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3 years ago

How was the question 7+7+7 = 21 and 3×7 = 21 related ?

Mathematics

2 answers:

kifflom [539]3 years ago

5 0

7+7+7=21 is the same as saying 7 times 3+
=21

jarptica [38.1K]3 years ago

5 0

They both mean the same thing. multiplying 3 by 7 is the same as adding 7 three times.

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Let f={(-1, 4),(1, 9),(4, 0)} and g={(-1, -8),(2, -7),(4, 8),(5, -9)}. Find g/f and state its domain.

tekilochka [14]

Answer:

g/f = {(-1, 2)}

domain of g/f = {-1}

Step-by-step explanation:

Given,

f = {(-1, 4),(1, 9),(4, 0)},

g = {(-1, -8),(2, -7),(4, 8),(5, -9)}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

$\frac{g}{f}(x) = \frac{g(x)}{f(x)}$

Thus, domain of g/f = Domain of f ∩ Domain of g = {-1, 4}

If x = -1,

$\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2$

If x = 4,

$\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})$

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

4 0

3 years ago

Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and thre

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X = price of the ingredients

so based on the proportion , we can write that :
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Equation =
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46x = $23

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The pound of mix he can made :

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⟨1, 1, 1⟩ • ⟨4, 3, 1⟩ = ||⟨1, 1, 1⟩|| ||⟨4, 3, 1⟩|| cos(θ)

Solve for cos(θ) :

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Answer:

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Step-by-step explanation:

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