Write the domain and range of the function represented below. (2,9), (3, 4), (-1,2), (6, 1)

Domain:
Range:​

Answer:

p = - 2 , q = - 1

Step-by-step explanation:

Rearrange the left side into standard form

- x² + 4x - 5

Factor out - 1 from - x² + 4x

= - (x² - 4x) - 5

Using the method of completing the square

add/subtract ( half the coefficient of the x- term)² tp x² - 4x

= - (x² + 2(- 2)x + 4 - 4) - 5

= - (x - 2)² - (- 4) - 5

= - (x - 2)² + 4 - 5

= - 1 - (x - 2)²

Comparing to q - (x + p)²

with p = - 2 and q = - 1

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

Given that, Victoria logged in to work at 8:15 am and logged out at 4:25 pm.

A clock or a timepiece is a device used to measure and indicate time. The clock is one of the oldest human inventions, meeting the need to measure intervals of time shorter than the natural units such as the day, the lunar month and the year.

Victoria logged in to work at 8:15 am

8:15 am →9:15 am →10:15 am→11:15 am→12:15 pm→1:15 pm→2:15 pm→3:15 pm→4:15 pm

8:15 am →9:15 am = 1 hour

9:15 am →10:15 am = 1 hour

10:15 am→11:15 am = 1 hour

11:15 am→12:15 pm = 1 hour

12:15 pm→1:15 pm = 1 hour

1:15 pm→2:15 pm = 1 hour

2:15 pm→3:15 pm = 1 hour

3:15 pm→4:15 pm = 1 hour

So, in total Victoria logged in for 8 hours 10 mins

Its nearest quarter is [tex]8 \frac{1}{4}[/tex] hours

In total Victoria worked for [tex]8 \frac{1}{4}[/tex] hours. Therefore, option D is the correct answer.

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Answer:The simplest random sample allows all the units in the population to have an equal chance of being selected. ... Perhaps the most important benefit to selecting random samples is that it enables the researcher to rely upon assumptions of statistical theory to draw conclusions from what is observed.

Step-by-step explanation:

The answer is 28/3, and in simplest form its 9 1/3

Answer:

C) D and F; A and G

Step-by-step explanation:

Answer: Answer: x> -2/11

Step-by-step explanation: Multiply both sides of the inequality by the least common denominator: 2 (-5/2(3x-2))<2x6-2x2x

Reduce the expression to the lowest term: -5(3x-2)<2 x 6-2 x 2x

Apply Multiplicative Distribution Law: -15x + 10< 2 x 6 -2 x 2x

Multiply the monomials:-15x + 10< 2 x 6 - 4x

Calculate the product or quotient: -15x + 10<12-4x

Rearrange unknown terms to the left side of the equation: -15x + 4x< 12 - 10

Combine like terms: -11x < 12 - 10

Calculate the sum or difference: -11x<2

Divide both sides of the inequality by the coefficient of variable: x > 2 ÷(-11)

Rewrite as fraction: x> 2/-11

Rewrite the fraction: x> -2/11

Answer: x> -2/11

The solution to the inequality is x>-2/11.

The given inequality is -5/2 (3x-2)<6-2x

We need to simplify the given inequality step by step.

To solve an inequality, isolate the variable on one side with all other constants on the other side. To accomplish this, perform opposite operations to manipulate the inequality. First, isolate the x by multiplying each side by two. Whatever you do to one side you must also do to the other side.

Now, multiply both sides of the inequality by 2.

That is,  -5(3x-2)<2(6-2x)

=-15x+10<12-4x

Add both sides of the inequality by 4x.

That is, -15x+10+4x<12-4x+4x

=-11x+10<12

Subtract 10 on both sides of the inequality.

That is, -11x+10-10<12-10

-11x<2

Divide both sides of the inequality by -11.

x>-2/11

Therefore, the solution to the inequality is x>-2/11.

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Answer:

[tex] 2 \times x \times \frac{1}{x} = 2 \\ {x}^{2} + {y }^{2} + 2xy = {(x + y)}^{2} \\ {x}^{2} + \frac{1}{ {x}^{2} } + 2 = {(x + \frac{1}{x} })^{2} = {3}^{2} = 9[/tex]

Answer: the CORRECT answer is B

Why B?:

The CARS Checklist (Credibility, Accuracy, Reasonableness, Support), created by Dr. Robert Harris, is a system for evaluating the quality of research information.

Answer:

10% is the answer to this question

Answer:

x = 45 y = 90

Answer:

Option D. is correct.

