Solve the equation without using a calculator

[tex]\bf\\x^{x^2-2x+1}=2x+1[/tex]

Answer:

f⁻¹(x)= 9x + 18

Step-by-step explanation:

1. Replace f(x) with x, and x with y:  x=1/9y-2

2. Solve for y:

   x=1/9y-2

   9x=y-18

   9x+18=y

3. Replace y in step 2 with f⁻¹(x)

[tex]i = \sqrt{-1}[/tex]

We're given:

[tex]ab^2[/tex]

⇒ Plug in the values for a and b:

[tex]=(3)(-2i)^2[/tex]

⇒ Rewrite i as [tex]\sqrt{-1}[/tex]:

[tex]=(3)(-2\sqrt{-1})^2[/tex]

⇒ Simplify:

[tex]=(3)(-2)^2(\sqrt{-1})^2\\=(3)(4)(-1)\\=-12[/tex]

-12

Answer:

8

Step-by-step explanation:

Because we multiply 4 by both sides

2 times 4 is 8 for girls

4 times 3 is 12 for boys

So it asked for girls and 4 times 2 is 8

So the answer is 8

8 women are in the class.

Answer: x = 17

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

the answer is c.

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Answer:

A. 1:7

Step-by-step explanation:

Just took the test

Answer:

this is the answer hope it's right 1,356

The number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that, the total number of couches and beds will be 11 and 10.

We have to find a number of ways for the 5 couches and 7 beds are chosen from a shipment.

The different methods are there to select 5 couches and 7 beds from a shipment of 11 couches and 10 beds obtained as,

=11C₅× 10C₇

=462×120

=55440

Thus, the number of ways can 6 couches and 5 beds are chosen from a shipment of 11 couches and 12 beds will be 55440

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Answer:

n = 26/45

Step-by-step explanation:

If the 9⅓ and 27⅘ are supposed to be [tex]9^{1/3}[/tex]  and [tex]27^{4/5}[/tex], then

[tex]9^{1/3}[/tex] × [tex]27^{n}[/tex] = [tex]27^{4/5}[/tex]

=> [tex](3^{2})^{1/3}[/tex] × [tex](3^3)^{n}[/tex] = [tex](3^3)^{4/5}[/tex]

=> [tex]3^{2/3}[/tex] × [tex]3^{3n}[/tex] = [tex]3^{12/5}[/tex]

=> [tex]3^{3n+\frac{2}{3}}[/tex] = [tex]3^{12/5}[/tex]

=> 3n+2/3 = 12/5

=> 45n + 10 = 36

=> 45n = 26

=> n = 26/45

Answer:

ANSWER

Step-by-step explanation:

1 kilometer = 1000 meters.

4 kilometer times 1000 meters = 4000 meters

Answer: 4000 meters

Step-by-step explanation:

4 x 1000 = 4000

Answer:

1.5 × 10^14 m²

Step-by-step explanation:

71% of the surface is covered with water.

The total surface of the Earth is 100% of the surface.

100% - 71% = 29%

29% of the surface is not covered with water.

29% of 5.1 × 10^14 m² =

= 0.29 × 5.1 × 10^14 m²

= 1.479 × 10^14 m²

= 1.5 × 10^14 m²

The linear function that shows the proportional relationship between the distance and time is d = 100t

A linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2.

A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. Here,

From the table given, we can find the slope of the function by using the formula

m = y₂ - y₁ / x₂ - x₁

m = 300 - 200 / 3 - 2

m = 100

To find the y - intercept,

y = mx + c

300 = 100(3) + c

300 = 300 + c

c = 300 - 300

c = 0

The equation that shows the relationship is

d = 100t

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Answer:

[tex]\huge\boxed{\sf D=1.4 \ units}[/tex]

Step-by-step explanation:

Put the above points in the formula.

[tex]D=\sqrt{(-6-(-7))^2+(3-2)^2} \\\\D=\sqrt{(-6+7)^2+1^2} \\\\D=\sqrt{1^2+1} \\\\D=\sqrt{1+1} \\\\D=\sqrt{2} \\\\D=1.4 \ units\\\\\rule[225]{225}{2}[/tex]

The value of the car zero km is given by the expression x = 60000.

LET ME EXPLAIN SOMETHING:

An algebraic expression is one that has several operations between numbers and letters (unknowns): addition, multiplication, subtraction, division, potentiation, rooting, etc.

