State the domain and range of the following function.

Answer:

Step-by-step explanation

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D

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Answer:

x=[tex]\sqrt{2}[/tex]/4 and x=-[tex]\sqrt{2}[/tex]/4

Step-by-step explanation:

One method of solving is using the Quadratic Formula: -b ±[tex]\sqrt{b^{2}-4ac }[/tex]/2a, with a=8, b=0, and c=-1.

After plugging these values in you get -0±[tex]\sqrt{0^2-(4*8*-1)}[/tex]/2*8

After simplifying you get ±[tex]\sqrt{32}[/tex]/16

Because 32 is 2^5, you can simplify it to 4[tex]\sqrt{2}[/tex], which makes the equation ±4[tex]\sqrt{2}[/tex]/16, or ±[tex]\sqrt{2}[/tex]/4.

Answer:

12 ,,............,.,...,,,.

The value of x is 12 (Option a) if m∠2 = 6x - 12.

The given figure is an equilateral triangle, it means all three angles are equal. Therefore, we can assume that m∠2 is one of the angles of the equilateral triangle.

From the given information, we have:

m∠2 = 6x - 12

Since all angles of an equilateral triangle are equal, we can set up the equation:

m∠2 = m∠1 = m∠3

Let's assume m∠1 = m∠2 = m∠3 = y (where y represents the measure of each angle in the equilateral triangle).

We can equate the measures of the angles:

y = 6x - 12

Now, let's solve this equation to find the value of x:

6x - 12 = y

Since y represents the measure of each angle in the equilateral triangle, we can substitute y with 60° (since the sum of the angles in an equilateral triangle is 180°, and each angle is 60°).

6x - 12 = 60

Adding 12 to both sides:

6x = 72

Dividing both sides by 6:

x = 12

Therefore, the value of x is 12.

So, the correct option is: (a) 12

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the domain is all the real numbers, or (-infinite <x<infinite)

the range is y>=-4

axis of symetry is x= -1

vertex is (-1,-4)

the parabola opens upwards

x intercepts (-3,0) and (1,0)

y intercepts (0,-3)

Answer:

Step-by-step explanation:

5 * 3 = 15

8 * 9 = 72

Add

Answer = 87 cm^2

Answer:

nuber 1 is sum 2 is quotient 3 is produckproduct

Step-by-step explanation:

number 1 is sum, 2 is quotient , 3 is product.

A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.

here, we have,

an expression with grouping symbols.

When an expression has more than one set of grouping symbols,

So, the answer is,

number 1 is sum, 2 is quotient , 3 is product.

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Answer:

48/52

Step-by-step explanation:

The probability of picking up an ace in a 52 deck of cards is 4/52 since there are 4 aces in the deck. The odds of picking up any other card is therefore [tex]52/52 - 4/52 = 48/52.[/tex]

I hope this helps and have a great day!

Answer: 110

Find the prime factors of each term in order to find the greatest common factor (GCF).

Find the GCF 20+25+65

Answer:

a. -2 4

Step-by-step explanation:

Answer:

10 meters

Step-by-step explanation:

highest value on y-axis

Answer:

Subtract 36 and 16

Step-by-step explanation:

16 + b^2 = 36

Subtract 16 from each side

16+b^2 -16 = 36-16

b^2 = 20

Take the square root of each side

sqrt(b^2) = sqrt(20)

b = sqrt(20)

L/W = 3/1 or L = 3*W

A = L*W = (3*W)*W = 3*W^2 = 675 m^2

W^2 = (675 m^2)/3 = 225 m^2

W = sqrt(225 m^2) = 15 m

L = 3*W = 3*(15 m) = 45 m

Answer:

x =  x = 9 ±[tex]\sqrt{13}[/tex]  or x ≈ 12.61 or  x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68            Solve by completing the square.

x² - 18x = - 68    

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81  = -68 + 81

(x - 9) (x - 9) = 13                  Now find the square root of both sides

[tex]\sqrt{(x - 9)(x - 9)}[/tex] =[tex]\sqrt{13}[/tex]            Solve

x - 9 = ±[tex]\sqrt{13}[/tex]                         Solve for x

x = 9 ±[tex]\sqrt{13}[/tex]  

x = 9 + [tex]\sqrt{13}[/tex]    or  x = 9 - [tex]\sqrt{13}[/tex]      

x ≈ 12.61      or x ≈ x  5.39            

Answer:

infinite (many)

Step-by-step explanation:

3(2k-5)=6(k-4)+9

6k-15=6k-15

since they are the same on both sides of the equal side any solution for x would work.

