A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?

Answer:WHAT VALUE AND WHAT DIGIT

Step-by-step explanation:

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about absolute value graphs at:

https://brainly.com/question/3381225

Answer: x=14

Step-by-step explanation: have a good day

Answer:

33  1/3%

Step-by-step explanation:

Because there are 3 girls and 9 total animals, you do: 3/9, which is 1/3. You divide to find the percent. 1/3=33.333333..... Because you have a repeating decimal, you do 33 and 1/3, because the repeating decimal is .33333.....

Answer:

We can simplify everything to the power of 2:

[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]

[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]

As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:

3x+6=4x+4

solve for x

x=2

D (last answer choice)

plug x=2 in and check and you will get 4096=4096

Answer:

56% left of the book

Answer:

56 %

Step-by-step explanation: There are two ways to arrive at the answer.

1st Way: 110/250 = 0.44

0.44 * 100 = 44%

44% is the amount he has read and we are looking for the amount that is left to read.

So we know 100% is the maximum percentage.

We then subtract 44 from 100 which is 56, So 56 is the answer.

2nd Way: 250-110 = 140

140/250=0.56

0.56*100= 56%

Hope this helps.

Answer:

D. Neither table represents a function

Step-by-step explanation:

Functions require a key to go by. In this case, none of the two tables have a key from the start going down.

Answer:

Step-by-step explanation:

Let the digits be:

Each of them include numbers 1 through 5.

For each digit there are 5 options.

Total number of combinations is:

Answer:20 (p-3)

Step-by-step explanation:

Answer:

Functions: Second Graph

The other two are not. Use the vertical line test. I'm pretty sure but not 100%

Step-by-step explanation:

Answer:

  a[1] = 100

  a[n] = 1.05·a[n -1]

Step-by-step explanation:

The given terms do not have a common difference, but do have a common ratio. Each is 1.05 times the previous. This is expressed in a recursive relation as ...

  a[1] = 100

  a[n] = 1.05·a[n -1]

Answer:

No

Step-by-step explanation:

Answer:

Golf balls

Step-by-step explanation:

There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)

Use the multinomial theorem to compute some polynomial expansions:

(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)

(a + b + c)³ = a³ + b³ + c³

… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)

… … … … … … + 6 abc

(a + b + c)⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

Now, given that

a + b + c = 4

a² + b² + c² = 10

it follows that

ab + ac + bc = (4² - 10)/2 = 3

We use this result to simplify the extra terms in the 3rd-degree expansion.

a²b + a²c + ab² + b²c + ac² + bc²

= a (ab + ac) + b (ab + bc) + c (ac + bc)

= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc

… … I underline the terms that are added and subtracted … …

= (a + b + c) (ab + ac + bc) - 3abc

= 4 • 3 - 3abc

= 12 - 3abc

Given that

a³ + b³ + c³ = 22

this tells us that

4³ = 22 + 3 (12 - 3abc) + 6abc

4³ = 58 - 3abc

and so

abc = (4³ - 58)/(-3) = -2

from which it follows that

a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18

Now we similarly simplify the extra terms in the 4th-degree expansion.

a³b + a³c + ab³ + b³c + ac³ + bc³

= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)

= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²

= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)

= 10 • 3 - (a²bc + ab²c + abc²)

which means

4⁴ = a⁴ + b⁴ + c⁴

… … … … … … + 4 (30 - a²bc - ab²c - abc²)

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 12 (a²bc + ab²c + abc²)

reduces to

136 = a⁴ + b⁴ + c⁴

… … … … … … + 6 (a²b² + a²c² + b²c²)

… … … … … … + 8 (a²bc + ab²c + abc²)

Now, we know a + b + c = 4 and abc = -2, so we have

a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8

and so

136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)

200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)

Finally, we know that ab + ac + bc = 3. Squaring this gives

(ab + ac + bc)² = 3²

a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9

but we also know that a²bc + ab²c + abc² = -8, so

a²b² + a²c² + b²c² + 2 • (-8) = 9

a²b² + a²c² + b²c² = 25

Therefore, we end up with

200 = a⁴ + b⁴ + c⁴ + 6 • 25

⇒   [[[   a⁴ + b⁴ + c⁴ = 50   ]]

Answer:

1 month.

Step-by-step explanation:

When reading a graph, the most important thing is knowing what the axes are. Here, the horizontal x-axis is months, and the vertical y-axis is the number of books read. Those are our 2 variables.

Now, a line on a graph shows the relationship between those 2 variables. At any given point on the line, it'll have an output value of y (books read) for whatever input value of x.

The question gives you the value on the y-axis (books read), so all you need to do is find the value of x that corresponds to that point on the line. I marked that point on the line in the attached image. Look directly below that point on the line, and you can see that 1 month corresponds to 4 books read.

Answer:

  x = 274 91/107

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

  2.14x -12.18 +12.18 = 576 +12.18

  2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

  2.14x(1/2.14) = 588.18(1/2.14)

  x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

x = 274 91/107

Step-by-step explanation:

Step-by-step explanation:

This is called a "two-step linear equation" because it is solved in 2 steps.

Step 1. Identify the constant on the same side of the equation as the variable term, and add its opposite to both sides of the equation.

 2.14x -12.18 +12.18 = 576 +12.18

 2.14x = 588.18

__

Step 2. Identify the coefficient of the variable and multiply both sides of the equation by its reciprocal.

 2.14x(1/2.14) = 588.18(1/2.14)

 x = 274.850467... = 274 91/107 . . . the decimal fraction repeats

The solution to the equation is x = 274 91/107.

Answer:

3

Step-by-step explanation:

Step 1: Find the factors of 3 and 33.

Step 2: Find the largest common factor they share.

Therefore, the GCF of 3 and 33 is 3.

Answer:

1/9

Step-by-step explanation:

There are 3 even numbers. 2,4, and 6. There is a 1/3 chance of rolling one on each dice.

So 1/3*1/3=1/9

Answer:

5

Step-by-step explanation:

6-2x = 5x-9x+16

leave the x's together: (going over the equal signs changes the sign)

-2x-5x+9x = 16-6

2x = 10

x = 5

Answer:

C. 4/3

Step-by-step explanation:

2 × ⅓ + ⅔

⅔ + ⅔ = 4/3

Use X as ⅓, and use Y as ⅔.

Answer:

26V^5+2V^7

Step-by-step explanation:

Answer:

I think it's-12

I am not sure

Please ask to some one else please

The expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Give two integers A and B, according to the commutative law of addition;

Given the expression (-1+3i) + (18+5i)

The expression that demonstrates the use of the commutative property of addition in the first step of simplifying the expression is given as:

(-1+3i) + (18+5i)

-1 + 3i + 18 + 5i

(-1 + 18) + (3i + 5i)

We can see that the rearrangement does not affect the sum. Hence the expression that demonstrates the use of the commutative property is

(-1 + 18) + (3i + 5i)

Learn more on commutative property here: https://brainly.com/question/778086

Answer:

0.14705882352

Step-by-Step:

Just use a calculator and your answer should pop up.

Answer:

I would have done it the same way. Believing it is correct.

Step-by-step explanation:

Answer: Looks precise

Step-by-step explanation:

Answer:

$54 = 71%, $22 = 29%

Step-by-step explanation:

54+22=76

54/76 = 0.7105

22/76 = 0.2894