Find the measure of x, then the measure of 6-22
8x + 34
R
S
degrees

Answer:

54

Step-by-step explanation:

1. 36

2. 42

3. 48

4. 54

Answer:

-3 and 3

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x^2-2x-4=-2x+5\\ \\ x^2-9\\ \\ (x+3)(x-3)[/tex]

Answer:

a.) May or may not a polynomial function ( depends on c)

b.) Not a polynomial function.

c.) Not a polynomial function.

d.) It is a polynomial function.

Step-by-step explanation:

A polynomial function is of the form - [tex]a_{n}x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + .....+ a_{1}x + a_{0}[/tex]

where n is positive integer and n[tex]\neq[/tex] 0

a.)

P(x) = 2x³ + 32 - 4x + 4c

It may or may not a polynomial function because we did not know about the constant c.

b.)

H(x) = 4[tex]x^{\frac{1}{2} }[/tex] - 3x⁴

It is not a polynomial function because [tex]\frac{1}{2}[/tex] is not integer.

c.)

G(x) = 2[tex]x^{-3}[/tex] + 5

It is not a polynomial function because -5 is not a positive integer.

d.)

F(x) = 2x³ - 5x + 33x²

It is a polynomial function.

The standard form of a polynomial is expressed as;

[tex]p(x)=a_nx^n+x_{n-1}x^{n-1}+x_{n-2}x^{n-2}+...[/tex]

The leading power of a polynomial must be greater than 2 and must be a positive integer.

a) For the polynomial [tex]P(x)=2x^3+3x^2-4x+4c[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

b) For the function [tex]G(x)=2x^{-3}+5[/tex]

This is not a polynomial because the leading degree of the polynomial is a negative integer

c) For the function [tex]H(x) =4x^{\frac{1}{2} }-3x^4[/tex]

This is not a polynomial because the leading degree of the polynomial is a fraction.

d) For the polynomial [tex]P(x)=2x^3-5x+3+3x^2[/tex]

This is a polynomial since the leading degree of the polynomial is greater than 2 and a positive integer.

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Answer:

48:16 ---> 3:1

Step-by-step explanation:

48 and 16 can both be divided by 4 which makes it 12:4 but that can still be reduced which would make it 3:1

Answer:

When x = 5, y = 8.

Step-by-step explanation:

y is inversely proportional to X.

This means that we solve this using the rule of three for inversely proportional variables, that is, we apply line multiplication instead of cross multiplication.

y = 20, x = 2

Work out y when x = 5

20 - 2

x - 5

Applying line multiplication

[tex]5y = 40[/tex]

[tex]y = \frac{40}{5}[/tex]

[tex]y = 8[/tex]

When x = 5, y = 8.

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

                      [tex]p = \frac{1}{6}[/tex] =0.16

                     q = 1-p =  1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

      μ = n p

     μ  =  [tex]12 (\frac{1}{6} ) = 2[/tex]  

The mean of the binomial distribution  = 2

Step(ii):-

The standard deviation of X

                σ [tex]= \sqrt{npq}[/tex]

               σ = [tex]\sqrt{12(0.16)(0.84}[/tex]

                  σ = [tex]1.269[/tex]

The standard deviation of the binomial distribution

                σ = [tex]1.269[/tex]

Answer:

b

Step-by-step explanation:

Answer:

The answer is r < 4

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

hoped this helped!

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Rotating a point 180 degrees in the coordinate system just reverses the signs of the original coordinates. L=(8,-6), M=(8.-1), N=(5,-3) become L=(-8,6), M=(-8,1), N=(-5,3)

Answer:

4

Step-by-step explanation:keep change flip 4/5 x 5/1 = 20/5= 4

Answer:

8.5m

Step-by-step explanation:

Answer:

Step-by-step explanation:

Q and X

On a telephone dial, the letters "Q" and "Z" do not appear. The dial was designed to include commonly used letters and numbers, prioritizing efficiency and simplicity in dialing.

On a traditional telephone dial, there are two letters that do not appear:

The letter "Q" does not appear on the telephone dial. This omission is because the letter "Q" is not necessary for dialing phone numbers or for any commonly used telephone functions.

The letter "Z" is also absent from the telephone dial. This omission is because the letter "Z" is not needed for dialing phone numbers and is not commonly used in telephone-related applications.

The layout of the telephone dial was designed to accommodate the most frequently used letters and numbers while minimizing the number of keys. This design decision was made to ensure efficiency and simplicity in dialing numbers and accessing telephone services.

