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
Deffense [45]
3 years ago
13

83 Tee (CsT Sequences and Functions

Mathematics
1 answer:
NISA [10]3 years ago
3 0

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x                        y

1                         4

2                        -5

3                        -14

4                        -23

5                         -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

You might be interested in
A certain plant runs three shifts per day. Of all the items produced by the plant, 50% of them are produced on the first shift,
Snezhnost [94]

Answer:

0.2941 = 29.41% probability that it was manufactured during the first shift.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Defective

Event B: Manufactured during the first shift.

Probability of a defective item:

1% of 50%(first shift)

2% of 30%(second shift)

3% of 20%(third shift).

So

P(A) = 0.01*0.5 + 0.02*0.3 + 0.03*0.2 = 0.017

Probability of a defective item being produced on the first shift:

1% of 50%. So

P(A \cap B) = 0.01*0.5 = 0.005

What is the probability that it was manufactured during the first shift?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.005}{0.017} = 0.2941

0.2941 = 29.41% probability that it was manufactured during the first shift.

6 0
3 years ago
-2+9=-2(x+3)+8<br> Is this Infinitely Many Solutions<br> No solutions<br> Or One solutions
Margarita [4]

Answer:

i think it is many but i am not sure

Step-by-step explanation:

3 0
4 years ago
lily pads increase by 25% very 10days. if a pond starts 22 lilly pads, how many will there be after 50 days
Mars2501 [29]

Step-by-step explanation:

This is an exponential increase. As represented in the picture, approximately 77 lilly pads will be produced after 50 days when there is initial of 22.

7 0
2 years ago
Can someone help with geometry?
grin007 [14]

Answer:

SSS

Step-by-step explanation:

bc all the sides are congruent.

6 0
3 years ago
PLEASE PLEASE PLEASE HELP!!
Marta_Voda [28]
Okay I'll try to show it step by step

Step 1. So first you need to recognise that the diagram is a right angled triangle, with the right angle being at the bottom. This means we can do Pythagoras' Theorem.

Step 2. Now that you know you can use Pythagoras' Theorem, you can apply it. If you don't know, the theorem is a² + b² = c², with, in this case, a being 5 and b being 8. This means we can do 5² + 8² = 25 + 64 = 89.

Step 3. From the previous step, we now know that the length of the side including x is √89, and because we know that part of this side is 3, if we subtract 3 from √89 we get the value of x, so: √89 - 3 = 9.434 - 3 = 6.434, which is your answer.

I hope this helps!
5 0
3 years ago
Other questions:
  • The entrance ramp to an arena rises 4.5 feet for every 50 feet of horizontal distance it covers. What is the slope of the ramp ?
    8·2 answers
  • Help please ASAP!!!!!!!!
    15·2 answers
  • Louisa has 4 yards of fabric. She uses 2/5 yard of fabric to make a doll dress. How many doll dresses can Louisa make with the f
    12·1 answer
  • Morty buys and sells computer parts
    7·1 answer
  • A study was done on the timeliness of flights (on-time vs. delayed) of two major airlines: StatsAir and AirMedian. Data were col
    13·1 answer
  • Math help please I need it ASAP
    11·1 answer
  • Line segment BD bisects &lt; CBE, line segment BD bisects
    9·1 answer
  • If f(x)=x^2+2x+1<br> Find f^1 (x)
    8·1 answer
  • There is 300 fruit in a basket 50 of them are bananas what percentage is not bananas
    15·2 answers
  • Jason's new business will start making a profit when he sells more than 20 items. Which graph best represents this situation?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!