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
Levart [38]
3 years ago
14

Find g(x) if it is known that g(2t)=8t−1.

Mathematics
1 answer:
kirill115 [55]3 years ago
6 0

Answer:

g(x) = 4x - 1

Step-by-step explanation:

Linear function in the format: g(x) = ax + b

g(2t) is a*(2t)+b

g(2t) = 8t - 1 means that:

when x = 2t, g = 8t - 1.

So

Equaling both sides

8t - 1 = a*2t + b

So

b = -1,

and

2a = 8, a = 8/2, a = 4

So

g(x) = 4x - 1

You might be interested in
What is the least common multiple of 10 and 15?
Gala2k [10]

Answer:

30

Step-by-step explanation:

15x2=30

10x3=30

5 0
2 years ago
Read 2 more answers
Niccola travels at an average speed of 40 mph for 50 miles.
sweet [91]

Answer:

36.67 [mile/hour].

Step-by-step explanation:

1) use the formula: V=S/t, where S - entire jorney, v - average speed (required to calculate), t - elapsed entire time.

2) according to the formula above S=50+60=110 miles; t= 50/40 + 1.75=1.25+1.75=3 hours.

3) after the substitutuion  110 and 3 into the formula above:

v=110/3≈36.67 miles/h.

7 0
2 years ago
Which function below represents the arithmetic sequence 3, 7, 11, 15...?
mr Goodwill [35]
D) f(n) = 3 + 4(n-1)

3 = 1st term
4 = common difference among the terms
n = term number you are looking for.

To check: 3, 7, 11, 15, ...

f(1) = 3 + 4(1-1) = 3 + 4(0) = 3 + 0 = 3
f(2) = 3 + 4(2-1) = 3 + 4(1) = 3 + 4 = 7
f(3) = 3 + 4(3-1) = 3 + 4(2) = 3 + 8 = 11
f(4) = 3 + 4(4-1) = 3 + 4(3) = 3 + 12 = 15
4 0
3 years ago
Read 2 more answers
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) =
AlexFokin [52]

Answer:

cost of producing the 501st item = $9.92

Step-by-step explanation:

The function representing the cost is given by;

C(x) = 10000 + 90x - 0.08x²

To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.

Thus;

C(500) = 10000 + 90(500) - 0.08(500)²

C(500) = 10000 + 45000 - 20000

C(500) = $35000

Similarly;

C(501) = 10000 + 90(501) - 0.08(501)²

C(501) = 10000 + 45090 - 20080.08

C(501) = $35009.92

cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92

3 0
2 years ago
8.) Plot its cost function
ss7ja [257]
The attached shows the two plots. The break-even points are near
  x = 21
  x = 256

5 0
3 years ago
Read 2 more answers
Other questions:
  • Anyone know the answer
    15·1 answer
  • Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal plac
    7·1 answer
  • write the 2 digit numbers that matches the clues my number has tens digit that 8 more that one's digit. zero is not one my digit
    12·1 answer
  • What is 8 (x+y) - 4 (x-y) ?
    15·1 answer
  • The number of employees for a certain company has been decreasing each year by 7​%. If the company currently has 790 employees a
    6·1 answer
  • Help me please i dont understand
    5·1 answer
  • In Zachs class 3/5 of the 25 students are boys. How many boys are in Zachs class?
    13·1 answer
  • What does "The product of n and 6 is subtracted from five-sixths of b" mean​
    14·1 answer
  • What is the simplified form of the following expression? 8ab/-4b
    7·1 answer
  • The ratio of peanuts to almonds in a snack mix is 24 to 15. Simplify the ratio.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!