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Answer:

2

Step-by-step explanation:

3 1/5 * 5/8

First, change 3 1/5 into an improper fraction.

3 1/5 = 16/5

Then, substitute it into the original equation.

16/5 * 5/8

Multiply the numerators and denominators.

16*5 / 5*8 = 80 / 40 = 2

Answer:

45 feet.

Step-by-step explanation:

Given that a model of a lighthouse has diameter 8 inches and height 18 inches, and the actual diameter of the lighthouse is 20 feet, in order to find its actual height, the following calculation has to be made:

20 feet = 240 inches

240 / 8 = 30

Scale ratio: 1:30

18 x 30 = 540

540 inches = 45 feet

Therefore, the actual height of the lighthouse is 45 feet.

Answer:

45 ft

Step-by-step explanation:

Answer:

200,000 identification numbers are possible

Step-by-step explanation:

For the first digit, there are only two possible outcomes, 0 or 1.

For the next five digits, there are 10 possible outcomes(0,1,2,3,4,5,6,7,8,9).

How many identification numbers are possible?

[tex]2 \times 10^5 = 200000[/tex]

200,000 identification numbers are possible

Answer:

3/8 % = 37.5 %

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

-9, -8, -4 , 6 then 9..

Step-by-step explanation:

Your welcome

Answer:

0.153846154

Step-by-step explanation:

26 pounds for 4 acres

1 pound will need less acres

Answer:

Step-by-step explanation:

Tan A = Sin A/Cos A

Cot A = Cos A / Sin A

Sin A*Cos A * tan A + Cos A * Sin A * Cot A

  [tex]= Sin A * Cos A * \frac{Sin A}{Cos A} + Cos A*Sin A * \frac{Cos A}{Sin A}\\\\= Sin A * Sin A + Cos A * Cos A\\\\= Sin^{2} A + Cos^{2} A\\\\= 1[/tex]

Answer:

15.874507866388

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

A806.5

Answer:

806.5 answer  

Step-by-step explanation:

Answer:

105%

Step-by-step explanation:

We'll analyse the question one step at a time

Let the original price be x.

Let y be the 40% increase

[tex]y =x + 40\% *x[/tex]

Express as decimal

[tex]y =x + 0.40 x[/tex]

[tex]y =1.40x[/tex]

Let z be the 25% off sale

[tex]z = (1 - 25\%) * y[/tex]

Express as decimal

[tex]z = (1 - 0.25) * y[/tex]

[tex]z = (0.75) * y[/tex]

[tex]z = 0.75y[/tex]

Substitute 1.40s for y

[tex]z = 0.75*1.40x[/tex]

[tex]z = 1.05x[/tex]

Express 1.05 as a fraction

[tex]z = 105\% * x[/tex]

The percentage is 105%

Answer:

D. -1, -1. 2,8. 5,17. 8, 25

Step-by-step explanation:

esa es

Answer:

x=56

Step-by-step explanation:

(2x-3)degrees+71 degrees=180 degrees because they are supplementary angles

This simplifies to 2x+68=180 because -3+71 is 68.

2x+68=180

2x=180-68

2x=112

x=112/2

x=56

Answer: x+5y=-13= (x=−5y−13)

   2x-5y=-20​= (x=5/2y-10)        

Step-by-step explanation: The answers are labeled in parenthesis. According to my calculations, this is what I got. Sorry for any inconvenience.

Answer:

x+5y=-13 ......(1)

2x-5y=-20..........(2)

adding equation 1 and 2

x+5y+2x-5y=-13-20

3x=-33

x=-33/3=-11....answer

multiplying equation 1 by 2 and adding equation 1&2

2x+10y-2x-(-5y)=-26-(-20)

10y+5y=-26+20

15y=-6

y=-6/15=-2/5......answer

Answer:

-87

Step-by-step explanation:

Answer:

-87

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Since the given triangles ΔLMN and ΔCBQ are similar,

Their corresponding sides will be proportional.

[tex]\frac{LM}{CB}= \frac{MN}{BQ}=\frac{NL}{QC}[/tex]

Since, [tex]\frac{LM}{CB}= \frac{MN}{BQ}[/tex]

[tex]\frac{(5x-6)}{6}=\frac{52}{13}[/tex]

5x - 6 = 24

5x = 30

x = 6

Therefore, x = 6 will be the answer.