MATHEMATICS COLLEGE

Factor completely 2x2 − 32.Prime
2(x2 − 16)
2(x + 4)(x + 4)
2(x + 4)(x − 4)

Answers

Answer 1

Answer:

Answer:

2(x + 4)(x − 4)

Step-by-step explanation:

2x^2 − 32

Factor out 2.

2( x^2 -16)

The term inside the parentheses is the difference of squares.

(a^2 - b^2) = (a-b)(a+b)

2 ( x-4)(x+4)

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Help math math math

Give two examples of addition of two mixed numbers with different denominators
SHOW ALL STEPS

Answers

Answer:

First Example: 3 1/2 + 4 3/4, Second Example: 6 3/8 + 7 9/15

Extra Example: 8 4/20 + 3 5/10

Step-by-step explanation:

First Example:

1/2 + 3/4

1/2 is equal to 2/4 so it is now compatible to be added to 3/4.

2/4 + 3/4

= 5/4

Now for the mixed numbers since its 3 and 4, 3 + 4 = 7.

Final answer is 7 5/4.

Second Example:

3/8 + 9/15

9/15 can be reduced to 3/5

Now the equation is 3/8 + 3/5

= 15/40 + 24/40 is an equivalent equation

15/40 + 24/40

= 39/40

Now for the mixed numbers since its 6 and 7, 6 + 7 = 13

Final answer is 13 39/40.

I am going to include one last example just in case you need one:

Third Example:

4/20 + 5/10

We can reduce these to

1/5 + 1/2

= 2/10 + 5/10 is the equivalent equation

2/10 + 5/10

= 7/10

Now for the mixed numbers since its 8 and 3, 8 + 3 = 11.

Final answer is 11 7/10.

I Hope this helps!

16. The original price of a tie is $12.50. The new price of the tie is now$7.50. By what percentage was the tie marked down? *

Answers

The tie was marked down by 40%

Rewrite the following arguments using letters to represent the terms, reduce the number of terms and put the arguments in to standard form. Then test the new forms with Venn diagrams or by means of the five rules for syllogisms to determine the validity or invalidity of the original arguments.1. Some foreign emissaries are persons without diplomatic immunity, so some persons invulnerable to arrest and prosecution are foreign emissaries, because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.

Answers

Answer:

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

Step-by-step explanation: using the syllogism rules.

Premises 1 (P1) = Some foreign emissaries are persons without diplomatic immunity,

Premises 2 (P2) = so some persons invulnerable to arrest and prosecution are foreign emissaries

Conclusion (C) = because no persons with diplomatic immunity are persons vulnerable to arrest and prosecution.

From the argument:

P1 uses "some", that means it's not "all" foreign emissaries person that does not have diplomatic immunity. This means that some other foreign emissaries have diplomatic immunity

P2 uses "some", that means it's affirms to that part of P1 which states that some foreign emissaries have diplomatic immunity.

The conclusion is valid because the part of P2 which states that some foreign emissaries are vulnerable to arrest, which affirms with P1 which states that Some foreign emissaries are persons without diplomatic immunity. That means no persons with diplomatic immunity are persons vulnerable to arrest and prosecution. This conclusion literally means that if you don't have diplomatic immunity, you are vulnerable to arrest and prosecution.

Therefore;

P2 affirms P1 and the conclusion is in the same direction.

P1--->P2--->C

This argument is valid.

GEOMETRY QUESTION, URGENT!The volume V of a right circular cylinder is given by the formula V=πr²h, where r is the radius and h is the height.
A. Solve formula for h
B. Find the height of a right circular cylinder whose volume is 72π cubic inches and whose radius is 6 inches.

Answers

A.) $v/ \pi r=h$
B.) $h=2$

Renya plans to make a down payment plus monthlypayments in order to buy a motorcycle. At one dealer
she would pay $2,450 down and $175 each month. At another dealer, she would pay $3,050 down and
$150 each month. After how many months would the total amount paid be the same for both dealers?
What would that amount be?
After months Kenya will have paid $ for the bike at elther dealer. PLS HELP ASAP

Answers

Answer:

For the first, it would take 6 months to reach $3,500. For the second dealer, it would take 3 months to reach $3,500.

Explanation:

I hope this helps!

Find the discounted price:
$150 table; 40% discount