How does -1 to the 6th power equal -1? shouldn't it be positive?

Answers

Answer 1

Answer: $(-1)^6=1\n-1^6=-1$

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A taxi service charges an inital fee of $3 plus $1.80 per mile.how far can you travel on $12

Answers

1.80x + 3 = 12

isolate the x

1.80x + 3 (-3) = 12 (-3)

1.80x = 9

1.80x/1.80 = 9/1.80

x = 9/1.80

x = 5

you can travel up to 5 miles

hope this helps

m= # of miles

$12 < $3 + $1.80m
subtract 3 from both sides
9 < 1.80m
divide both sides by 1.80
5 < m

ANSWER: They can travel 5 miles on $12.

Hope this helps! :)

There were 88 vendors at the craft fair. They needed to set up an equal number in each of the rows and needed 4 flags to mark each row. How many rows and flags were needed?

Answers

Answer:

22 rows and 22 flags are needed

Step-by-step explanation:

Total number of vendors = 88

Existing number of rows and flags= 4

Number of rows and flags needed= 88/4 =22

Answer:

4rows and 16flags

Step-by-step explanation:

Since there were 88 vendors at the craft fair and 4flags on each rows. To set up equal number of vendors on each row, we will use the expression;

Number of vendors per row = Total number of vendors/total number of flags per row = 88/4 = 22 vendors

If there are 22 vendors in a rows and there are 88vendors in total, the total of rows will be;

Total number of vendors/number of vendors per row

= 88/22

= 4 rows

If there are four rows in total and 4flags in each row, the total of flags needed will be;

Total number of row × total flag per row

= 4×4

= 16flags

This shows that there are 4rows and 16flags were needed.

Two possible factors for the estimated product of 2800

Answers

100 and 28.

Explanation

Factors are number that you can multiply to give a certain number.

For example, 2 × 3 = 6. In this case 2 and 3 are factors of 6.

∴ To get the factors of 2800, we have to find numbers that you can multiply to give you 2800.

2800 / 2 = 1400

∴ 2 × 1400 = 2800. ⇒ 2 and 1400 are factors of 2800.

2800/100 = 28

∴ 100 × 28 = 2800 ⇒ 100 and 28 are also factors of 2800. 2800 have many factors but two of them are 100 and 28.

28x100
280x10

That's the answer

Y varies directly with X. if y = y when X= -4, find the constant of of proportionality

Answers

y = kx
6=k(-4)
6/-4 = k
-3/2 = k

The graph of a function never has two different points with the same x-coordinate because.. A. the graph of a function cannot be a straight line. B. each input value is mapped to a single output value. C. each input value is mapped to more than one output value. D. the graph of a function is a vertical line.

Answers

The best answer to the question that is being stated above would be letter B. The graph of a function never has two different points with the same x-coordinate because the input value of each of the points is mapped to a single output value in the graph.

Answer: The correct reason is (B) each input value is mapped to a single output value.

Step-by-step explanation: The given statement is:

"The graph of a function never has two different points with the same x-coordinate."

We are to select the correct reason for the above statement.

The definition of a FUNCTION is as follows:

In simple language, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That is, if y = f(x) is a function of a variable 'x', then we have

$x_1=x_2~~~~\Rightarrow f(x_1)=f(x_2).$

(A) The first statement is "the graph of a function cannot be a straight line."

The statement is false. For example, let us consider y = x + 2. Obviously, it is a function because every value of 'x' will result in only one value of 'y'.

Also, the graph here will be a straight line as shown in the attached figure (1).

(B) The first statement is "each input value is mapped to a single output value."

The statement is true according to the definition of a function.

(C) The third statement is "each input value is mapped to more than one output value."

The statement is false by the definition of a function.

(D) The fourth statement is "the graph of a function is a vertical line."

The statement is false. For example, if we consider the vertical line x = 2. Then, we see from the attached figure (2) that the points (x, y) = (2, 1), (2, 0), (2, 3), etc. all lie on the line.

This shows that one input value leads to infinitely many values of 'y'. Hence, this vertical line cannot be the graph of a function.

Thus, (B) is the correct statement.

There are 100 pennies in a dollar what fraction of a dollar is 61 pennies write it as a fraction , as a decimal and in word form

Answers

fraction decimal word form
61/100 0.61 61 out of 100

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