The equation 3(2k - 5) = 6(k - 4) + 9 has many solutions.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We have,

3(2k - 5) = 6(k - 4) + 9

6k - 15 = 6k - 24 + 9

6k - 15 = 6k - 15

Both sides of the equation are the same.

This means,

The equation has many solutions.

Thus,

The expression has many solutions.

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Answer:

1 that weighs 2pounds and 3 pounds,

Step-by-step explanation:

16 ounces in a pound

16x2 and 16x3

32

48

Answer:

Total of both is 6840. Each would be 3420

Answer:

A.3060 students

Step-by-step explanation:

Number of students in E= 72/360*7200 =1440 students

Number of students in B= 81/360 *7200=1620 students

Adding, 1440 students+1620 students=3060 students

Answer:

47%

Step-by-step explanation: 375 × .125 = .046875

rounding up, 5 keeps the 7 as is, 7 is greater than 5, therefore the 8, becomes a 9, 9 is greater than 5, so the 6 becomes a 7, .047.

move the decimal three digits to the left and you get, 47%.

Answer:

i think its the 2nd and 4th

Step-by-step explanation:

Answer:

a degree is the highest exponent

so all of the have an exponent of 1 which means all of the have the same exponent

all the numbers are degrees of this trinomial I bealive

Answer: is not a full square

Step-by-step explanation:

Just look at the degree ; if it were a multiple of two , then the number would be a full square ; but as we see , 9 is not a multiple of two  , from which it is not a full square

Answer: x+8

Step-by-step explanation:

Answer:

Prompt - Select an image of an art work from smarthistory by looking at the "Histories of Art" tab.

Objective - This is an exercise to get comfortable with applying the language of art as well as the steps of the Art Analysis ChartActions (summarized below).

You must include in this exercise four short, clearly separated paragraphs (2-3 sentences) consisting of the concerns printed in bold:

1. description of the chosen image (include the image information: title, artist's name, year, medium, etc.) and say what you see.

2. analysis of what you see by saying what each element is achieving (e.g. "converging lines are used to draw our attention to the focal point.")

3. interpretation of the image by saying what the work is about and what it means.

4. evaluation of the image by talking about where you think the "value" lies in your chosen image, and explain why. The term value here is not in the context of light or dark as in formal attributes. It refers to what is significant in the work of art you are analyzing, and how successful or unsuccessful it has been executed. Evaluation here is an exercise in reasoning/arguing based on your previous three paragraphs.

Answer:

Justin worked 25 hours and 45 minutes.

25 3/4 hours total

First add the hours together.  

12 + 13 = 25

Then add the minutes together.  

4 + 41 = 45

So 25 hours and 45 minutes

or

25 3/4 hours

45 minutes is also 3/4 of an hour

Hi there! I am GraceRosalia (SilentNature), and I hope my answer will help you!

3.6w=2(0.8w+12)

Use the Distributive Property:

3.6w=1.6w+24

Move all the constants to the left side:

3.6w-1.6w=24

2w=24

Divide both sides by 1.8 to isolate w:

w=12

Hope this helps you!! Please mark Brainliest!!

~Just a joyful teen

[tex]SilentNature[/tex]

Answer:

W=12

Step-by-step explanation:

3.6w=2(0.8w+12)

3.6w=1.6w+24

Subtract 1.6w from both  sides

3.6w-1.6w=1.6w+24-1.6w

Simplify

2w=24

Divide both sides by 2

2w/2=24/2

Simplify

w=12

Answer:B

Step-by-step explanation:200 times 2 is 400

Step-by-step explanation:

m<1(exterior angle) = (sum of two opposite interior angle) 50+70 = 120°.

hope this helps you.

Answer:

120 degrees

Step-by-step explanation:

50 + 70 = 120

180 - 120 = 60

180 - 60 = 120 degrees

Answer:

if it says she used 4 cups of sugar then she used 4 cups of sugar?

but if she used 4 cups of flour then she used 2 cups of sugar

Step-by-step explanation:

Hope this helps! :)