Can someone please tell me if the following relations are functions please?

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Part (a)

The resultant vector is the vector formed by adding the two vectors a and b. So we effectively add the corresponding components.

You can use the parallelogram law as a visual alternative.

Adding a and b leads to

a+b = (3i-2j) + (pi-2pj)

a+b = (3i+pi) + (-2j-2pj)

a+b = (3+p)i - (2+2p)j

Define vector d to be d = a+b so we can use it later below.

Recall that parallel vectors point in the same direction. This means the ratio of their components or coordinates are equal.

We can say the following

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

(3+p)/(2) = (-(2+2p))/(-3)

Let's solve for p

(3+p)/(2) = (-(2+2p))/(-3)

(3+p)/(2) = (2+2p)/3

3(3+p) = 2(2+2p) .... cross multiply

9+3p = 4+4p

4p+4 = 3p+9

4p-3p = 9-4

p = 5

========================================================

Part (b)

Since p = 5, from part (a), we can determine vector b

b = pi - 2pj

b = 5i - 2*5j

b = 5i - 10j

Then add vectors a and b to get

a+b = (3i-2j) + (5i - 10j)

a+b = (3i+5i) + (-2j - 10j)

a+b = (3+5)i - (2+10)j

a+b = 8i - 12j

Or we can say

a+b = (3+p)i - (2+2p)j  .... from part (a)

a+b = (3+5)i - (2+2*5)j ... plugging in p = 5

a+b = 8i - 12j

Note the ratio of the components of vector d and vector c are such

(x coord of d)/(x coord of c) = (y coord of d)/(y coord of c)

8/2 = -12/(-3)

4 = 4

This helps confirm the answer

You could also graph the vectors c = 2i - 3j and d = 8i - 12j to note the two lines produce the same slope -3/2. We can see that -12/8 = -3/2. Lines of the same slope are parallel lines

a.

The value of p is 5

Since vector a = 3i - 2j and vector b = pi - 2pj, the resultant of vectors a and b is R = a + b

= 3i - 2j + pi - 2pj

= (3 + p)i - 2(1 + p)j

Since R is aparallel to vector c = 2i - 3j, it implies that the cross product of R and c is zero.

The cross product of two vectors a and b is a × b = absinФ where a and b are the magnitudes of a and b and Ф is the angle between them.

So, R × c = [(3 + p)i - 2(1 + p)j] × [2i - 3j]

= (3 + p)i × 2i + (3 + p)i × (-3j) + (-2(1 + p)]j × 2i + (-2(1 + p)]j×(-3j)

= 0 - 3(3 + p)k - 4(1 + p)(-k) + 0

= -3(3 + p)k + 4(1 + p)k

= [-3(3 + p) + 4(1 + p)]k

= [-9 - 3p + 4 + 4p)]k

= [-9 + 4 - 3p + 4p)]k

=  [-5 + p]k

[-5 + p]k = RcsinФ.

Since R and c are parallel, Ф = 0°

So, Rcsin0° = Rc × 0 = 0

So,   [-5 + p]k = 0

-5 + p = 0

p = 5

The value of p is 5

b.

The resultant of vectors a and b is R = 8i - 12j

Since p = 5 and the resultant of vectors a and b is R = (3 + p)i - 2(1 + p)j

Substituting the value of p = 5 into r, we have

R = (3 + p)i - 2(1 + p)j

R = (3 + 5)i - 2(1 + 5)j

R = 8i - 2(6)j

R = 8i - 12j

So, the resultant of vectors a and b is R = 8i - 12j

Learn more about resultant of vectors here:

https://brainly.com/question/14358602

Answer:

sorry i cant answer without the picture it wont make sense.

