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The value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2

From the question, we are to determine the value of f(g(x)) in the form a + bxⁿ

From the given information,

[tex]f(x) = \frac{x}{x+5}[/tex]

and

[tex]g(x) = x^{2} -5[/tex]

Then,

[tex]f(g(x)) = \frac{(x^{2} -5)}{(x^{2} -5) +5}[/tex]

∴ [tex]f(g(x)) = \frac{x^{2} -5}{x^{2} }[/tex]

Simplifying

[tex]f(g(x)) = \frac{x^{2} }{x^{2} } -\frac{5}{x^{2}}[/tex]

[tex]f(g(x)) = 1 -\frac{5}{x^{2}}[/tex]

[tex]f(g(x)) = 1 -5x^{-2}[/tex]

Hence, the value of f(g(x)) in the form a + bxⁿ is 1 -5x⁻². Where a = 1, b = -5 and n = -2.

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Answer:

B) - 6 + 3i

Step-by-step explanation:

   Complex number notation:

i² = -1

[tex]\sf \sqrt{-9}-6=\sqrt{3^2*i^2}-6[/tex]

               [tex]\sf = 3i - 6[/tex]

Answer:

D. reference a question in well-known literature and provide an answer.

Step-by-step explanation:

Answer:

-2 - 2i

Step-by-step explanation:

open the bracket

1 - 6i - 3 + 4i

1 - 3 + 4i - 6i

-2 - 2i

Answer:

-2 - 2i

Step-by-step explanation:

Add the real numbers (1 and (-3) ) and add the complex numbers [ 4i  and (-6i) ]

(1 - 6i) - ( 3 - 4i) = 1 - 6i - 3 + 4i

                        = 1 -3 - 6i + 4i

                        = -2 - 2i

The probability of getting head at least two times will be 11%

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

The probability will be:-

Sample outcomes are { H,H,H,T,T,T}

Favourable outcomes are { H }

So the probability of getting at least two times head will be:-

P   =  (  1  /  3  )  x  (  1  /  3  ) = 0.11  =  11%

Therefore the probability of getting head at least two times will be 11%

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Answer:

The other persons explaition was difficult

Step-by-step explanation:

Answer:

56 years old

Step-by-step explanation:

50 / ( 6 - 1 ) = 10 = Lily's age 4 years later

10 - 4 = 6 = Lily's age now

6 + 50 = 56

Step-by-step explanation:

Divide the two numbers.

5/2 / 1/4

Flip the 2nd fraction and multiply:

5/2 * 4/1

20/2

10

So the marathon runner travels at a unit rate of 10 MPH.

Answer:

1. The answer for the first one is 7/8

2. the 1/4 is larger

3. the 1/2 inch tadapole is larger (note: the smaller the number is in fraction, the larger it is. If the number is larger in the bottom, the number in terms of fraction is smaller.

4. 3 inchies(sorry mispelling)

Step-by-step explanation:

3/8(total)+4/8 = 7/8

brainly points pls

The economic order quantity of the product with the demand of 390 units is 1392.86 units.

This refers to an inventory management technique that helps make efficient inventory management decisions.

The formula for economic order quantity is [tex]\sqrt{2 * D * S / H}[/tex]

Given data

Demand = 390 units.

Unit price of product is ETB 25.

Ordering cost is ETB 40 per order

inventory carrying cost is estimated to be 35 percent per yer

EOQ = [tex]\sqrt{2*390*25/40*0.35}}[/tex]

EOQ = 19,500 / 14

EOQ = 1392.85714286

EOQ = 1392.86 units

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The time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

Given the distance and speed, the time taken to move between points is calculated using:

Time = Distance/Speed

The required graph is not given.

So, we assume that the distance between both points is:

Distance = 1800km

Using the assumed value above, we have:

When speed = 800km/hr

Time = 1800/800

Time = 2.25 hours

When speed = 250km/hr

Time = 1800/250

Time = 7.2 hours

When speed = 120km/hr

Time = 1800/120

Time = 15 hours

Hence, the time needed to travel between points A and B when the speed is 800 km/hour; 250 km/hour; 120 km/hour are 2.25 hours, 7.2 hours and 15 hours, respectively

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Answer:

yes.

Step-by-step explanation:

300>8/9

300>0.888888889

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

      Is 300 greater than 8/9?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

Yes, 300 is greater than [tex]\bold{\dfrac{8}{9}}[/tex].

