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
svetlana [45]
2 years ago
5

the 43rd term of an arithmetic sequence is -671 and the 52nd term is -806. find the first term and the common difference.

Mathematics
1 answer:
Bond [772]2 years ago
3 0

Answer:

First term = -41.

Common difference = -15.

Step-by-step explanation:

nth term: an = a1 + (n - 1)d  where a = first term and d = the common difference.

-671 = a1 + (43 - 1)d

-806 = a1 +(52 - 1)d

-671  = a1 + 42d

-806 = a1 + 51d

Subtracting ( to eliminate a1):

-671 - (-806) = 42d - 51d

-9d =  135

d = -15

Substitute for d in the first equation:

-671 = a1 + 42*-15

-671 = a1 - 630

a1 = -671 + 630 = -41.

You might be interested in
Oh and alsoo can someone plzzzzz add an explanation
Pani-rosa [81]

Answer:

Brian sold 35 tickets

Step-by-step explanation:

42/6 = 7

7 x 5 = 35

35/42 = 5/6

Brian sold 35 tickets

(I know this isn't part of the question, but Brain didn't sell 7 tickets)

5 0
3 years ago
Tempestt graphs a function that has a maximum located at (-4, 2). Which could be her graph?
son4ous [18]

Answer:

Here's what I get  

Step-by-step explanation:

Assume the function is a parabola.

The function has a maximum, so the parabola opens downward.

The maximum is at (-4,2), so the maximum is in the second quadrant.

The figure may look like the diagram below.

3 0
3 years ago
Why is 3.3 > 3.2999 please can any explain
photoshop1234 [79]

Answer:

Step-by-step explanation: its cuz 3.3 is a equal to 3.30000 so 3.2999 would be less than it as it is just becoming smaller and smaller but whilst still staying the same number so 3.3000000=3.3 just like 3.29999999=3.29 all it is, is the repeating function in decimals.

5 0
2 years ago
A train car has 23 rows that hold 4 seats each. If 3 train cars are coupled together, how many people can the train hold?
Ksju [112]
I believe the answer is 92 people
4 0
2 years ago
Read 2 more answers
Please show your work
White raven [17]

Let a,b & c be the number of cookies Adrian, Bobby and Calvin baked respectively.

(a+b+c)/3 =138

(a+b)/2 =136

a+b=272

a=272-b

(b+c)/2 =125

b+c=250

c=250-b

Sub a=272-b and c=250-b into (a+b+c)/3 =138,

(a+b+c)/3 =138

[(272-b)+b+(250-b)]/3 = 138

272-b+b+250-b = 414

-b = -108

b=108

From the above,

a=272-b

=272-108

a=164

c=250-b

=250-108

c=142

∵ a=164

b=108

c=142

∴ Adrian baked 164 cookies.

Bobby baked 108 cookies.

Calvin baked 142 cookies.

3 0
3 years ago
Other questions:
  • A cost regularly priced at $188 is on sale for 25% off . What is the sale price ?
    8·2 answers
  • Caleb works 15 hours per week mowing lawns in his neighborhood during summer vacation. He earns $7.50 per hour. If summer vacati
    11·2 answers
  • The graph below shows the price of different numbers of hats at a store:
    13·1 answer
  • Draw a bar model that shows a pen is 4 times as long as an araser is 1 1/3
    8·1 answer
  • If f(a) = b, find f^-1(b)
    12·1 answer
  • Find the x-intercept(s) and the coordinates of the vertex for the parabola.
    6·1 answer
  • Which is the solution of x/5 - 10 = 20?
    8·2 answers
  • Um. i just need help with this! so if anyone knows help me plz <3
    12·2 answers
  • Someone check if this is right. And stop sending z.oom codes in my questions
    7·1 answer
  • the time required to assemble computers varies directly as the number of computers assembled and inversely as the number of work
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!