Quadratics
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Random
100

Solve for x

x2-9x+16=2

x=2, x=7

100

Let f(x)= 3x2-6x+38 & g(x)= -2x2+3x-30

Let h(x)= f(x)-g(x). Find h(x)

h(x)= 5x2-9x+68

100

True or False:

Every square is a parallelogram, but not every parallelogram is a square?

True 

100

a)The acronym we learned for Trigonometry

b) Pythagorean Theorem

a) What is SOHCAHTOA

b) a2+b2=c2.   or 

leg12+leg22=Hypotenuse2

100

What is 6/2(1+2)

9

200

What are the factors of x2+15x+54

(x+9) and (x+6)

200

Graph y= (x+2)2-2

Show graph

200

The area of circle G is 76 square inches. Find the radius and area of the sector given that the measure of the sector is 120o.

r= 4.92, AOS=25.33

200

A right triangle has a hypotenuse that is 8 foot long and one side that is 5 foot long. What is the length of the missing side? (Round to two decimal places)


6.24

200

If one mammoth weighs 20 tons and a cow weighs 365lbs and a cat weighs 300 ounces, how much wood could a woodchuck chuck if a woodchuck could chuck wood. By O & A

Freebie

300

Solve by quadratic formula and simplify

3x2-4x=-6x-7

(-1+_2sqrt5)/3

300

Let f(x)=2x+3, h(x)=3x2  Find f(h(2))

27

300

Find x & m<RTG


x=20, m<RTG=60

300

Angle x has an opposite side of 14 and hypotenuse of 33. What is the measure of angle x? (round to two decimal places)

25.10o

300

Find (4-9i)(4+9i)

97

400

Solve using Complete the Square

x2+6x+12=0

x=-3+-i √3

400

You go Black Friday shopping and find a pair of Balenciagas that you really want that retail for $1250. All items are 35% off in the store and you have a $50 coupon, but sales tax is 8.75%. Which is going to give you the better deal: if you a) apply the coupon after the discount vs b) apply the coupon first then the discount. How much do you end up paying for the shoes? (Round to nearest cent)

Applying the coupon after the discount will get you the better deal by $17.5.

Total Cost of Shoes: $829.22

400

Find x, y, & z


x=58, y=z=61

400

Hayden decides to visit New York for a vacation. She stops by the Empire State Building and wants to know how tall it is... but her phone is dead. She estimates the distance from herself to the base to be 70 meters. The angle from herself to the top is about 80o. How tall is the building in meters? (Round to two decimal places)  

396.99

400

Due to its heavily fortified structure, this shape is used on most if not all bridges. (Answer must be in What is a _____ format)

What is a triangle

500

Derive the quadratic formula by completing the square. (Hint: Start with ax2+bx+c=0 then complete the square.)

See Work

500

a) Find and graph the inverse of f(x)=2x-4

b) How can you check if your answer for the inverse is correct?

a) f-1(x)=(x+4)/2 or 1/2x+2

b) Plug one of the functions into the other and you should get x.

500

You visit the oldest tree in the world, Methuselah, and want to know how old it actually is. You estimate the diameter including the bark to be 87 inches. The bark is approximately 1.5 inches thick. The width between each tree ring is 0.00865 inches. Using a=r/w where a is the age, r is the radius of the tree without bark, and w is the width between each ring; find the age, cross-sectional area, and circumference of the tree. (Area and circumference not including bark) Round to nearest whole number for all answers

Age= 4855 years

Area= 5542 inches2

Circumference= 264 inches

500

Michael gets recruited to play keeper for the USA soccer team in the World Cup Finals. Messi tries to score and kicks the ball at an angle of 15with an initial velocity of 102ft/s & at an initial height of 1ft. How long does Michael have to react before the ball reaches him? Round to the nearest hundredth (Assuming the ball is on the ground when it reaches him)


t≈0.593 seconds (okay within .02)

500

Name 1 co-creater of Calculus. 

Isaac Newton or Gottfried Leibniz