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gregori [183]
3 years ago
7

Let A=3i-j-4k,B=-2i+4j-3k and C=i+2j-k compute 2A-B+3C​

Mathematics
1 answer:
Paladinen [302]3 years ago
7 0

A = 3i - j - 4k

B = -2i + 4j - 3k

C = i + 2j - k

2A - B + 3C =

= 2(3i - j - 4k) - (-2i + 4j - 3k) + 3(i + 2j - k) =

= 6i - 2j - 8k + 2i - 4j + 3k + 3i + 6j - 3k =

= 6i + 2i + 3i - 2j - 4j + 6j - 8k + 3k - 3k =

= <u>1</u><u>1</u><u>i</u><u> </u><u>-</u><u> </u><u>8</u><u>k</u>

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The sum of two numbers is 30. the first number is 1/5 of the second number. what are the numbers?
bonufazy [111]
Same question
x+y=30
x is 1/5 of y
x=y/5
subsitute
y/5+y=30
multily both sidse by 5
y+5y=150
add
6y=150
divide both sides by 6
y=25
subsitute
x=y/5
x=25/5
x=5
the numbers are 5 and 25

6 0
3 years ago
Si elegimos un día de la semana al azar, ¿qué probabilidad hay de que sea fin de semana (ya sabemos que hay dos días…)?
irga5000 [103]

Answer:

La probabilidad que hay de que sea fin de semana es \frac{2}{7}

Step-by-step explanation:

La Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso. En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles. Entonces, la probabilidad de un suceso cualquiera A se define como el cociente entre el número de casos favorables (número de casos en los que puede ocurrir o no el suceso A) y el número total de casos posibles. Esta se denomina Ley de Laplace.

P(A)=\frac{numero de casos favorables}{numero de casos posibles}

En este caso:

  • número de casos favorables: 2 (cantidad de días del fin de semana)
  • número de casos posibles: 7 (cantidad de días totales en la semana)

Reemplazando:

P(A)= \frac{2}{7}

<u><em>La probabilidad que hay de que sea fin de semana es </em></u>\frac{2}{7}<u><em></em></u>

3 0
3 years ago
Please help anyone and explain please
umka2103 [35]

So if you distribute 4 in the first parentheses, you get 12x+20y+8z.

Then you distribute 3 in the second parentheses. You'll get 3x-3z. That all equals 12x+20y+8z+3x-3z.

Now you have to start combining numbers with the same variable. Start with x. 12x+3x is 15x.

y has no other common variable, it's left alone.

8z-3z is 5z

All together now with the numbers in simpler form, the equation is 15x+20y+5z

Jenna's would be the right answer because when you distribute 5 in her answer you get 15x+20y+5z

5 0
3 years ago
Read 2 more answers
3. If Jeff is walking 2 miles per hour (mph), how far can he travel in 1 hour?
Ipatiy [6.2K]
Jeff can travel 2 miles in one hour
4 0
3 years ago
What is the rate of change.
Finger [1]

Answer:

-1

Step-by-step explanation:

Over 12 on the x axis it goes down 12 on the y axis so the rate of change is -1

4 0
3 years ago
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