All categories

3 years ago

Find the common difference of the arithmetic sequence -5, -14, -23, ...

Mathematics

2 answers:

BartSMP [9]3 years ago

5 0

Answer:

-9

Step-by-step explanation:

Given :-

A Arithmetic sequence -5 , -14 , -23 ...

And we need to find out the common difference of the Arithmetic sequence . The common difference of a Arithmetic sequence is the number which is added to a term to obtain the next term of the sequence . And it can be obtained by subtracting the consecutive terms.

Sequence :-

$:\implies$ -5 , -14 , -23

Common difference :-

$:\implies$ CD = -14 -(-5) = -14+5=-9

$:\implies$ CD = -23-(-14) = -23+14=-9

Hence the common difference is (-9) .

Vlada [557]3 years ago

4 0

-9 is the right answer I hope you do great

You might be interested in

Jeff, bill and Bernard are the three wealthiest people in the word. They share 80billion in the ratio 4:3:1 how much does bill g

Mumz [18]

Answer:

answer

Step-by-step explanation:

step by step explanation

8 0

3 years ago

f(x)=x^2; vertical shrink by a factor of 1/2 and a reflection in the y-axis, followed by a translation 1 unit down

NeX [460]

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down

is g(x) = $\frac{1}{2}$ x² - 1

Step-by-step explanation:

Lets revise:

1. The vertical shrink

A vertical shrinking is the squeezing of the graph toward the x-axis.

if 0 < k < 1 (a fraction), the graph of y = k•f(x) is the graph of f(x) vertically

shrunk by multiplying each of its y-coordinates by k

2. The reflection

If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

3. Vertical translation

If the function f(x) translated vertically up by m units, then its image

is g(x) = f(x) + m

If the function f(x) translated vertically down by m units, then its image

is g(x) = f(x) - m

Now let us solve the problem

∵ f(x) = x²

∵ f(x) shrunk by a factor of $\frac{1}{2}$

∴ The image of f(x) = $\frac{1}{2}$ x²

∵ The image of f(x) reflected across y-axis

∴ The sign of x will change

∴ The new image of f(x) = $\frac{1}{2}$ (-x)²

∵ The new image of f(x) translated 1 unit down

∴ We will subtract the new image of f(x) by 1

∴ The last image of f(x) is g(x) = $\frac{1}{2}$ (-x)² - 1

V.I.Note:

(-x)² = x² because even exponents reject the negative sign

The image of the function f(x) after vertical shrink by a factor of 1/2

and a reflection in the y-axis, followed by a translation 1 unit down

is g(x) = $\frac{1}{2}$ x² - 1

The attached graph for more understand

Learn more:

you can learn more about transformation in brainly.com/question/2415963

#LearnwithBrainly

4 0

3 years ago

Justin owns a food truck that sells tacos and burritos. He only has enough supplies to

vfiekz [6]

Answer:

The solution in the attached figure

One possible solution is the point (30,60)

Step-by-step explanation:

Let

x -----> represents the number of tacos sold

y -----> represents the number of burritos sold

we know that

------> inequality A

-----> inequality B

using a graphing tool

The solution is the triangular shaded area

see the attached figure

One possible solution is the point (30,60)

Remember that if a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area of the solution

That means----> The number of tacos sold is 30 and the number of burritos sold

Verify

Substitute the value of x and the value of y in each inequality

Inequality A

----> is true

Inequality B

----> is true

The ordered pair satisfy both inequalities, then the ordered pair is a solution of the system

Read more on Brainly.com - brainly.com/question/13301815#readmore

Step-by-step explanation:

3 0

3 years ago

A salesperson earns a commission based on the number and type of vehicle sold. A person selling 6 cars and 3 trucks earns $4,800

madam [21]

4800 divide by 3=1600 (2 cars 1 truck)

4600-1600-3000 (6 cars)

3000 divide by 3 = 1000(2cars)

1000 times 2=2000(4 cars )

4800-2000-2800 (2 cars 3 trucks)

$2,800 is your answer

8 0

2 years ago

WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!! (image attatched)

alexgriva [62]

The answer would be the first one

4 0

3 years ago