LET'S GO TO THE SOLUTION:

Let x be the initial value of the car, we know that it depreciates 10% when leaving the agency and another 5% after one year. If the value of this car is $51,300.00 after 1 year, we will have to:

When you leave the agency, your value decreases by 10%:

After a year, its value decreases by 5%:

0.855x = 51300

x = 60000

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Answer: The answer is -9

Order of operations/PEMDAS:

Parenthesis, Exponents, Multiplication,

Division, Addition, Subtraction

Here is why:

using the order of operations,

do 4/-2 First

4/-2 = -2

Then do -7 + (-2)

-7 + (-2) = -2

When adding a negative plus a negative, it stays negative,

so the expression -7 +(-2) is like 7+2, it will equal 9, but because it is a negative plus a negative, the answer is negative.

Answer:

14 ;)

Step-by-step explanation:

 (9(3))^(2/3) + (2(4))^(2/3) + (-1)^(2/3) 

8 + 4 + 1 = 14 

The answer to this math problem is 14.

Pls vote brainliest

For the given quadratic equation we have:

a) F(-2) = 5

b) F(3) = 40

c) the solutions are:

t = -1

t = -1/3

Here we have the following quadratic function:

F(t) = 3t^2 + 4t + 1

a) First, we want to determine the value of F(-2), to do so, we just need to replace the values of the variable, t, by the number -2, we will get:

F(-2) =3*(-2)^2 + 4*(-2) + 1

F(-2) = 3*4 - 8 + 1 = 5

F(-2) = 5

b) Now we want to find the value of the F(3), so this time we evaluate in x = 3.

F(3) =3*3^2 + 4*3 + 1

F(3) = 27 + 12 + 1 = 40

F(3) = 40

c) Last, we want to solve:

F(t) = 0

So we need to solve the quadratic equation:

3t^2 + 4t + 1 = 0

Using the quadratic formula we will get the two solutions:

[tex]t = \frac{-4 \pm \sqrt{4^2 - 4*3*1} }{2*3} \\\\t = \frac{-4 \pm 2}{6}[/tex]

Then the two solutions are:

t = (-4 + 2)/6 = -2/6 = -1/3

t = (-4 - 2)/6 = -1

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Answer:

x = 3y-6

x = -y

x = -y

x=y-4

x = y/3 - 1/3

x = 2y

Step-by-step explanation:

The domain of the equation is 10 days and the range is the $14 left in the account.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are present. The variables in the above equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

a) The independent variable in this problem is the number of days, represented as x. The amount of money left, the y variable is the dependent variable since it depends on the number of days left (x).

b) If there are 10 days left, we can plug it into the given equation to find the balance in the account.

y = -3x + 44                    

y = -3(10) + 44                

y = -30 + 44                    

y = 14                              

Hence, the domain of the equation is 10 days and the range is the $14 left in the account.

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Answer:

0.25x+1.75

Step-by-step explanation:

A linear equation is of the form ax+b. Set a up a system of equation with -3 and 13 substituted in to ax+b. We get -3a+b=1 and 13a+b=5. Solving tis gives us a,b=(0.25,1.75)

Answer:

f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

a linear function has the form

f(x) = ax + b ( a and b have to be found )

given f(- 3) = 1 and f(13) = 5 , then by substitution

- 3a + b = 1 → (1)

13a + b = 5 → (2)

subtract (2) from (1) term by term to eliminate b

- 3a - 13a = 1 - 5

- 16a = - 4 ( divide both sides by - 16 )

a = [tex]\frac{-4}{-16}[/tex] = [tex]\frac{1}{4}[/tex]

substitute a = [tex]\frac{1}{4}[/tex] into (1) and solve for b

- 3( [tex]\frac{1}{4}[/tex] ) + b = 1

- [tex]\frac{3}{4}[/tex] + b = 1 ( add [tex]\frac{3}{4}[/tex] to both sides )

b = 1 [tex]\frac{3}{4}[/tex] = [tex]\frac{7}{4}[/tex]

f(x) = [tex]\frac{1}{4}[/tex] x + [tex]\frac{7}{4}[/tex] ← is the linear function

or

f(x) = 0.25x + 1.75

The given statement would be "false".

A quick ratio compares the company's most liquid assets to a short-term commitment. The quick ratio is computed by adding the cash and equivalents of the firm to its short-term investments and account receivable. Divide the figure by the firm's existing liabilities.

As per the question, there is no reason to believe that if a company sold any goods on credit rather than cash, its current or quick ratio would change that would be false.

Thus, the given statement would be "false".

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The question seems to be incomplete the correct question would be:

Find the statement true or false.

