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3 years ago

Remove all perfect squares from the square root of 180

Mathematics

1 answer:

Jlenok [28]3 years ago

7 0

Answer:

It should be 6 square root of 5 or about 13.4 (decimal form)

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Supposed you are adding 43 and 28. will you regroup explain

NikAS [45]

You will regroup :) I hope that helped, btw the explanation is in the picture

3 0

3 years ago

Let f(x) = x² + x - 6 and g(x) = 3x - 6, what are f ⋅ g and f/g. state the resulting function and it's domain.

Lady bird [3.3K]

Answer:

$f \cdot \: g = 3 {x}^{3} - 3 {x}^{2} - 24x + 36$

Domain: All real numbers

$\frac{f}{g} = \frac{x + 3}{3}$

Domain: x≠2

Step-by-step explanation:

The given functions are

$f(x) = {x}^{2} + x - 6$

and

$g(x) = 3x - 6$

$f \cdot \: g = f(x) \cdot \: g(x)$

This implies that:

$f \cdot \: g = (3x - 6)( {x}^{2} + x - 6)$

We expand to get:

$f \cdot \: g = 3x ( {x}^{2} + x - 6) - 6( {x}^{2} + x - 6)$

We expand to get:

$f \cdot \: g = 3 {x}^{3} + 3 {x}^{2} - 18x - 6{x}^{2} - 6 x + 36$

We group like terms to get:

$f \cdot \: g = 3 {x}^{3} - 3 {x}^{2} - 24x + 36$

This is a polynomial function, the domain is all real.

Also;

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

$\frac{f}{g} = \frac{ {x}^{2} + x - 6 }{3x - 6}$

Factor to get:

$\frac{f}{g} = \frac{(x - 2)(x + 3)}{3(x - 2)}$

Cancel common factors:

$\frac{f}{g} = \frac{x + 3}{3}$

The domain is all real numbers, except numbers that will make the denominator zero.

$x \ne2$

4 0

4 years ago

Samantha is growing a garden in her back yard. She spend $90 setting up the garden bed and buying the proper garden supplies. In

KatRina [158]

Answer: A. $f(x)=0.99+0.25x$

B. x represents the number of plant seeds she bought.

C. f(x) represents the total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

D. If Samantha plants 55 seeds, the she spent total amount of $14.74.

Step-by-step explanation:

From the given question,

The total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

Since, she spend one time amount of $0.90 on setting the garden but the cost of seeds depend on the number of seeds she buy.

If f(x) that represents Samantha's total cost on her garden, then x represents the number of plant seeds she bought.

$f(x)=0.99+0.25x$ , which represents the total cost on her garden is the function of the amount she spent for setting up the garden and the total amount she spent to buy seeds.

When x=55, then $f(x)=0.99+0.25x=0.99+0.25(55)=14.74$