Let f(x) = 3(x - 6)^2 + 1. What is the range of f? Express your answer with interval notation.

Answer:

4x - 36 feet

Step-by-step explanation:

The area A of a  square whose sides are s units is given as

A = s * s

Given that the area A = x^2-18x+81, factorizing

A = x^2-9x-9x+81

A= x(x-9)-9(x-9)

A = (x-9)(x-9)

A = (x-9)^2

This means that the size of each side of the square  courtyard is x-9 feet long

Recall that the perimeter P of a square whose side is s long is given as

P = 4s hence since the side of the courtyard is x - 9 feet, the perimeter of the courtyard

P = 4(x-9)

= 4x - 36 feet

Answer:

[tex]\frac{14\sqrt{3} }{3}[/tex]

Step-by-step explanation:

Answer:

if the scale is .5 inches for every 10 feet the answer is C.

Answer:

x= 56

Step-by-step explanation:

since angle DF is half a circle it has to = 180 so you subtract 64 from 180 then you subtract 60 from that

for A multiply each time(hour) by 65 and when the number of hours doesnt have a number by it divide the pages by 65.

Step-by-step explanation:

Example for the first one multiply 65 by 3 , and for the pages divide 585 by the number you got previously from the # of pages. And also the same for B

Answer: 440 ft

Step-by-step explanation:

The top walking deck is 120ft long and yet comprises only 3/11 of the ships total length.

Assuming the total length of the ship is x ft long, the expression would therefore be:

x * 3/11 = 120 ft

The above shows that if x is multiplied by 3/11 it will give a distance of 120ft which is the top walking deck length.

Solving for x:

x * 3/11 = 120

x = 120 ÷ 3/11

x = 120 * 11/3

x = 440 ft

Note: When being divided by a fraction, you can multiply the inverse of the fraction to find the result.

Answer: 189 teens

Step-by-step explanation:

Given

- There are 19% of teens who like to volunteer at animal shelters

- There are in total 995 teens

Solve

19% × 995= 189.05

189.05≈189 (Since people must be in whole numbers, we need to round)

Hope this helps!! :)

Please let me know if you have any questions

The number of 1/8s which are in 25 as required to be determined is; 200.

It follows from the task content that the number of 1/8s in 25 as required in the task content is to be determined.

It follows from arithmetic principles that the number of 1/8s in 25 can be determined by evaluating; 25 ÷ 1/8

= (25 × 8) / 1

= 200.

Therefore, the number of 1/8s in 25 is; 200.

Also, if the number of 1/8s in 25 is to be determined; the multiplication equation to check the answer is; 1/8 × 200 = 25....which holds true.

Read more on division of fractions;

https://brainly.com/question/24247039

#SPJ1

Answer:

5 inches is 12.7 centimeters

Answer:

12.7

Step-by-step explanation:

I looked it up.

Here is the link:

Answer:

I am stuck on this problem too. Is it on eacxt path.

Step-by-step explanation:

Answer:

If DE// to BC, slope of DE= slope of BC

D=([tex]\frac{4+2}{2} ,\frac{6-2}{2}[/tex])

D=(3,2)

E=([tex]\frac{4-2}{2} ,\frac{6-4}{2}[/tex])

E=(1,1)

Slope of DE=[tex]\frac{2-1}{3-1} =\frac{1}{2}[/tex]

Slope of BC=[tex]\frac{-2-(-4)}{2-(-2)} =\frac{1}{2} =[/tex]Slope of DE

∴DE // to BC.

Answer:

straight

Step-by-step explanation:

it is a straight angle

Answer:

61

Step-by-step explanation:

Because all triangles's angles sum is always equal to 180, we can establish the equation, (9x - 31) + (7x - 2) + (4x + 33) = 180.

Simplifying, we get;

9x - 31 + 7x - 2 + 4x + 33 = 180

20x = 180

x = 9.

So, angle DCE = 7x - 2 = 7 * 9 - 2 = 63 - 2 = 61

Step-by-step explanation:

[tex] {3}^{3x - 4} = {9}^{x} \\ {3}^{3x - 4} = {3}^{2x} [/tex]

3x - 4 = 2x

3x - 2x = 4

x = 4

Answer:

No.

Step-by-step explanation:

4 x 3 is 12. 4 divided by 3 cannot be 12.