Remember, proper fractions (fractions with a numerator less than the denominator) are less than 1.

When comparing an integer (like 300) with a fraction (like 8/9), first you need to work out whether or not the fraction is a proper fraction.

Then, you also need to pay attention to the signs, because they may seem trivial, but they are in fact highly significant.

Therefore,

300>8/9 (300 is definitely greater than a number less than 1, right?)

(and the ">" sign means "greater than"

       [tex]\rule{200}{2}[/tex]

Answer:

The Answer is: 0.744747

Step-by-step explanation:

cos 45 + sin 160

0.525322 + 0.219425

0.744747

hope this helps if it wasn't too late lol

Answer:

it’s SAA

Step-by-step explanation:

ur wlcm, i am sure of my answer

brainliest please?

The volume of the rectangular prism box with the given dimensions is: 36.25 cubic inches.

Volume of a rectangular prism = (length)(width)(height)

Dimensions of the given rectangular prism box:

Volume of the rectangular prism box = (3.625)(2.5)(4) = 36.25 cubic inches.

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Answer:  estimation=24

Step-by-step explanation:

2.4 is rounded down to 2

so she would do 2×12=24

Based on the responses, the significance level, and the p-value, we can conclude that the response proportions are not the same for the countries.

The null hypothesis is that the response proportions are the same. The alternate hypothesis is that the response proportions are not the same.

The sample size is large enough for a Chi-Square test to be used because the expected counts are all greater than 5.

Running a Chi-Square analysis shows that the P-value to be 0.000.

The P-Value is less than the significance level of 0.01 so the null hypothesis is rejected. This means that the alternate hypothesis of the response proportions not being the same is true.

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Answer:

the first equation or the one below it

Step-by-step explanation:

please mark me as brainliest

Answer:

42 ft ^ 2

Step-by-step explanation:

All we have to do is multiply 14 and 3. That gives us 42.

Answer:

3/4 sq ft

Step-by-step explanation:

1/4*3=3/4

im pretty sure u meant 1/4 not 14 bc it says "mixed number"

Answer:

138

Step-by-step explanation:

Do the inverse. 69 2/3 multiplied by 3 is 138.

Answer:

G, F, H

Step-by-step explanation:

Answer:

1536

Step-by-step explanation:

volume=baseareaxheight

. =32cmsquarex1.5cm

. =1536cm

If the answer is correct please vote



Answer:s=12

Step-by-step explanation:s divided by 24 equals 12

Answer:

The surface area is 19.32

Step-by-step explanation:

The solution in the image

The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the base side, (b) is the opposite side.

Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:

[tex]\tan\theta=\dfrac{y}{x}[/tex]

Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

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[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$80\\ r=rate\to 10\%\to \frac{10}{100}\dotfill &0.10\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &3 \end{cases} \\\\\\ A=80\left(1+\frac{0.10}{1}\right)^{1\cdot 3}\implies A=80(1.1)^3\implies A=106.48[/tex]

Answer:

0.4714, a simplified 47%

Step-by-step explanation:

:)

Step-by-step explanation:

really ? you need help here ... - that means you did not even look at it once ...

a = 2 - sqrt(5)/2 + sqrt(5)

b = 2 + sqrt(5)/2 - sqrt(5)

a + b = 2 + 2 = 4 (the rest add up to 0)

(a+b)³ = 4³ = 64

Answer:

64

Step-by-step explanation:

Given :

Evaluating (a + b)³ :

1. A reasonable price for my friend to sell the car is $13,480.

2. This price is determined as an average of the prices of similar cars.

An average is a typical value in a dataset.

An average is the mean of a set of numbers.

The average value can be computed by summing the set of numbers and dividing the result by the number of items.

Prices of similar cars:

A. 13,500

B. 12,900

C. 15,300

D. 13,700

E. 12,000

Sum = $67,400

Average = $ 13,480 ($67,400/5)

Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.

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Answer:

The correct option is B.

Step-by-step explanation:

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

here, we have,

we know that,

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

and, we have,

Also, the exponent x must be negative to be called an exponential decay function.

so, from the given graph we get,

Looking at the given options, only Option B meets the criteria for an exponential decay function.

The only given function that is an exponential decay function is;

B. Fx) = 3 • (1.4)^x

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