1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kogti [31]
3 years ago
10

Use the graph to write the explicit rule of the arithmetic sequence.

Mathematics
1 answer:
Igoryamba3 years ago
6 0

Answer:

f_n=7+\left(-2\right)\left(n-1\right)

Therefore, option C is true.

Step-by-step explanation:

From the graph, we get the sequence

7, 5, 3, 1, ...

Here,

a₁ = 7 is the first element.

An arithmetic sequence has a constant difference 'd' and is defined by  

f_n=a_1+\left(n-1\right)d

computing the differences of all the adjacent terms

5-7=-2,\:\quad \:3-5=-2,\:\quad \:1-3=-2

The difference between all the adjacent terms is the same and equal to

d=-2

substituting a₁ = 7 and d = -2 in the nth term of the sequence

f_n=a_1+\left(n-1\right)d

f_n=7+\left(-2\right)\left(n-1\right)

Therefore, option C is true.

You might be interested in
Work on Screenshot i got this one wrong when i first tried it
adell [148]
The answer to your question is 30
3 0
3 years ago
An automobile engineer is redesigning a conical chamber that was originally specified to be 12 inches long with a circular base
kirill115 [55]

Answer:

the original volume is lesser than the new volume by 242.47 in³

Step-by-step explanation:

Volume of a cone is;

V = ⅓πr²h

Where;

r is radius

h is height

For the original chamber;

r = 5.7/2 = 2.85 inches

h = 12 inches

Volume of this original chamber is;

V_orig = ⅓ × π × 2.85² × 12

V_orig = 102.02 in³

In the new design, the chamber is scaled by a factor of 1.5.

Thus;

r_new = 2.85 × 1.5 = 4.275 inches

h_new = 12 × 1.5 = 18 inches

V_new = ⅓ × π × 4.275² × 18

V_new = 344.49 inch³

V_new - V_orig = 344.49 - 102.02 =

Thus, the original volume is lesser than the new volume by 242.47 in³

6 0
3 years ago
Can u guys help me with this hw ASAP???plz
Brilliant_brown [7]
X=(3+1+2)x h. X=the total cost
H=how many kids on the math team
4 0
3 years ago
Solve the equation x^2+6x= -11/4
xxTIMURxx [149]

Answer:

Step-by-step explanation:

First, move the -11/4 to the other side, so the expression can equal 0.

x^2+6x+11/4=0

To make the equation easier to work with, multiply both sides by 4, cancelling out the fraction.

4x^2+24x+11=0

There are many ways to solve a quadratic equation (factoring, quadratic formula, completing the square).

Solving this equation by factoring is the easiest. Factoring with a leading coefficient greater than one can be difficult and there are many ways to accomplish it. The way I'm going to do it is to first find the factors of 4x^2 and then the factors of 11. And then multiply across, add the middle terms (derived from multiplying) and try to make it equal 24x.

4x^2:      24x         11:

2x         22x          11

2x           2x            1

           24x (works)

I'll then take the factors diagonal. (2x+1)(2x+11)=0

So x=-\frac{1}{2}, -\frac{11}{2}

8 0
2 years ago
Find the product write the product in simple form 2/3x6
vazorg [7]

Answer:4


Step-by-step explanation: multiply 2/3 by 6/1. You get 12/3 and simplify it is 4


6 0
3 years ago
Other questions:
  • Laura wants to show 70 in tens. How many tens will she draw? How do you know?
    8·2 answers
  • Find the product mentally.
    10·2 answers
  • How many 3-digit numbers can you write using only digits 1 and 7? (Of course, digits can repeat.) How many 3-digit numbers can y
    13·2 answers
  • 7. WILL MARK BRAINLIEST!! HELP! ​
    14·1 answer
  • Solve the following prisim
    14·1 answer
  • 2 39/40 in decimal form
    5·1 answer
  • How put a number as a percentage
    14·2 answers
  • A TV has an original price of $549 . Enter the new price after the given percent of change. 10% increase The new price is?
    8·1 answer
  • Can a scale factor change?
    8·1 answer
  • Find f(x) if it is known that f(5a)=5a-2
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!