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3 years ago

What is the common difference for this arithmetic sequence? 45, 40, 35, 30, 25, ...

Mathematics

2 answers:

FromTheMoon [43]3 years ago

5 0

It goes down by 5. -5 would also be another way of saying that.

siniylev [52]3 years ago

4 0

It goes down by 5 each number.

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Help! I'm so confused

sweet-ann [11.9K]

An integer is like a whole number (28 is an integer).
Irrational means the decimal goes on forever.......and cannot be written as a fraction (0.9857... is irrational).
A number that is not real is the squareroot of a negative, or something times i, or dividing by zero (5/0 is unreal).
A rational number can be written as a fraction (like 8 and 1/7).

5 0

3 years ago

You sell apple cider for a fundraiser. For each gallon of cider you sell, the company that makes the cider receives $x$ dollars,

pav-90 [236]

Answer: You receive 14x+45 dollars for each gallon of cider that you sell.

Step-by-step explanation:

Given: For selling each gallon of cider, the company receives x dollars.

You receive = Remaining amount

i.e. You receive $(Selling price - x)

By selling 15 gallons in 15x+45 dollars, you have received (15x+45)-x dollars

i.e. You received 15x+45-x dollars

i.e. You received 14x+45 dollars.

Hence, you receive 14x+45 dollars for each gallon of cider that you sell.

7 0

2 years ago

Write any 4 laws of exponents.<br>

emmainna [20.7K]

$\rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}$

<em>Write any 4 laws, or properties, of exponents.</em>

<em />

<em> </em> $\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}$

$\Large\text{Law number 1:-}$

$\Large\text{$a^n*a^m=a^{n+m}$}$

$\Large\text{It states that:-}$

When we multiply together numbers with the same base,

we add the exponents.

$\Large\text{Law number 2:-}$

$\Large\text{$a^m:a^n=a^{m-n}$}$

$\Large\text{It states that:-}$

When we divide numbers with the same base, we

subtract the exponents.

$\Large\text{Law number 3:-}$

$\Large\text{$(\displaystyle\frac{x}{y}) ^n=\frac{x^n}{y^n}$}$

$\Large\text{It states that:-}$

If we have a fraction to a power, we raise the numerator and

the denominator to that power.

And then last but not least,

$\Large\textit{Law number 4:-}$

$\Large\text{$a^{-m} =\displaystyle\frac{1}{a^m}$}$

$\Large\text{It states that:-}$

If we have a number with a negative exponent, we flip it over.

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

$\rule{50}{1}\smile\smile\smile\smile\smile\smile\rule{50}{1}$

6 0

2 years ago

Read 2 more answers

Which function could be represented by the graph on the coordinate plane?

spin [16.1K]

Answer:

$\boxed{f(x)=(x-8)^2-6}$

Step-by-step explanation:

The graph in the attachment is a quadratic function whose vertex is in the fourth quadrant.

The coordinates of a point in the fourth quadrant is of the form $(x,-y)$

Considering the options, the vertex must have coordinates $(h,k)=(8,-6)$ and $a=1$ .

The quadratic function in vertex form is written as;

$f(x)=a(x-h)^2+k$

Therefore the equation of the quadratic function is;

$f(x)=(x-8)^2-6$

The correct answer is option D

8 0

3 years ago

Find the value of x and y in parallelogram WXYZ.

navik [9.2K]

Answer:

x = 13, y = 7

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, thus

x - 7 = 6 ( add 7 to both sides )

x = 13

and

2y - 6 = 8 ( add 6 to both sides )

2y = 14 ( divide both sides by 2 )

y = 7

3 0

2 years ago