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3 years ago

Give a verbal description of the following absolute value function f(x) = 3 | x - 5 | + 4

Mathematics

1 answer:

lisov135 [29]3 years ago

7 0

Answer:

It is the distance of x from zero. Examples:The absolute value

of 5 is 5.

The absolute value of -10 is 10.

(Complex numbers) The absolute value of 4 + 3 is 5.

Step-by-step explanation:

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When placed end to end, three red rods are 2 cm longer than than 2 blue rods. Three blue rods are 2 cm longer than four red rods

Oxana [17]

Answer:

Red = 10 cm, blue = 14 cm

Step-by-step explanation:

Let the length of each red rod be r and each blue rod be b

Then we have:

3r - 2b = 2
3b - 4r = 2

Multiply the first equation by 3 and the second one by 2:

9r - 6b = 6
6b - 8r = 4

Add the equations to eliminate one of variables:

9r - 8r = 6 + 4
r = 10 cm

Find the value of b:

3*10 -2b = 2
30 - 2 = 2b
2b = 28
b = 14 cm

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Temka [501]

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Which of the following expressions is this one equivalent to?

schepotkina [342]

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

$\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}$

Factoring in the numerator:

$\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}$

Factoring again in the numerator with common factor $x^{3}+1$ :

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Simplifying:

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