Determine the range of the inverse of f(x) = 2x + 1

Answer:

6.4 units (nearest tenth)

Step-by-step explanation:

Distance between 2 points

[tex] = \sqrt{(y1 - y2)^{2} + (x1 - x2)^{2} } [/tex]

Distance between A and B

[tex] = \sqrt{[ - 1 - ( - 5)]^{2} + ( - 1 - 4)^{2} } [/tex]

[tex] = \sqrt{( - 1 + 5)^{2} + ( - 1 - 4) {}^{2} } [/tex]

[tex] = \sqrt{ {4}^{2} + ( - 5) {}^{2} } [/tex]

[tex] = \sqrt{41} [/tex]

= 6.4 units (nearest tenth)

Answer:

[tex]x^{\frac{21}{5}}[/tex]

Step-by-step explanation:

[tex]5^{th} \ root \ of \ x^7 = (x^ 7)^{\frac{1}{5}}[/tex]

[tex]Using \ the \ rule : \sqrt[n]{x} =x^{\frac{1}{n}} \\\\(x^a)^b = x^{ab}[/tex]

[tex](x^7)^{\frac{1}{5}} = x^{\frac{7}{5}}[/tex]

[tex]( x^{\frac{7}{5}})^3 = x^{\frac{21}{5}}[/tex]

Answer:

2

Step-by-step explanation:

-7(x^2-6)+2y

Let x = 2 and y = -6

-7( 2^2-6)+2(-6)

Exponents first

-7(4 -6)+2(-6)

Parentheses next

-7( -2)+2(-6)

Multiply

14 -12

Subtract

2

Answer:

D. 2

Step-by-step explanation:

-7(x^2 - 6) + 2y

x = 2

y = 6

Substitute the variables:

-7(2^2 - 6) + 2(-6)

2^2 = 4:

-7(4 - 6) + 2(-6)

4 - 6 = -2:

-7(-2) + 2(-6)

-7 * -2 = 14:

14 + 2(-6)

2 * -6 = -12:

14 +  (-12)

14 + (-12) = 14 - 12:

14 - 12

14 - 12 = 2:

2

26

Answer:

$5500

Step-by-step explanation:

3500 + 0.05 * 40,000 = 5500

His gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

It is given that man received a monthly salary of $3500 together with a commission of 5% on all sales over $5000 per month.

Let the x represents his gross salary in a month in which his sales amounted to $40,000.

Therefore,

x = 3500 + 0.05 (40,000)

x = 3500 + 2000

x = 5500

Hence,  his gross salary in a month in which his sales amounted to $40,000 would be; 5500 dollars.

Learn more about multiplications;

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Answer:

It will take 60 hrs

Hope this helped!

Answer:

It would take 60 hours for the rig to complete digging the -150 ft. hole.

Step-by-step explanation:

Hint: Using ratios will help solve questions like this one.

The first hole was dug -60 ft. below the surface for a whole day and night. A day lasts 12 hours and the same goes for a whole night. That's 24 hours in total. This will help answer Part A. A second hole was dug -150 ft. below the surface with the same rate as the first hole. Let's put this into a ratio.

-60 : 24

-150 : ?

Finding the scale factor in ratios will help solve for the missing value. We can divide -150 by -60 which results in 2.5. Multiply 2.5 by 24 and you will get 60 hours as your final answer. I hope you will find this helpful! :D

Answer:

easy that thing needs help

x = 8 × Cos( 72 )

x = 8 × Cos( 90 - 18 )

x = 8 × Sin( 18 )

x = 8 × 0.309

x = 2.472

x = 2.470

x = 2.500

x = 2.5

The answer would be number 4, y=3/4x-6.

This is because both of the equations share the same slope of 3/4x.

