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Paraphin [41]
3 years ago
7

Page 7:

Mathematics
1 answer:
borishaifa [10]3 years ago
8 0

Answer:

p, m, n.

Step-by-step explanation:

It is given that,

n=p(m)

Here, p is the name of the function and its variable is m which is independent.

Independent variable : Whose value does not depend on another variable.

Dependent variable : whose value depends on the another variable.

Since the value of n depends on the value of p(m) which is a function of m, therefore n is a dependent variable which depends on the variable m.

∴ If n = p(m), p is the function name, m is the independent variable,  and n is the dependent variable.

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Answer:

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Step-by-step explanation:

Given function,

g(x) = -\frac{2}{3}x-5

Step 1 : Replace g(x) by y:

y = -\frac{2}{3}x-5

Step 2 : Swap x and y:

x = -\frac{2}{3}y-5

Step 3 : Solve the equation for y ( isolate y in the left side ):

x +\frac{2}{3}y=-5

     \frac{2}{3}y=-5-x

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      y=-\frac{3}{2}x-\frac{15}{2}

Step 4: Replace y by g^{-1}(x):

g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}

Hence, the inverse of the function g(x) is g^{-1}(x)=-\frac{3}{2}x-\frac{15}{2}.

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3 years ago
A grocer wants to make a 10-pound mixture of peanuts and cashews that he can sell for $4.75 per pound. If peanuts cost $4.00 per
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2 years ago
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Answer:

I. Base area = 35 cm²

II. Volume of rectangular prism = 350 cm³

Step-by-step explanation:

Given the following data;

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Base area = length * breadth

Base area = 7 * 5

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Volume of rectangular prism = 7 * 5 * 10

Volume of rectangular prism = 350 cm³

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Capacity = volume in cm³ to litres

1 centimeter = 0.001 litres

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Answer:

Step-by-step explanation:

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