Hope it helps!

Answer:

No

Step-by-step explanation:

Not possible

Answer:

D is the right answer

Step-by-step explanation:

Answer:

32x76x4x-9÷42= 9727

6= 5

I'm not sure...

Answer:

-2084 4/7

Step-by-step explanation:

32×76=2432×4=9728×-9=-87552÷42=2084 4/7

Answer: I only answered number 3

Step-by-step explanation: Jenni has a box of chocolates. The box contains 6 plain, 4 milk and 5 white chocolates.?

Jenni takes 2 chocolates at random from the box. Work out the probability that at least 1 of these chocolates will be milk chocolate.

Answer:

James = 119 points

Sarah = 357 points

Roberts = 51 points

Step-by-step explanation:

Given that :

James = x points

Sarah = 3x points

Roberts = x - 68 points

Each point = 3 pence

All students have a total of £15.81

1 pound = 100 pence

£15.81 pound = 1581 pence

3x + 3(3x) + 3(x - 68) = 1581

3x + 9x + 3x - 204 = 1581

15x - 204 = 1581

15x = 1581 + 204

15x = 1785

x = 1785 / 15

x = 119

Hence,

James = 119 points

Sarah = 119 * 3 = 357 points

Roberts = 119 - 68 = 51 points

Answer:

positive

Step-by-step explanation:

a negative times a negative is always a positive

Answer:

1.643

Step-by-step explanation:

1.56 + 0.083

1.56 = 1.560

Starting from the digits the closest to the right, we do

0.003 + 0.000 = 0.003

0.08 + 0.06 = 0.14

so right now we have 0.143

0.0 + 0.5 = 0.5

so now we have 0.643 (because 0.1 + 0.5 = 0.6)

and finally 1 + 0 = 1

so we end with 1.643

The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

The expression is,

⇒ 1.56 + 0.083

Now, We can simplify as;

⇒ 1.56 + 0.083

Add as;

⇒ 1.643

Thus, The sum of the expression 1.56 + 0.083 is,

⇒ 1.643

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ3

Answer:

The answer are

(0,_4)

(2,6)

(3,11)

Answer is in the picture:

At 2:02 PM the two vehicles pass each other.

The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.

Given thta,

Los Angeles to San Francisco:

rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs

San Francisco to Los Angeles:

rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs

So, equation is

x/60 = (400-x)/40 + 3

x/60 = (400-x)+120/40

40x = 60[(400-x)+120]

40x=24000-60x+7200

100x=31200

x=312 miles

Now, time = 312/60

= 5.2 hours

Clock time = 9+5.2

= 14.2 hours

= 2:02 PM

Therefore, at 2:02 PM the two vehicles pass each other.

To learn more about the speed, distance, and time visit:

brainly.com/question/4978052.

#SPJ6

Answer:

2(4x-2)+3x*2=8x-4+6x=14x-4=122

14x=126

x=9

Step-by-step explanation:

Answer:

The exact value of tan A in simplest form is [tex]tan (A) = \dfrac{9}{40}[/tex]

Step-by-step explanation:

The parameters of the given right triangle are;

The length of the hypotenuse side = 41

The length of the vertical leg of the right triangle = 9

The  length of the opposite leg of the right triangle = 40

By trigonometric rule, we have;

[tex]tan (A) = \dfrac{Opposite \ leg \ length \ to \ angle \ A}{Adjacent \ leg \ length \ to \ angle \ A }[/tex]

Therefore, we have;

[tex]tan (A) = \dfrac{9}{40} = 0.225[/tex]

Answer:

[tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

Step-by-step explanation:

  [tex](-7pq^2r^3) * (-13p^3q^2r)[/tex]

= 91[tex]p^{1+3q^{2r} }[/tex]*[tex]q^{2r^{3} }[/tex]

= [tex]91p^{1+3q^{2r}}q^{2r^3}[/tex]

Answer:

2.45

Step-by-step explanation:

Change the picture

Answer:

[tex] x = \sqrt{6} [/tex]

Step-by-step explanation:

[tex] \cos \: 45 \degree = \frac{ \sqrt{3} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \sqrt{3} }{x} \\ \\ x = \sqrt{2} \times \sqrt{3} \\ \\ x = \sqrt{6} [/tex]