MATHEMATICS HIGH SCHOOL

A and b are vectors such thata= 2
(-3)
and
3a-2b= 8
(-17)
Find b as a column vector.

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

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Answer 2
Answer:

Final answer:

To find vector b, substitute the given value of a into the equation and solve for b. The vector b is (-23).

Explanation:

To find vector b, we need to solve the equation 3a - 2b = 8 (-17). Given that a = 2 (-3), we can substitute it into the equation:

3(2) - 2b = 8 (-17)
6 - 2b = 8 (-17)
-2b = 2 (-23)
b = (-2) / (-2/23)
b = -23

So, the column vector b is:
b =   (-23)

Learn more about Vectors here:

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what are the coordinates of R, the image p(2,3) under clockwise rotation 90 degrees about the origin?

Answers

Answer:

p' (3, - 2 )

Step-by-step explanation:

under a clockwise rotation of 90 about the origin

a point (x, y ) → (y, - x ) , then

p (2, 3 ) → p' (3, - 2 )

Someone you know is planning a wedding. They have still have decide on the place of the reception, the DJ, and the caterer. They have narrowed it down to 2 reception halls, 3 DJs, and 2 catering companies. How many arrangements are possible for this wedding?

Answers

So essentially, we have a choice of :

2 reception halls
3 DJs
2 catering companies.

In order to find the number of arrangements, you need to multiply those : 2*3*2=12- So they have 12 arrangements.

why?

Imagine those 3 Djs- they are three arrangements.
Now, they can play in one or the other hall -so in total it's 3 Djs in one hall and 3 in the other -that's 6.

And all of those 6 possibilities can be catered by one or the other company- making the possibilities twice as many, so it's 12 in total!

Solve for x.

3x - 5x + 8x + x = 42

A. 6
B. 7
C. 8

Answers

The answer would be "6" because you have to calculate the difference then calculate the sum, calculate the sum again, then divide both sides by 7 and that gives you 6.
Combine all alike x terms and you get 7x=42

Divide 7 on each side of equation

You get A.x=6


Hope I helpedd

HELP PLEASEEEE!!!!!!!

Answers

Answer:

The first one with the sequence 0.25,1,4,16

Answer:

the first one

Step-by-step explanation:

A patient receives 150 cc of medication in an IV drip over 4 hours. What is the rate per hour of this dose?

Answers

The average rate is 150 cc/4 hrs=37.5 cc per hour.
37.5 cc per hour you just have to divide 150cc/4 = 37.5 cc

In which of the following stores would you pay the least amount for an item that is priced $360? Store A: Sale of 10% off and a successive discount of 10% off. Store B: Sale of 15% with no additional discount. Store C: Sale of $35 off and a successive discount of 10% off.

Answers

Given:
Price : 360

Store A: Sale of 10% off and a successive discount of 10% off.
360 * (100-10)% = 360 * 90% = 324
324 * (100-10)% = 324 * 90% = 291.60

Store B: Sale of 15% with no additional discount
360 * (100-15)% = 360 * 85% = 306

Store C: Sale of $35 off and a successive discount of 10% off
360 - 35 = 325
325 * (100-10)% = 325 * 90% = 292.50

Store A has the least amount to pay for an item at price of 291.60

Answer:

option b

Step-by-step explanation:
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