The table below shows the outputs y for different inputs x:Input
(x) 1 1 3 3
Output
(y) 4 2 12 6


Part A: Does the table represent y as a function of x? Justify your answer. (5 points)

Part B: The total cost f(x), in dollars, for renting a paddleboat for x hours is shown below:

f(x) = 20 + 10x

What is the value of f(120), and what does f(120) represent? (5 points

Answer and explanation:

To find : Whisper the numbers in standard form and unit form?

Solution :

According to place value system,

Hundreds       Tens       Ones

So, Writing numbers according to them is whisper by its place value

a) 15

1 tens 5 ones

b) 152

1 hundred 5 tens 2 ones

c) 102

1 hundred 0 tens 2 ones

d) 290

2 hundred 9 tens 0 ones

e) 300

3 hundred 0 tens 0 ones

Final answer:

The numbers in standard form and unit form are: 15, 152, 102, 290, 300

Explanation:

In standard form, the numbers would be expressed as:

a. 15 = 1 × 10 + 5 × 1

b. 152 = 1 × 100 + 5 × 10 + 2 × 1

c. 102 = 1 × 100 + 2 × 1

d. 290 = 2 × 100 + 9 × 10 + 0 × 1

e. 300 = 3 × 100 + 0 × 10 + 0 × 1

In unit form, the numbers would be expressed as:

a. 15 = 1 ten and 5 ones

b. 152 = 1 hundred, 5 tens, and 2 ones

c. 102 = 1 hundred, 2 ones

d. 290 = 2 hundreds, 9 tens, and 0 ones

e. 300 = 3 hundreds and 0 ones

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Answer:

a. y = 1.5x

Step-by-step explanation:

Both equations are equations of a line. All options have the form:

y = a*x

where y and x are the variables and a is the slope.

The slope of the equation corresponding to machine B is less than the machine A's slope (machine A line is above machine B line). The only option in which the slope is less than 3 is y = 1.5*x.

Answer:

The number of tickets bought is 1000 adults tickets and 700 children were present  

Explanation:

Let the number of children and adults present in the circus be x and y respectively

According to question,

Then, x + y = 1700  ……………..equation (1)

And, cost of ticket to circus for children and adult be 19, 42 respectively

Totalcost of ticket;

for adults = 42y; for children = 19x

19x + 42y = 55300  …………………equation (2)

Multiplying equation (1) by 19

19x + 19y = 32300  ……………… eqn (3)

Subtracting equation 1 and 3, we get

23y = 23000

y = 1000

putting this value in eq (1), we get x = 700

Therefore, 1000 adults and 700 children were present.

y = -8 and x = -1 are the answers

Answer:

Step-by-step explanation:

I'm going to assume that you accidentally missed a set of parentheses and that the expression is

Raise 2, , and  to the third power:

When a variable raised to a power is raised to another power, the exponents are multiplied:

Negative powers are the positive power in the denominator:

Therefore, the answer is the second option.

Final answer:

The simplified form of the given mathematical expression (3/2b^4)^3 is 27/8b^12.

Explanation:

The simplified form of each expression (3/2b^4)^3 is calculated by cubing both the numerator and the denominator. Firstly, 3^3 gives 27, and then (2b^4)^3 simplifies to 8b^12. So the final answer is 27/8b^12. This means, out of the given options, the correct one is Option 1: 27/8b^12.

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