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icang [17]
3 years ago
13

Given that e= 2i – 5j + 9k and f= 8i + 15j + k, find 3f – 2e.

Mathematics
2 answers:
ipn [44]3 years ago
5 0

Plug in "8i + 15j + k" for "f", and "2i – 5j + 9k" for "e"

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 to (8i + 15j + k) & - 2 to (2i – 5j + 9k)

3(8i + 15j + k) = 24i + 45j + 3k

-2(2i - 5j + 9k) = -4i + 10j - 18k

-------------------------------------------------------------------------------------------------------------------

Simplify. Combine like terms

24i - 4i + 45j + 10j + 3k - 18k

(24i - 4i) + (45j + 10j) + (3k - 18k)

20i + 55j - 15k is your answer, or (C)

-------------------------------------------------------------------------------------------------------------------

hope this helps

dmitriy555 [2]3 years ago
3 0

3f – 2e

Plug in 2i – 5j + 9k for e and 8i + 15j + k for f

3(8i + 15j + k) - 2(2i – 5j + 9k)

Distribute 3 and 2 inside their respective parentheses

(24i + 45j + 3k) - (4i - 10j + 18k)

Now distribute -1 (negative sign) inside the parentheses on the right

(24i + 45j + 3k) - 4i + 10j - 18k

Combine like terms

20i + 55j - 15k is your answer (third choice down)

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3 0
3 years ago
For the graph, what is a reasonable constraint so that the function is at least 300?
blsea [12.9K]

Answer:

C) 0 ≤ x ≤ 25

Step-by-step explanation:

We are supposed to find a reasonable constraint so that the function is at least 300 i.e. the value of x at which f(x) is greater or equal to 300

A)x ≥ 0

Refer the graph

At x = 0

f(x)=300

On increasing the value of x , f(x) increases but at x = 12 it starts decreasing

So, x ≥ 0 can also have f(x)<300

So, Option A is wrong

B)−5 ≤ x ≤ 30

At x = -5

f(x) = 100

So, Option B is wrong since we require f(x) is greater or equal to 300

c)0 ≤ x ≤ 25

At x = 0

f(x)=300

At x = 12 , it starts decreasing

At x = 25

f(x)=300

So, The value of f(x) is at least 300 when 0 ≤ x ≤ 25

D)All real numbers

At x = 30

f(x)=0

But we require f(x) greater or equal to 300

Hence Option C is true

8 0
3 years ago
What is the sum of the first seven terms of the geometric series where a1 = 10 and r = −2?
matrenka [14]
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4 0
3 years ago
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KATRIN_1 [288]

Answer:

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4 0
3 years ago
Read 2 more answers
Which numbers should replace the question marks?
slava [35]

The first missing number in the sequence is 35, and the last missing number is 77.

<h3>Next number of the given sequence</h3>

The two missing numbers in the given sequence is calculated as follows;

= ?    49     63    ?

The given sequence is factor 7 which increases by 2

= 7 x 5      7 x 7       7 x 9     7 x 11

= 35         49          63          77

Thus, the first missing number in the sequence is 35, and the last missing number is 77.

Learn more about sequence here: brainly.com/question/6561461

#SPJ1

7 0
2 years ago
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