If a firm sold some inventory on credit as opposed to cash, there is no reason to think that either its current or quick ratio would change. (T/F)

Answer: 18

Step-by-step explanation:

[tex]\triangle HJK \cong \triangle HLK[/tex] by HL. Therefore, [tex]JK=2[/tex] by CPCTC.

Using the segment addition postulate, [tex]GK=9[/tex].

Furthermore, [tex]\triangle HGK \cong \triangle HMK[/tex] by HL. This means that [tex]MK=9[/tex] by CPCTC.

Using the segment addition postulate again, [tex]GM=9+9=18[/tex].

The rooster form of the given set is {3, 4, 5, 6, 7, 8}

The contents of a set can be described by listing the elements of the set, separated by commas, inside a set of curly brackets. This way of describing a set is called roster form.

Given a set, {I ∈ ≤3<9}

Converting in rooster form, {3, 4, 5, 6, 7, 8}

Hence, The rooster form of the given set is {3, 4, 5, 6, 7, 8}

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[tex]\textit{area of a rectangle}\\\\ A=Lw ~~ \begin{cases} L=length\\ w=width\\[-0.5em] \hrulefill\\ A=12\sqrt{30}\\ w=3\sqrt{5} \end{cases}\implies 12\sqrt{30}=L3\sqrt{5}\implies \cfrac{12\sqrt{30}}{3\sqrt{5}}=L \\\\\\ 4\cdot \cfrac{\sqrt{30}}{\sqrt{5}}=L\implies 4\cdot \sqrt{\cfrac{30}{5}}=L\implies 4\sqrt{6}=L[/tex]

Applying the properties of a parallelogram:

1. Length of AC = 24.8 units

2. x = 1

Some properties of parallelogram we need to recall in  order to solve the problem given are:

1. q = 1x + 10

AC = 7x + 8

Therefore:

q = 1/2(AC) [based on the property of a parallelogram]

Substitute

x + 10 = 1/2(7x + 8)

Solve for x

2(x + 10) = 7x + 8

2x + 20 = 7x + 8

2x - 7x = -20 + 8

-5x = -12

x = -12/-5

x = 2.4

Length of AC = 7x + 8 = 7(2.4) + 8

Length of AC = 24.8 units

2. x + 8 = 7x + 2 [based on the property of a parallelogram]

x - 7x = -8 + 2

-6x = -6

-6x/-6 = -6/-6

x = 1

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The total amount remaining after the deduction of $14.5 from $290.34 is $275.823.

When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.

Given:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances.

As we know that there will be a 5% of deduction of tax,

Calculate the amount after the tax deduction,

Amount  = 5 / 100 × $290.34

Amount = $14.5

The remaining amount after tax deduction = 290.34 - 14.5 = $275.823

Therefore, the total amount remaining after the deduction is $275.823.

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The complete question is:

Lisa Steamer is married, earns $290.34 weekly as a receptionist, and claims no allowances. Find the total amount after deduction.

Answer: 72

Step-by-step explanation: 3 x 3 x 8 = 72

3 x 3 = 9

9 x 8 = 72

Since Anthony is 30, the largest amount he can contribute and deduct from his Form W-2 for the traditional IRA for 2021 is $6,000.

The traditional IRA or individual retirement account is a pre-tax contribution an employee saves towards retirement.

With a traditional IRA, Anthony can contribute pre- or after-tax dollars, allowing his savings to grow tax-deferred while withdrawals are taxed as current income unless after the age of 59½.

An additional tax of 10% may apply if Anthony withdraws from his traditional IRA before reaching 59½ years.

However, one advantage of the traditional IRA is that the employee invests more funds upfront since the deduction is mostly made before tax.

Thus, I will advise Anthony to deduct a maximum of $6,000 from Form W-2 towards his traditional IRA to save more money in advance.

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Answer:

10.5 cm

Step-by-step explanation:

YZ corresponds to TU

YZ:TU = 9:3 = 3:1

XY corresponds to ST

ST = 3.5 cm

XY:ST = 3:1

XY/ST = 3/1

XY/3.5 cm = 3

XY = 10.5 cm

The new inequality which represent Ezra's situation is 15x + 10y > 1180

If

The inequality:

15x + 10y ≥ 1100

If Ezra decides to also spend more than $80 on a printer, that is, the amount spent on a printer is greater than $80

Adding an amount greater than $80 to the inequality,

It becomes 15x + 10y > 1180

Note the change in sign from greater than or equal to (≥) to greater than (>)

Therefore, the new inequality is given by 15x + 10y > 1180

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