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Rzqust [24]
3 years ago
10

Find the vector, not with determinants, but by using properties of cross products. k × (i − 3j)

Mathematics
1 answer:
sergey [27]3 years ago
3 0
\mathbf k\times(\mathbf i-3\mathbf j)=(\mathbf k\times\mathbf i)-3(\mathbf k\times\mathbf j)
=\mathbf j-3(-\mathbf i)
=3\mathbf i+\mathbf j
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how many pounds of coffee worth $10 a pound should be added to 20 pounds of coffee worth $4 a pound to get a mixture worth $5 a
Solnce55 [7]

Answer:

4

Step-by-step explanation:

1. if the mass of coffee worth $10 is 'x', then its worth is 10x, and the worth of the mixture is 5(x+20);

2. using the previous item it is possible to write the next equation:

5(x+20)=4*20+10*x; ⇒ x=4.

3. the required mass is 4 pounds.

5 0
3 years ago
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Zina [86]

Answer:

Step-by-step explanation:

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7 0
2 years ago
Linear equation for (-5,3) and (-1,-1)
Alex787 [66]

Answer:

y = -x - 2

Step-by-step explanation:

y = mx + c

m = (-1-3)/(-1-(-5)) = -4/4 = -1

y = -x + c

(-1,-1)

-1 = -(-1) + c

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y = -x - 2

6 0
3 years ago
10% of the 150 students in sixth grade are on the student council. How many sixth graders are on the student council?
Vinil7 [7]

Answer:

The answer is 15.

Step-by-step explanation:

10% of 150 is 15. (you can take away the zero)

8 0
2 years ago
Read 2 more answers
In a rational function, is the horizontal shift represented by the vertical asymptote?
ziro4ka [17]
<h3>Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>

A bit of further explanation:

The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.

Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h

For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.

7 0
3 years ago
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