PLEASE HELP URGENT! .................................

If f(x) = x^4-x^3+x^2 and g(x)= -x^2, where x does not = 0, what is (f/g)(x)?

Korvikt [17]

For this case we have the following functions:

$f (x) = x ^ 4-x ^ 3 x ^ 2\\g (x) = - x ^ 2$

By definition of composition of functions we have to: $(f \ g) (x) = \frac {f (x)} {g (x)}$

So:

$\frac {f (x)} {g (x)} = \frac {x ^ 4-x ^ 3 x ^ 2} {- x ^ 2} = \frac {x ^ 4} {- x ^ 2} +\frac {-x ^ 3} {- x ^ 2}+ \frac {x ^ 2} {- x ^ 2} =$

By definition of division of powers of the same base we have to place the same base and subtract the exponents:

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

ANswer:

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

3 0

3 years ago

Fix the sentence by following the apostrophe rule.

Anika [276]

<span>Strong children's education is essential to the progress of any nation.
</span>

7 0

3 years ago

Read 2 more answers

the length of a rectangle exceeds its width by 17 inches, and the area is 18 square inches. what are the length and width of the

dimaraw [331]

The length and width of the rectangle are 18 in and 1 in, respectively.

<h3>Quadrilaterals</h3>

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram. Each type is defined accordingly to its length of sides and angles. For example, in a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle can be found for the formula : b*h, where b = base and h =height.

For this question, the length exceeds its width by 17 inches - L=W+17. Here, the length is the base and the width is the height. Thus, from the value of area given, you can find the values of the length and width of the rectangle.

A=b*h

18=(W+17)*W

18=W²+17W

W²+17W-18=0

Solving this quadratic equation, you have:

$w_{1,\:2}=\frac{-17\pm \sqrt{17^2-4\cdot \:1\cdot \left(-18\right)}}{2\cdot \:1}$

$w_{1,\:2}=\frac{-17\pm \:19}{2\cdot \:1}$

w1=1 and w2= -18

For dimensions, only positive numbers must be used. Then, the width is equal to 1 inch.

As, the area (l*w) is 18 in², see.

18=l*w

18=l*1

l=18 in

Read more about the area of rectangle here:

brainly.com/question/25292087

#SPJ1

5 0

2 years ago

What’s the answer for this question

Sergeu [11.5K]

Answer:

84 Square Inches.

Area = Side length x Side length

4 0

3 years ago

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Wooden boxes are commonly used for the packaging and transportation of mangoes. A convenience store regularly buys mangoes from

mihalych1998 [28]

Answer:

Step-by-step explanation:

Given that a convenience store regularly buys mangoes from a wholesale dealer. For every shipment, the manager randomly inspects five mangoes from a box containing 20 mangoes for damages due to transportation. Suppose the chosen box contains exactly 2 damaged mangoes.

In the selected box 18 good mangoes and 2 damaged mangoes are there

a) Find the probability that the first mango is not damaged.

= prob of selecting 1 from any one of 18 good mangoes = $\frac{18}{20} =0.90$

b. Find the probability that neither of the mangoes is damaged. =

Prob of selecting 2 from 18 good mangoes

= $\frac{18C2}{20C2} =0.5276$

c. Find the probability that both mangoes are damaged.

= Prob of selecting 2 from 2 bad mangoes

= $\frac{2C2}{20C2} =0.005263$

6 0

3 years ago