MATHEMATICS HIGH SCHOOL

Which of the following are the factors of 4b2 - 16?a. (2b + 4)(2b + 4)
b. (2b – 2)(2b + 4)
c. 4(b – 2)(b + 2)
d. 2(b – 4)(b + 4)

Answers

Answer 1
Answer: difference of 2 perfect squares
a^2-b^2=(a+b)(a-b)
(2b)^2-4^2=(2b-4)(2b+4)
(2b-4)=2(b-2)
(2b+4)=2(b+2)
2(b-2)2(b+2)
4(b-2)(b+2)

C is answer

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Janelle learns 4 new appetizer recipes during each week of culinary school. After9 weeks of culinary school, how many total appetizer recipes will Janelle know

Answers

Answer: 36 total appetizer recipes.

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The sum of a number b and 3 is greater than 8 and less then 12

Answers

The sum of a number b and 3 is greater than 8 and less than12=> b + 3 < 8
=> b + 3 > 12

Now,let’s combine this into an expression:
=> 8 < b+3 < 12
=>  (8 - 3) < b < (12 - 3)
=> 5 < b < 9
Thus, the answer in the given situation is 9 because 9 is greater than 8 butless than 12.

Waht is the elapsed time for 1:05 pm - 4:40 am

Answers

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Adam wants to buy a video game system that costs $100.00. He has $28.35 in one piggy bank and $31.90 in another piggy bank. How much more money does Adam need before he can buy the video game system? How can estimation be used to make sure the answer is reasonable?



A.
Answer: Adam needs $160.25 more.
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B.
Answer: Adam needs $39.75 more.
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Adam needs about $30 more to buy his video game system.

Answers

Since we want to know how much more he needs out of the total,  we must do subtraction.  Since the only subtraction one is C,  The answer is C. 

If a cylinder’s radius and height are each shrunk down to a third of the original size, what would be the formula to find the modified surface area?

Answers

We let

r1 = the original radius of the cylinder

r2 = the new radius of the cylinder

h1 = the original height of the cylinder

h2 = the new height of the cylinder

SA = surface are of the cylinder

 

the radius and the height are shrunk down to a third of their value therefore

 

r2 = r1/3

h2 = h1/3

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Simplifying

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5. A real estate company purchased a vast area of lakefront property. The company plans to divide the area intoseveral lots so that customers can purchase a lot and build a home. The length of each lot is represented by the
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Answers

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