Answer:

[tex] 3^{-2}=\frac{1}{3²}=\frac{1}{9}[/tex]

Answer:

1/9

Step-by-step explanation:

cause it would the negative would got the 3 so it would be -3×-3 so it would be positive 9 with a 1 over it

Answer:

Tony's solution strategy

Step-by-step explanation:

Given the equation that Lucas and Tony trying to solve expressed as: x^2=16x+25

This can be written in standard form as x^2 - 16x - 25 = 0

This can then be factorized using the general formula

x = -b±√b²-4ac/2a where a, b and c are constants

From the given expression;

a = 1, b = -16, c = -15

Hence the best strategy that would have worked based on the explanation is Tony's

Answer: Neither

Step-by-step explanation: got it right on khan

Answer:

4

Step-by-step explanation:

When you fold it to make it a cube, the number opposite to 1 is 4

Answer:

m = -5

Step-by-step explanation:

1/5 m = -1

Multiply each side by 5

5*1/5 m = -1*5

m = -5

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]m = -5[/tex]  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'm':}}\\\\\frac{1}{5}m=-1\\---------\\\rightarrow (\frac{1}{5}m)5=-1(5)\\\\\rightarrow\boxed{m = -5}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

23

Step-by-step explanation:

234Suppose you have a bag with 50 letter tiles in it and 23 of the tiles are the letter Y. If

23

you pick a letter tile at random from the bag, the probability that it is the letter Y is Suppose

50

another bag has 200 letter tiles in it and 172 of the tiles are the letter Y. Write the probability of

picking a tile that is the letter Y as a fraction and as a percent. From which bag are you more likely

to pick a tile that is the letter Y?

The probability of picking the letter Y from bag of 50 letters is 23/50 or 0.46 or 46% and probability of picking the letter Y form bag of 200 letters is 172/200 or 0.86 or 86%. as the probability of getting the letter Y is more in second bag this it is better to pick the bag containing 200 letters.

The probability explains the chances of happening a event. The probability of an event is a number between 0 and 1, where, 0 indicates impossibility of the event to happen and 1 indicates certainty of the event to happen.

From the question it is said that a bag of 50 letter contain 23 Y letters. Thus the probability of the letter Y picking is 23/50 i.e, number of times the letter Y can come out if we pick the letters 50  times. So, it is certain that 23 Y letters can come out.

23/50= 0.46 or 46%

And if the bag contain 200 letters in which 172 are Y letters then the probability to pick Y is 172/200

172/100 =0.86 or 86%

As the chance to get Y letter is mor in bag containing 200 letters thus pick this bag.

thus the 1st bag probability is 46% and for 2nd bag is 86%. Hence choose 2nd bag

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Answer:

The 7 is in the tenths place

Step-by-step explanation:

869.74

hundreds  tens  ones.  tenths  hundredths

 8                6      9            7             4

The 7 is in the tenths place

Answer: The 7 is in the tenths place not the hundreds place.

Tenths Hundreds

  0.1          0.01

Hope this helps...

Have a great day.

Answer:

80/121

Step-by-step explanation:

For simplicity,

Probabilities of getting a red, a blue or a green in a single spin are, respectively, 4/11, 4/11 & 3/11.

Therefore, probabilities of getting 2 reds, 2 blues or 2 greens in 2 spins are, 16/121, 16/121 & 9/121 respectively.

Then, total probability of getting same colour both times would be 16/121 + 16/121 + 9/121 = 41/121.

Any other option would result in 2 different colours. Thus, the probability of getting two different colours in 2 spins = 1 - 41/121 = 80/121.

Answer:

Similar by SAS

Step-by-step explanation:

If you multiply the two given sides by 3/2 you will get the sides for the large triangle

3/2  * 10 = 30 / 2 = 15

3/2 * 24 = 72 / 2 = 36

Therefore they are similar by SAS postulate for similarity. Notice that the right angle is between the legs of the triangle. That is the main qualification that allows you to use SAS for similarity.

Find the other two angles of both the triangles, if they were similar then the triangles are similar

Answer:

i believe the answer is A

Step-by-step explanation:

hope this works

Answer:

1.60078105936

Step-by-step explanation:

Answer:

f (x) = x^2 - 5x - 6

Step-by-step explanation:

That may be the answer

Answer:

6 1/4

Step-by-step explanation:

1/2 = 2/4

2/4 + 3/4 = 5/4 which is 1 1/4 simplified.

Then add the whole numbers, 2 + 3 = 5

5 + 1 1/4 = 6 1/4

Tomas rides 6 1/4 miles everyday.

