Write a function rule that represents the sentence.
y is 2 less than the product of 3 and x
write a function rule
y = 3x - 2
Write a function rule to represent the situation.
the total cost C for g grams of lithium if each gram cost $4.98
write a function rule using C and g as variables
C = 4.98g
Write a function rule that represents the situation.
The price p of a pizza is $6.50 plus $0.90 for each of the t toppings on the pizza.
p= blank
enter your response here (Use integers or decimals for any numbers in the expresssion. Do not include the $ symbol in your answer.)
p = 6.50 + 0.90t
sound travels about 340 m/s. the funtion d(t)=340t gives the distance d(t) in meters that sound travels in t seconds how far does sound travel in 41 s
d(41)=
To find the distance sound travels in 41 seconds, we need to evaluate the function d(t) = 340t for t = 41.
d(41) = 340 * 41
d(41) = 13,940 meters
Therefore, sound travels approximately 13,940 meters in 41 seconds.
Tell whether the sequence is arithmetic. If it is, identify the common difference.
-9,-6,-3,0
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
The sequence is arithmetic and has a common difference of blank
The sequence -9, -6, -3, 0 is arithmetic.
To find the common difference, we can subtract any term from its preceding term.
-6 - (-9) = -6 + 9 = 3
-3 - (-6) = -3 + 6 = 3
0 - (-3) = 0 + 3 = 3
Since the differences between consecutive terms are all 3, the common difference is 3.
find the second, fourth, and eleventh terms of the sequence described by the rule.
A(n)=3+(n-1)(5)
A(2)=
To find the second term of the sequence, we substitute n = 2 into the formula A(n) = 3 + (n - 1)(5):
A(2) = 3 + (2 - 1)(5)
A(2) = 3 + (1)(5)
A(2) = 3 + 5
A(2) = 8
Therefore, the second term of the sequence is 8.
To find the fourth term, we substitute n = 4:
A(4) = 3 + (4 - 1)(5)
A(4) = 3 + (3)(5)
A(4) = 3 + 15
A(4) = 18
So, the fourth term of the sequence is 18.
Finally, to find the eleventh term, we substitute n = 11:
A(11) = 3 + (11 - 1)(5)
A(11) = 3 + (10)(5)
A(11) = 3 + 50
A(11) = 53
Hence, the eleventh term of the sequence is 53.
You borrow $375 from a friend the first week and pay the friend back $20 each week thereafter. Write the first six terms in the sequence. Explain what the sixth term means in the context of the situation.
Write the first six terms in the sequence.
the first term is blank
the second term is blank
the third term is blank
the fourth term is blank
the fifth term is blank
the sixth term is blank
In this sequence, the first term represents the amount borrowed in the first week, which is $375.
The second term represents the amount borrowed after the first week, which is the previous amount borrowed ($375) plus the weekly repayment ($20):
Second term = $375 + $20 = $395
The third term represents the amount borrowed after the second week, which is the previous amount borrowed ($395) plus the weekly repayment ($20):
Third term = $395 + $20 = $415
Following the same pattern, we can calculate the fourth, fifth, and sixth terms:
Fourth term = $415 + $20 = $435
Fifth term = $435 + $20 = $455
Sixth term = $455 + $20 = $475
Therefore, the first six terms in the sequence are:
First term: $375
Second term: $395
Third term: $415
Fourth term: $435
Fifth term: $455
Sixth term: $475
In the context of the situation, the sixth term represents the amount borrowed after six weeks, which indicates how much money the borrower owes to their friend after borrowing $375 and making weekly repayments of $20 for six consecutive weeks.