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3 years ago

G(x)=(x+4)^2 +1 “find the inverse rule for the function below”

Mathematics

1 answer:

Galina-37 [17]3 years ago

6 0

Answer:

√x-4+2-1=x=g-¹=(x)

Step-by-step explanation:

g(x)=(x+4)^2+1

x=(x+4)^2+1

y=(x+4)^2+1

=x:x-4+2-1=x

√x-4+2-1=x=g-¹=(x)

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In 2013, the population of China was estimated to be 1,360,760,100. Round off the number of people

Aleksandr [31]

Answer:

a) 1,360,760,000

b) 1,361,000,000

c) 1,400,000,000

d) 1,360,800,000

Step-by-step explanation:

We have to round off the given population number to certain digits.

The following are the rules to round of a number:

First identify the digit to be rounded.
If this digit is followed by 5,6,7,8,9 then we round up the number that is increase the digit by 1 and all the numbers to right becomes zero.
If this digit is followed by 0,1,2,3,4 then we round down the number that is decrease the digit by 1 and all the numbers to right becomes zero.

a) to the nearest thousand.

Thousands place: 0

Right Digit: 1

We round down the number

Rounded to the nearest 1,000 or t he thousands Place = 1,360,760,000

b) to the nearest million

Millions place: 0

Right Digit: 7

We round up the number

Rounded to the nearest million places = 1,361,000,000

c) to nearest hundred million

Hundred million place: 3

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,400,000,000

d) to the nearest hundred thousand.

hundred thousand place: 7

Right Digit: 6

We round up the number

Rounded to the nearest million places = 1,360,800,000

7 0

3 years ago

Read 2 more answers

From experience, it is known that on average 10% of welds performed by a particular welder are defective. if this welder is requ

bulgar [2K]

Binomial distribution can be used because the situation satisfies all the following conditions:1. Number of trials is known and remains constant (n)2. Each trial is Bernoulli (i.e. exactly two possible outcomes) (success/failure)3. Probability is known and remains constant throughout the trials (p)4. All trials are random and independent of the othersThe number of successes, x, is then given by $P(x)=C(n,x)p^x(1-p)^{n-x}$ where $C(n,x)=\frac{n!}{x!(n-x)!}$
Here we're given
p=0.10 [ success = defective ]
n=3

(a) x=0
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,0)0.1^0(1-0.1)^{3-0}$
$=1(1)(0.729)$
$=0.729$

(b) x=2
$P(x)=C(n,x)p^x(1-p)^{n-x}$
$=C(3,2)0.1^2(1-0.1)^{3-2}$
$=3(0.01)(0.9)$
$=0.027$

(c) x ≥ 2
$P(x)=\sum_{x=2}^3C(n,x)p^x(1-p)^{n-x}$
$=P(2)+P(3)$
$=C(n,2)p^2(1-p)^{n-2}+C(n,3)p^3(1-p)^{n-3}$
$=C(3,2)0.1^2(1-0.1)^{3-2}+C(3,3)0.1^3(1-0.1)^{3-3}$
$=3(0.01)(0.9)+1(0.001)1$
$=0.027+0.001$
$=0.028$

8 0

3 years ago

A case of water costs $3.80. If Safeway marks up the price 10%, what is the new price of the

anyanavicka [17]

Answer:

$4.18

Step-by-step explanation:

You take $3.80 and multiply by it .1 (turn 10% into a decimal by moving the decimal to the right two places).

This gives you .38

Then you add .38 to $3.80 which gives you $4.18.

5 0

3 years ago

1 question 60 points need help now

kkurt [141]

Answer:

The answer to your question is x = 0 and x = 1

Step-by-step explanation:

Equation

$\frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1$

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

Expand

2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3) 2x² -2x + 2 = -1(x² + x - 2x - 2)

4) 2x² - 2x + 2 = -x² + x + 2

Equal to zero

5) 2x² - 2x + 2 + x² - x - 2 = 0

6) 3x² - 3x = 0

Factor

7) 3x(x - 1) = 0

8) 3x₁ = 0 x₂ - 1 = 0

9) x₁ = 0/3 x₂ = 1

10) x₁ = 0 x₂ = 1

4 0

4 years ago

Mia is babysitting and has $40 to give to the 5 kiddos for snacks at the movie theater. How much money will each of the children

Tcecarenko [31]

Answer:

Each child would get $8.00.

Step-by-step explanation:

An equation to represent this would be:

40/5

When you divide 40 by 5, you get 8 which results in the children each getting $8.00

6 0

3 years ago

Read 2 more answers