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loris [4]
3 years ago
9

Given vectors p=2i-j q= -i+j find 1. p+q, 2. p-q, 3. 2p-3q

Mathematics
1 answer:
Romashka [77]3 years ago
8 0

Answer:

See below

Step-by-step explanation:

p=2i-j

q=-i+j

p+q=(2i-j)+(-i+j)=2i-j-i+j=i

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

2p-3q=2(2i-j)-3(-i+j)=4i-2j+3i-3j=7i-5j

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Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?
iren [92.7K]

For this case we have the following equations:

f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

(f_ {o} g) (x) = f (g (x))

So:

(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

x ^ 2-3x = 0\\x (x-3) = 0

So, the roots are:

x_ {1} = 0\\x_ {2} = 3

The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

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3 years ago
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Help ASAP!!!!<br> Which statement about the graph of the function y=(1/3)x are true?
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Answer:


Step-by-step explanation:

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2) True:  The function is decreasing (see #1, above)

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Answer:

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3 years ago
Claudia is making a gelatin dessert for a party. She plans on making 12 servings for every 5 people. If each pan Claudia uses to
just olya [345]

Answer:

3

Step-by-step explanation:

Key Word: 12 servings for every 5 people. if she makes it to hold 8 servings, what is enough plans she needs to feed 10 people?

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solving problem:

12 people over 5 people = x over 10 people

since 5 times 2 equals 10 then 12 times is 24.. so we need 24 servings

we know from reading the question that each pan makes 8 servings.

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