Step-by-step explanation:

Let us assume that x = seven square root three plus two square root nine  

i.e. x = 7√3 + 2√9

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

⇒ x = 7√3 + 6

Here, 7√3 is an irrational number and 6 is a rational number.

The answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D. is correct.

The correct answer is  7√3 + 6 is irrational because the sum of a rational number and an irrational number is an irrational number.

Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Assume that x be the seven square root three plus two square root nine ;

i.e. x = 7√3 + 2√9

Now

⇒ x = 7√3 + 2 × 3 {Since 9 = 3²}

x = 7√3 + 6

Here, we can see that 7√3 is an irrational number and 6 is a rational number.

The correct answer is seven square root of three plus six is irrational because the sum of a rational number and an irrational number is an irrational number.

Therefore, option D is correct.

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Answer:

D

Step-by-step explanation:

The 3 angles in a triangle sum to 180°

Sum the 3 given angles and equate to 180

2x + 3 + 7x - 5 + 3x + 14 = 180 , collect like terms

12x + 12 = 180 ( subtract 12 from both sides )

12x = 168 ( divide both sides by 12 )

x = 14

Then

∠ F = 7x - 5 = 7(14) - 5 = 98 - 5 = 93° → D

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

Answer:

[tex]x \rightarrow + \infty \: \Rightarrow \: y \rightarrow + \infty \\ x \rightarrow - \infty \: \Rightarrow \: y \rightarrow - \infty[/tex]

x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The meaning of end behavior is how the function ‘y’ (in this case) moves when x tends towards both ∞ and - ∞.

As x → ∞ y → ∞.

This is apparent from the upward movement of the graph of the function y=10x⁹ –4x

As x →- ∞ y → -∞

This inference is also drawn from the above graph i.e. as x values become more negative the graph of y also travels towards infinity i.e. southward on the LHS of the above graph.

Even though the graph of the function remains flat in between x = -4 to x = 4.

After these points, the graph moves towards infinity exponentially.

Hence, x → ∞ y → ∞ and as  x →- ∞ y → -∞  is the end behavior of the graph of the polynomial function y = 10x⁹ – 4x

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Answer:

96

Step-by-step explanation:

Answer:

15?

Step-by-step explanation:

is a=1 b=2 c=3?? I'm confused

Answer:

85

Step-by-step explanation:

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle.

As you can see in the attached image we can find the measure of the interior angle using the straight line and find the value of missing angle

25 + 60 = 85

x will be 142 degrees as they are corresponding angles. See the attached image

Answer:

2 times 7 is 14

2,4,6,8,10,12,14

Step-by-step explanation:

hope this helps

27) A

28) C

29) B

30) T

Answer:

They are difficult to diagnose through route medical tests. A careful analysis of signs and symptoms is far more productive in eliciting the diagnoses verses blood tests. At least through suck signs and symptoms the presumptive diagnosis of parasitic infestations can be made. It all just depends though.

Pls mark brainliest I would really appreciate it

Answer: They are difficult to diagnose through route medical tests. A careful analysis of signs and symptoms is far more productive in eliciting the diagnoses verses blood tests

Answer:

$20,960

Step-by-step explanation:

brainliest?

every 14 days you get payed only 10 dollars?

id say less then 1000

Answer:

101 degrees

Step-by-step explanation

Image result for step of how to find a missing angle

For the exact angle, measure the horizontal run of the roof and its vertical rise. Divide the horizontal measurement by the vertical measurement, which gives you the tangent of the angle you want. Use a trigonometry table to find the angle.

Answer:

I'm not really sure but I think it's 2

Step-by-step explanation:

So here's what I did;

x³+3x-9=x - 1 +2x

x³+3x - x -2x = 9 - 1

x³= 8

x = ³√8

x = 2

I hope this helps

Divide total dollars by the conversion rate:

68/1.36 = 50

Answer: £50

Answer:

] The three consecutive even numbers are 38, 40 and 42. The smallest of the three is clearly 38.           Step-by-step explanation:Even numbers are of the form [math]2k[/math], [math] k \in \mathbb{Z}[/math]. Three consecutive even numbers are of the form [math]2k[/math], [math]2(k+1)[/math], [math]2(k+2)[/math]. We have that their sum is 120 therefore [math]\\2k + 2(k+1) + 2(k+2) = 120 \Leftrightarrow k+(k+1)+(k+2) = 60 \Leftrightarrow 3(k+1) = 60 \\ \Leftrightarrow k+1=20 \Leftrightarrow \boxed{k=19}.[/math

Answer:

JC picture below

Step-by-step explanation:

JC

Answer:

A 5.25, B 5.75, C 10.25, D 25.8125

Step-by-step explanation: