Determine the vertex of the function f(x) = 3x2 – 6x + 13.
1. Identify the values of a and b.
a = and b =
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is.

The radius of the circle is 17 feet. Then the area of the circle is 907.46 square feet.

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Let r be the radius of the circle. Then the area of the circle will be given as,

A = πr² square units

The diameter of the circle is 34 feet. Then the radius of the circle is calculated as,

r = 34 / 2

d = 17 feet

The area of the circle is calculated as,

A = πr²

A = 3.14 x 17 x 17

A = 907.46 square feet

More about the area of a circle link is given below.

https://brainly.com/question/11952845

#SPJ2

Answer:

{-7, 2, 8}

Step-by-step explanation:

We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.

So our equation is:

y = 3x + 2

Then we substitute for the x-values:

y = 3(-3) + 2

y = -9 + 2

y = -7

y = 3(0) + 2

y = 0 + 2

y = 2

y = 3(2) + 2

y = 6 + 2

y = 8

So our range would be {-7, 2, 8}.

Answer:

1/12 yard

Step-by-step explanation:

divide the total length by the amount of pieces

3/4 / 9

or multiply the bottom number by 9

4 *9 then divide by 3

36/3 = 12 and put it under 1

1/12

Answer:

The answer is 89 over 100!

Step-by-step explanation:

I have already said this but i saw it again so decided to help again!

<3

Answer:

b=61

a=14

Step-by-step explanation:

The two lines are parallel, so

b= a+47

180- (47*2)=180-94= 86

33+86=119

b=180-119=61

a=b-47

a=61-47=14

Answer:

105

Step-by-step explanation:

105

Answer:

1. $48

2.$49

3.$91

4.$12

Step-by-step explanation:

For 1 and 2

To find the sale price, you find out how much is the percentage of the original price. Example :

(20/100)/60 = $12

So $12 is the discount

thus sales price will be $60-$12=$48

Same thing for no.2, find the amount of the percentage and subtract it from the original price

For 3 and 4

To find the original price

1. Subtract the percentage from 100%

2. Multiply the sales price by 100

3. Divide the ans from no.2 by ans from no.1

Example :

100%-40%=60%

$54.60×100=5460

$5460÷60%= $91 (original price)

Same thing for no.4

Hope this helps haha

Answer:

Area of the sector = [tex]\frac{\pi }{8}[/tex] cm²

Step-by-step explanation:

Measure of the given arc = 45°

Central angle formed by the arc = 45°

Formula to be used,

Area of the sector bounded by the arc = [tex]\frac{\text{Central angle}}{360}\times \pi r^{2}[/tex]

Here, r = radius of the circle

Area of the sector = [tex]\frac{45}{360}(\pi)(1)^2[/tex]

                               = [tex]\frac{\pi }{8}[/tex] cm²

Answer:

1/3

Step-by-step explanation:

(5 + 4 + 3 + 3) x 2 = 30

Multiplied by two because two marbles are being picked.

10/30 = 1/3

Answer:

228

Step-by-step explanation:

We are adding 3 each time so general rule is

Tn= 3n + 3

Therefore

T= 3(75)+3

= 228

Answer:

228

Step-by-step explanation:

I don't need brainliest. What the other guy said with an explanation, i didn't want to copy & paste to make him think i took the explanation from him. But hey, we hope this helps

Answer:

28 feet

Step-by-step explanation:

Since each side length of the square is 1 foot.

Let x represent the length of the small slant side and y represent the length of the long slant side. Hence:

x² = 5² + 1²

x² = 26

x = √26 = 5.1 feet

y² = 6² + 3²

y² = 45

y = 6.7 feet

The perimeter of the figure is the sum of all the sides of the figure, hence:

Perimeter = 11 feet + 4 feet + 5.1 feet + 6.7 feet + 2 feet = 28.8 feet

Therefore the best estimate of the perimeter of the figure below is 28 feet.

Answer:

30

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

3 and 7

18 and ?

(3x6= 18) therefor you multiple 7 and 6 which gets you 42. The answer is 42.

Answer:

to find the long side ( hypotneuse) you use the equation a^2+b^2=c^2 where c^2 is the hypotneuse. In this case 7^2 + 6^2=c^2

49+36=c^2

85=c^2

take the square root of 85 to get c

X= 9.2

Answer:

-9.3 meters per minute

Step-by-step explanation:

a=−2.3(1)−7

Multiply −2.3 and 1 to get −2.3.

a=−2.3−7

Subtract 7 from −2.3 to get −9.3.

a=−9.3

Answer:

x=8

Step-by-step explanation:

You have to add 6 to both sides in order to get x by itself.

Answer:

32/12

Step-by-step explanation:

To calculate the tangent you need to divide the opposite side by the adjacent side: 70/24=35/12

Answer:

tan G = 2.9167

Step-by-step explanation:

tan G = 70/24

tan G = 2.9167

Answer:

Radius is from the center of a circle to the end

Step-by-step explanation:

You need radius to find area

Answer:

The radius of a circle is the length of a line from the middle of a circle to the circumference.

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt{y3} \times \sqrt{y3} [/tex]

[tex] \sqrt{y3 \times y3} [/tex]

[tex] \sqrt{y3 + 3} [/tex]

[tex] \sqrt{y6} [/tex]

Answer:

154,068

Step-by-step explanation:

It might be easier to reformat the problem:

4164

x 37

____

154,068

Answer: C) On average, the employees of Company A take more sick days than the employees of Company B.

Step-by-step explanation: USATESTPREP

Answer:

B

Step-by-step explanation:

On average the employees of company a takes more sick days than employees of company b

Mean of company a=9 mean b=6. 9>6

Answer:

Δy = 9

Δx = -6

Slope = -3/2

Step-by-step explanation:

The slope formula is the change in y (Δy) over change in x (Δx).

Δy = [tex]y_2-y_1[/tex]

Δx = [tex]x_2-x_1[/tex]

We are given the points of (5,-3) and (-1,6).

[tex]m=\frac{6-(-3)}{-1-5}=\frac{9}{-6}=\boxed{-\frac{3}{2}}[/tex]

The slope is -3/2.

Hope this helps.

Answer:false

Step-by-step explanation: