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EleoNora [17]
3 years ago
13

Express the following vector in the form v=v1i+v2j+v3k. 3u - v if u=(4,7,-3) and v=(2,-7,5).3u - v = ____ i + ____ j + _____ k.(

Simplify your answers.)
Mathematics
1 answer:
Alecsey [184]3 years ago
3 0

Answer:

<h2><em>5i+14j-7k</em></h2>

Step-by-step explanation:

Given the vectors u = (4,7,-3) and v=(2,-7,5), both vectors are 3-dimensional in nature and can also be rewritten as;

u = 4i+7j-3k and v = 2i-7j+5k

To get 3u-v, we will substitute the given vectors into the expression;

3u-v = 3(4i+7j-3k) -  (2i-7j+5k)

open the parenthesis

3u-v = 12i+21j-9k - 2i + 7j - 5k

collect like terms

3u-v = (12i - 2i) + (21j + 7j) (-9k-5k)

3u - v = 10i+28j-14k

To simplify the answer, we will divide through by 2

3u - v = 10i/2+28j/2-14k/2

<em>3u - v = 5i+14j-7k</em>

<em>Hence the simplified form of the expression is 5i+14j-7k</em>

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Answer:

Answer is b or 10.

Step-by-step explanation:

The reason for this is that you will just plug in all the answers in x and the answer has to match 15.

So...

2(10) - 5 = 15

15 = 15

This is true so the answer is 10.

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B

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oint) Solve the following inequality. Enter the answer in interval notation. 10x - 5 &lt; -10(8x - 2)+3 Answer: Note: If the ans
nevsk [136]
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I need help with this!
Viefleur [7K]

Answer:

the answer is option E.

Step-by-step explanation:

it is in the form f/g (x).

we know f and g from the equation;

we can rewrite it as, (√(9-x^2)/(3x-1))

if you notice you cannot put any number less than -3 or greater than 3 in the numeror because if you do you get a negative root which is false. for instance if you put 4 or -4 in the numerator you get 9 - (4 or -4 square ) which is 9- 16 which is a negative number and you cannot take root of a negative number.

on the numerator if you put 1/3 as the value for x you will get zero in the denominator. and any number divided by zero is undefined so that cannot be.

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4 0
3 years ago
1 2/3 X 3/4 what is the awnser with work shown
alex41 [277]
First you would have to turn the mixed number into a improper fraction. to do that you would have to multiply the denominator by the 1 (which is the whole number) to get 3*1=3 then you would have to add the numerator to get 3+2=5. now you have an improper fraction which is now 5/3. you always keep the denominator the same. next you have to multiply the two fractions you now have. which is 5 over 3 and 3 over 4 . all you have to do is multiply across to get 5*3=15 on the top and 3*4=12 on the bottom. so your new fraction you have is 15/12. that's an improper fraction so you would have to divide 12 by 15. you know 12 goes into 15 one time with a remainder of 3. so now you have 1 3/12 as your answer. but your not done yet. now you have to simplify your answer by dividing the numerator and denominator by 3 to get 3/3=1 and 12/3=4, you final answer should be 1 1/4 .
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