Answer:

5

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(0 - 4)² + (6 - 3)²

√(-4)² + (3)²

√(16) + (9)

√25

= 5

Step-by-step explanation:

Answer 1

⅒

Answer 2

13.3cm²

Answer 3

I cannot see any shaded area and sorry

Answer 4

Unlike

Answer 6

21/23

Answer 7

5/27

hope it helps

Answer:

Step-by-step explanation:

Answer:

A1. The answer is option (b) 1/10

A2. The answer is option (b) 13.4 cm²

A3. Shaded area not provided

A4. The answer is option (b) Unlike Fractions

A5. The answer is option (d) 20

A6. The answer is option (b) 21/23

A7. The answer is option (c) 5/27

Step-by-step explanation:

A1. We multiply the denominators (the numbers on the bottom) and the numerators (the numbers on top) to multiple fractions. As a result, for (1/2) x (1/5), we have

(1/2) × (1/5) = (1 × 1) / (2 × 5) = 1/10.

A2. Multiplying the length by the breadth yields the area of a rectangle. The dimensions in this instance are 6.7 cm in length and 2 cm in width. So, the area may be determined as follows:

Area = length × breadth = 6.7 cm × 2 cm = 13.4 cm².

Hence, the correct answer is (b) 13.4 cm².

A3. Please provide the shaded  area.

A4. Fractions that have different denominator are called unlike fractions.

So the answer is option (b)

A5.Let us suppose India played  'x'  number of matches

According to the Question, India won 3/5 of its matches, which implies that they won 3/5  * x matches.

It is also mentioned that India won 4 more matches than it lost against New Zealand. Therefore, the number of matches India won against New Zealand is 4 more than the number of matches it lost against New Zealand.

From this, we can set up the equation:

3/5 * x = (x/2) + 4

Multiplying both the sides by 10, we have

6x = 5x + 20

subtracting 5x from both sides:

6x - 5x = 5x - 5x + 20

x = 20

Hence, India played 20 matches.

A6. When the numerator is less than the denominator, the fraction is said to be proper fraction. Hence among the given options, 21/23 fits the best.

Hence option (b) is correct

A7. To find what should be added to 21/27 to make it 26/27, we need to calculate the difference between the two fractions.

Let  us suppose that we need to add x

=> 21/27 + x = 26/27

=> x= 26/27 - 21/27 = 5/27

Therefore, the answer is (c) 5/27.

Answer:

r in terms of p is 15/p , and when p is -5 than x = - 3

Answer:

It just makes doing things (like adding and subtracting other numbers) easier if the denominator is a real number. Other than that we just do it out of tradition

This step is done to make the denominator go from a complex number in the form a+bi into a purely real number in the form a^2+b^2 (where 'a' and b are any real numbers).

This is because multiplying a+bi with its conjugate a-bi leads to the following steps

(a+bi)(a-bi)

(a)^2 - (bi)^2 ... difference of squares

a^2 - b^2*i^2

a^2 - b^2*(-1) .... recall that i^2 = -1

a^2 + b^2

----------------

So for example, if your denominator was 2+3i, then you'd multiply that by the conjugate 2-3i and you'd end up with the final denominator of 2^2+3^2 = 4+9 = 13. In this case, a = 2 and b = 3.

Note: make sure to multiply both top and bottom by a-bi (not just the denominator).

Answer:

<k = 20

Step-by-step explanation:

Inscribed Angle = 1/2Intercepted Arc

<K = 1/2 (40)

<k = 20

Answer:

La cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.

Step-by-step explanation:

Para responder la pregunta, se debe descomponer el número en cuestión:

87.684

8 = Indica la cantidad de decenas del número, es decir, 8 decenas (80).

7 = Indica las unidades dentro de la decena, es decir, 7 unidades más que 80.

.6 = Indica la cantidad de decenas del entero.

.08 = Indica la cantidad de centésimas del entero.

.004 = Indica la cantidad de milésimas del entero.

Así, la cifra de las decimas es 6, la cifra de las centésimas es 8, la cifra de las milésimas es 4, y en la parte entera, la cifra de unidades es 7, mientras que la cifra de la decena es 8.