5x²-2x-1

Check your Understanding

Solve the following. Write your solutions on a separate sheet of paper.

1. A private organization distributed 5-kilo rice packs to a certain barangay placed under

special lockdown due to COVID 19. If the rice sells at P40 per kilogram, how much did the

organization spent if a total of 125 rice packs of rice was given?

2. An express delivery driver earns P500 daily for an eight-hour shift and an additional P35 for

every hour after that. Generate a function to solve his total earnings.

3. A computer shop charges P15 for the first hour and P10 for the succeeding hours. If Jacob

pays P45, how many hours did he rent the computer?

4. Ichan bought a car, he puts Php25 000 down payment and make monthly payment of Php12

000. If his car cost Php 457 000, how many years will it take him to pay it off?

5. Riza earns Php90 an hour in a toy factory with an additional of Php45 for her daily meal

allowance. On a Tuesday she earned a total of Php585, how many hours did she work for

that day?​

Search results for If v=(y²+z²-x²) î+ (z²+x²-y²) j^+(x²+y²-z²) k^, then find to it's divergence v and curl v? 

The ratio of grey ties to black ties on display is 5 to 2. Use the ratio table to determine how many black ties will be on display if there are 35 gray ties

Ryan buys some jumpers to sell on a stall.

He spends £160 buying 60 jumpers.

He sells 80% of the jumpers for £12 each.

He then puts the rest of the jumpers on a Buy one get one half price offer.

He manages to sell half the remaining jumpers using this offer.

How much profit does Ryan make?

translate the given situations of linear inequality into mathematical statements.

The value of one Philippine peso (p) is less than the value of one US dollar (d). ______________________

According to PSA, there are more female (f) Filipinos than male (m) Filipinos. ______________________

To get a passing mark in school, a student must have a grade (g) at least 75. ______________________

The expenses of food (f) is greater than the expenses for clothing (c). ______________________

Seven times the number of male teachers (m) is the number of female teachers (f). __________________