Answer:

A, D

Step-by-step explanation:

edge 2021

Answer:

He has a total of 32 cones

Step-by-step explanation:

Answer:

$46.10

Step-by-step explanation:

Answer:

Step-by-step explanation:c

Answer:

(5,6)

Step-by-step explanation:

so first yall

u find the difference between 4 and -1 which is 5 so u go 5 spaces right so it would be 5

then u find the difference between -3 and -9 which is 6 so ud go 6 spaces down so the difference between emmmm is

(5,6)

Answer:

33

Step-by-step explanation:

Answer:

it is 33 because you start off at 0 with 33

Step-by-step explanation:

Answer:

D. y=(×-2)^3(×-3)^3

Step-by-step explanation:

the x and y axis interception

Answer:

y = -3/4x + 3

Step-by-step explanation:

6 = -3/4(-4) + b

3 = b

I'd go back through the lesson and take notes of steps in the last pages they give the review of the lesson, help full and a time saver. other than that I would try to write down all definitions and words listed in the module, but if you want to have a complete list of every thing go to the home page and get the guided notes, you can fill them out when looking back at the lesson.

if you have a short time to gather notes just go through and right down what you can, you can always keep the glossary open when doing a DBA. hope anyone who see's this does well :)

sorry I couldn't help much i was unaware of the course you are taking

Answer:

B. |-6| < |-8|

Step-by-step explanation:

The absolute value will always make the number positive. B is the only option in which (once absolute value is used) will make a true statement.

|-6| < |-8| = 6 < 8

( 6 is less than 8 )

Answer:

92 km/h

Step-by-step explanation:

Answer:

12yd = 36ft

Why: For every 1 yard you have 3 feet

2 yards=6 3=9 and so on

Step-by-step explanation:

12 yards = 36 feet

if this answer is correct:

give a like and rate me 5

Answer: c

Step-by-step explanation:

A. 52.50

B. 54.40

C. 51.00

D. 52.00

Answer:

no they don't form a proportion

Step-by-step explanation:

16:18/2:2 = 8:9

8:9 and 1:2 are unequal

Step-by-step explanation:

7.90.

Answer:

8 spaces away

Step-by-step explanation:

hope this helped :-)

Answer:

1:8

Step-by-step explanation:

You subtract 19 and 8, and you get 11 then you put them in ration form

Step-by-step explanation:

Explanation:

Let's assume these are the different prices of one (1) gallon of paint for three different brand name and choice of colors:

1. Delux brand: Red = $19 per gallon

2. Golden sun: White = $15 per gallon

3. Luxury: Green = $20 per gallon.

Based on the data above, Mang Jose's budget could be drafted:

1. if he chooses the Delux brand/color red, then he will need approximately 11 gallons of the paint (2700/250 square fit) = 10.8, which would cost = $209 (11*$19).

2. if he chooses the Golden sun brand/color white then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $165 (11*$15).

3. if he chooses the Luxury brand/color green then he will need approximately 11 gallons of paint  (2700/250 square fit) = 10.8, which would cost = $220 (11*$20).

Answer:

6. a) 7/3

7. b) Y=20/3(x)

Answer:

The answer is B) $1,213

Step-by-step explanation:

Just subtract $3578 and $2365 to get the amount of refund due, which would be your answer of $1,213.

Answer:

Equivalent ratios:

3 : 10   6 : 20   9 : 30   12 : 40   15 : 50   18 : 60   21 : 70   24 : 80   27 : 90   30 : 100   33 : 110   36 : 120   39 : 130   42 : 140   45 : 150   48 : 160   51 : 170   54 : 180   57 : 190   60 : 200   63 : 210   66 : 220   69 : 230   72 : 240   75 : 250   78 : 260   81 : 270   84 : 280   87 : 290   90 : 300

( Brainlyst will help my rank <3 )

Answer:

18.92

Step-by-step explanation:

Im preatty sure this is right

Answer:

18.92

I multiplied 0.22 and 86

Answer:

Lin needs 3 cups of flour and 6 cups of sugar. Noah needs 6 cups of sugar and 4 cups of flour.

Step-by-step explanation:

I want you to figure out how to do.

Answer:

729

Step-by-step explanation:

hope it helps

Answer: 27/2 = 13 1 2\

also 729

Answer:

1/2 of the 1/3 jar of paint is used for each project

Step-by-step explanation:

Answer:

172645 pounds all together

Step-by-step explanation:

Answer:

Maxie eats: 112420 p and Gracie 60225p 308 × 365 ; 165 × 365

Step-by-step explanation:

yw luv ;(