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3 years ago

12, 6, 0, -6, What is the common difference in the following arithmetic sequence

Mathematics

2 answers:

iren [92.7K]3 years ago

5 0

Answer:

every step you subtract 6 so the common difference is -6

ivanzaharov [21]3 years ago

3 0

Answer:

-6

Step-by-step explanation:

In an arithmetic sequence, the common difference is the difference between each number in the sequence.

In this sequence, the common difference is -6 because from left to right, we can see that the numbers decrease by 6 each time.

For example, 12 - 6 = 6.

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Write a formula for a line that passes through the point (x,y) = (-3,5) and has an undefinedslopes.

Vladimir [108]

A line with undefined slope has an equation x=a.

So, for a line that passes through the point (x,y) = (-3,5) ,

has the equation x= - 3.

5 0

3 years ago

A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What

Rina8888 [55]

Set up a proportion:

6 feet over 11 feet long equals x feet over 33 feet long

6/11 = x/33

198 = 11x

x = 18

The height of the tree is 18 feet tall

8 0

3 years ago

Read 2 more answers

F(x)= 5x^2+6, g(x)= 7x find (f o g)(x), find (g o f)(x), find f(g(-4)), fine g(f(5))

KiRa [710]

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Step-by-step explanation:

Given

$f(x) = 5x^2+6\\g(x) = 7x$

$(f o g)(x) = 5(7x)^2+6\\= 5(49x^2)+6\\=245x^2+6\\(g o f)(x) = 7(5x^2+6)\\= 35x^2+42\\(fog(x))=245x^2+6f(g(-4)) = 245(-4)^2+6 \\=245(16)+6\\=3920+6\\=3926\\g(f(x)) = 35x^2+42\\g(f(5)) = 35(5)^2+42\\=35(25)+42\\=875+42\\=917$

Hence,

$(f o g)(x) = 245x^2+6\\(g o f)(x) = 5x^2+42\\ f(g(-4)) = 3926\\g(f(5)) = 917$

Keywords: functions, Function composition

Learn more about functions at:

#LearnwithBrainly

7 0

3 years ago

2.When I walked into King Soopers yesterday, I noticed that the Colorado Rockies t-shirts had a sign reading “25% off sale!”. If

daser333 [38]

Given:

The discount is 25%.

The selling price of the shirt after the sale is $20.99.

To find:

The selling price of the shirt before the sl;e

Explanation:

Let the old price be x.

The equation can be framed as follows,

$\begin{gathered} (\frac{100-25}{100})\times x=20.99 \\ \frac{75}{100}\times x=20.99 \\ x=20.99\times\frac{100}{75} \\ x=27.986 \\ x\approx27.99 \end{gathered}$

Final answer:

The selling price of the shirt before the sale is $27.99.

4 0

1 year ago

How do you do this question?

ohaa [14]

Step-by-step explanation:

The marginal totals are the sum of each row and column.

For example, the total number of sophomores is 120 + 302 = 422.

See picture of table with marginal totals filled in.

3 0

3 years ago