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
Andrew [12]
3 years ago
6

Find the values of t6 and d for the arithmetic sequence with t6= 4 and t10= -4​

Mathematics
2 answers:
algol133 years ago
7 0

Answer:

t1 = 14  d= -2

Step-by-step explanation:

tn = t1 + d ( n-1)

t6 = t1 + d(6-1)

4 = t1+ 5d

t10 = t1 +d (10-1)

-4 = t1 +d9

Take the two equations and subtract to eliminate a1

4 = t1+ 5d

- (-4 = t1 +d9)

-------------------------

4 = t1+ 5d

+4 =- t1 -d9

-------------------------

8  =   -4d

Divide each side by -4

8/-4 = -4d/-4

-2 =d

Now we can find t1

4 = t1+ 5d

4 = t1 + 5(-2)

4 = t1 -10

Add 10 to each side

4+10 = t1

14 = t1

brilliants [131]3 years ago
6 0

Answer:

A

Step-by-step explanation:

t1 = a

tn = a + (n-1)d

t6 = a + 5d = 4

a = 4 - 5d

t10 = a + 9d = -4

4 - 5d + 9d = -4

-8 = 4d

d = -2

a = 4 - 5(-2)

= 4 + 10

= 14

You might be interested in
What are the coordinates of A’, the image of A(-7, 9), after a rotation of -180° about the origin?
Dmitry_Shevchenko [17]

Answer:

7,-9

Step-by-step explanation:

4 0
3 years ago
Jeremiah lives in New York City and takes a taxi almost everywhere he goes. In order to calculate the price of his taxi ride,
ohaa [14]

Answer: 2.50 is the fee he must pay before the taxi takes him anywhere

Step-by-step explanation: since it is an add on, and it is not multiplied by the variable, we know this is a one time expense, meaning it is the base charge.

The answer is A

4 0
3 years ago
A jewelry box has 10 items. Of those, half are necklaces. Two-fifths of the others are bracelets. The rest are rings. How many r
Zielflug [23.3K]

Answer:

3 rings

Step-by-step explanation:

10 / 2 = 5 necklaces

(5/5) x 2 = 2 bracelets

10 - 5 - 2 = 3<u> rings</u>

3 0
3 years ago
Read 2 more answers
PLEASE HELP FAST!!!! 40 POINTS!!!!!!
dimulka [17.4K]
Commutative property of addition
5 0
3 years ago
Read 2 more answers
Arrange these functions from the greatest to the least value based on the average rate of change in the specified interval.
Romashka [77]
By definition, the average change of rate is given by:
 AVR =  \frac{f(x2)-f(x1)}{x2-x1}
 We will calculate AVR for each of the functions.
 We have then:

 f(x) = x^2 + 3x interval: [-2, 3]:
 f(-2) = x^2 + 3x  = (-2)^2 + 3(-2) = 4 - 6 = -2&#10;&#10;f(3) = x^2 + 3x = (3)^2 + 3(3) = 9 + 9 = 18
 AVR = \frac{-2-18}{-2-3}
 AVR = \frac{-20}{-5}
 AVR = 4

 f(x) = 3x - 8 interval: [4, 5]:
 f(4) = 3(4) - 8 = 12 - 8 = 4 f(5) = 3(5) - 8 = 15 - 8 = 7
 AVR = \frac{7-4}{5-4}
 AVR = \frac{3}{1}
 AVR = 3

 f(x) = x^2 - 2x interval: [-3, 4]
 f(-3) = (-3)^2 - 2(-3) = 9 + 6 = 15&#10;&#10;f(4) = (4)^2 - 2(4) = 16 - 8 = 8
 AVR = \frac{8-15}{4+3}
 AVR = \frac{-7}{7}
 AVR = -1

 f(x) = x^2 - 5 interval: [-1, 1]
 f(-1) = (-1)^2 - 5 = 1 - 5 = -4&#10;&#10;f(1) = (1)^2 - 5 = 1 - 5 = -4
 AVR = \frac{-4+4}{1+1}
 AVR = \frac{0}{2}
 AVR = 0


 Answer:
 
these functions from the greatest to the least value based on the average rate of change are:
 f(x) = x^2 + 3x
 
f(x) = 3x - 8
 
f(x) = x^2 - 5
 
f(x) = x^2 - 2x
5 0
3 years ago
Other questions:
  • 10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
    7·1 answer
  • You roll a six sided die. What is the probability of rolling a 4 or an odd number.
    10·2 answers
  • A fast-food company is interested in knowing the probability of whether a customer viewed an advertisement for their new special
    8·1 answer
  • What is 3x=15? If anybody knows
    14·2 answers
  • Use the future value formula to find the indicated value. n=27​; i=0.02​; PMT=$65​; FV=? FV=$(round to the nearest cent)
    7·1 answer
  • Find the number of positive three-digit even integers whose digits are among 9, 8, 7, 5, 3, and 1.
    9·2 answers
  • Expand the expression: 3ln2x+lnx-ln17
    8·2 answers
  • The double number line shows that Jonah needs 28 seconds to fold 2 shirts. Based on the ratio shown in the double number line, h
    14·2 answers
  • How do i start brainly
    12·1 answer
  • Please help me with this I would give you 50 points.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!