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ser-zykov [4K]
3 years ago
12

Please help with function notation question (see attached file)

Mathematics
1 answer:
adell [148]3 years ago
3 0

Answer:

3.5 and 5

Step-by-step explanation:

Given

f(x) = \frac{x+5}{x}

To evaluate f(2) substitute x = 2 into f(x)

f(2) = \frac{2+5}{2} = \frac{7}{2} = 3.5

Similarly for f^{-1}(x)

f^{-1} (2 ) = \frac{5}{2-1} = 5

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1. Solve: 6x - 12 &lt; 6<br> 2. Solve: 2(3x-8) &gt;8
8090 [49]

Answer:

Step-by-step explanation:

1. here you go mate

step 1

6x - 12 < 6  equation

step 2

6x - 12 < 6  simplify

6x-12+12<6+12

step 3

6x<18  Divide both sides

\frac{6x}{6}

answer

x<3

2. Here you go mate

step 1

2(3x-8) >8  equation

step 2

2(3x-8) >8  simplify

6x-16+16>8+16

step 3

6x>24  divide both sides

\frac{6x}{6} >\frac{24}{6}

answer

x>4

4 0
3 years ago
40 points for this question! Algebra 2. With all explanation, please!
const2013 [10]
You will need three roots for this, so we have
 Let x = -30, -10 and +20
So the factors will be  (x+30)(x+10)(x-20)
The divide it to 100, this will help bring the peak up and down
So the polynomial function R(x) will become
1/100 *  (x+30)(x+10)(x-20)
R(x) = 1/100 * (x+30)(x+10)(x-20)
 
Finding the X-intercept:
Let R(x) = 0 and solve for x.
1/100 * (x+30)(x+10)(x-20) = 0
x = -30, -10, 20 are the x-intercepts.

3 0
3 years ago
What is -(x - 8) simplified?
expeople1 [14]
You really can’t simply it but if u use disruptive property it would be -x - -8
5 0
2 years ago
The first three terms of a sequence are given. Round to the nearest thousandth (if
notka56 [123]

Answer:

Step-by-step explanation:

3,5,6,

a =3

d = 5-3 = 2

Tn= a+(n-1)d

T6= 3+(6-1)2 = 3 + (5)2 = 3 + 10 = 13

8 0
3 years ago
World poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year. Assume tha
dezoksy [38]

Answer:

A) P(t)=77.2\cdot e^{0.016t}

B) 89.157 million tons.

C) In year 2017.

Step-by-step explanation:

We have been given that world poultry production was 77.2 million tons in the year 2004 and increasing at a continuous rate of 1.6% per year.

A). We know that a continuous growth function is in form y=a\cdot e^{kx}, where,

a = Initial value,

k = Growth rate in decimal form.

1.6\%=\frac{1.6}{100}=0.016

Upon substituting our given values, we will get:

P(t)=77.2\cdot e^{0.016t}

Therefore, our required function would be P(t)=77.2\cdot e^{0.016t}, where, P represents world poultry production, in million tons, as a function of the number of years, t, since 2004.

B) To find the world poultry production in the year 2013, we will substitute t=2013-2004=9 in above formula as:

P(9)=77.2\cdot e^{0.016(9)}

P(9)=77.2\cdot e^{0.144}

P(9)=77.2\cdot 1.1548841085249135

P(9)=89.1570531781\approx 89.157

Therefore, the world poultry production in the year 2013 would be 89.157 million tons.

C) To find the number of years it will take for world poultry production to be over 95 million tons, we will equate our function with 95 as:

95=77.2\cdot e^{0.016t}

Divide both sides by 77.2:

1.2305699481865285=e^{0.016t}

Take natural log of both sides:

\text{ln}(1.2305699481865285)=\text{ln}(e^{0.016t})

\text{ln}(1.2305699481865285)=0.016t\text{ln}(e)

0.20747743456981035=0.016t*1

Divide both sides by 0.016:

t=12.9673396606

t\approx 13

Therefore, 13 years after in 2017 world poultry production goes over 95 million tons.

4 0
3 years ago
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