Which of the following accurately compares the functions,f(x)=3x^2 and g(x)=1/4(3(x+4))^2+6?

after two years on the job, an engineer salary was $60,000. after seven years on the job, her salary was $66,000. let y represen

galina1969 [7]

Answer: y = 1200m + 57,600

Step-by-step explanation: To be a line, let's say that x is the numbers of years on the job and y the salary.

So, we have (2,60000) and (7,66000)

y = mx + b

66000 = 7m + b

60000 = 2m + b (-)

________________________

6000 = 5m

m = 6000/5 = 1200

60000 = 2m + b

60000 = 2.1200 + b

60000 = 2400 + b

b = 60000 - 2400

b = 57600

y = mx + b

y = 1200m + 57,600

8 0

3 years ago

Pirate Jack has an equal number of gold and silver coins. If Pirate Jack splits all of his coins into 7 equal piles for his parr

Tcecarenko [31]

Answer:

The least possible number of coins the Pirate has = 81

Step-by-step explanation:

Given:

Pirate Jack has equal number of gold and silver coins.

When the pirate splits the coins into 7 equal piles he has 4 coins left.

When the pirate splits the coins into 11 equal piles he has 4 coins left.

Every pile has at least 1 coin.

To find the least possible number of coins Pirate Jack has.

Solution:

In order to find the least possible number of coins pirate Jack has, we must find the least common multiple of the number of piles the coins are split into.

So, the least common multiple of 7 and 11 can be found by listing the multiples.

$7= 7,14,21,28...............,77$

$11=11,22,33,44,55,66,77$

So, we find the least common multiple of 7 and 11 is 77.

Number of coins left = 4

Total number of coins the pirate must have = $77+4 =81$

We can check the answer by dividing 81 by 7 and 11. I both cases we get remainder = 4.

So, the least possible number of coins the pirate has = 81

6 0

4 years ago

2. A boy and his father played 26 games of checkers. For every game the boy lost, he gave his father 5 cents. For every game the

trasher [3.6K]

Answer: the boy won 10 games

Step-by-step explanation:

Let's call B as the number of games won by the boy, and F as the number of games won by the father.

We know that, there is a total of 26 games:

B + F = 26.

We know that in each game won by the boy, he wins 8 cents, for every game that the father wins, the boy losses 5 cents, and we know that at the end of the 26 games, the boy did not win or lose any money, so we have:

B*8 + F*(-5) = 0.

Then we have a system of equations:

B + F = 26

8*B - 5*F = 0.

The first step is isolating one of the variables. Let's start isolating F in the first equation:

B + F = 26

F = 26 - B.

Now we can replace this in the second equation:

8*B - 5*F = 0

8*B - 5*(26 - B) = 0

8*B + 5*B - 5*26 = 0

13*B = 5*26

B = 5*26/13 = 5*2 = 10

So the boy won 10 games (then the father won the other 16 games)

7 0

3 years ago

Convert the rate of 24 in/sec to an equivalent rate measured in ft/sec

motikmotik

2 feet in a second 12 inches in a foot

6 0

3 years ago

8/5 ×4 5/7 so how much fruit do I have all together

Deffense [45]

7.5 is the rounded amount. So about seven and a half pieces.

6 0

3 years ago

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