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3 years ago

The table shows values for functions f(x) and g(x) .

Mathematics

1 answer:

Ad libitum [116K]3 years ago

4 0

Answer:

1, 9

Step-by-step explanation:

You're looking for the values of x where f(x) = g(x). Find the matching f(x) and g(x) values in the table. The value of x on that line is one of the solutions.

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11.49 for 3 packages

alexandr402 [8]

Answer: $3.83 per package

Step-by-step explanation:

Simply you need to use division

Divide 11.49 by 3

11.49/3

To which you will get

$3.83

4 0

3 years ago

A text font fits 12 characters per inch using the same font how many catchers can be expected per yard of text

rodikova [14]

Answer:

432 characters

Step-by-step explanation:

There are 3 feet in a yard which means there are 36 inches in a yard since one foot is equal to 12 inches. Each inch contains 12 characters so you would multiply 36 by 12 to get 432.

7 0

3 years ago

This table shows a linear relationship. x: 6 12 18 24 30 y: 252 504 756 1008 1260 Based on the information in this table, which

Anton [14]

Answer:

The difference between value of y at x=11 is 385, the correct option is third.

Step-by-step explanation:

The difference between value of y at x=11 is 385, the correct option is third.

The equation of a line which passing through two points is given below,

The two points from the table are (3,240) and (4,320), the equation is,

Put x=11

Therefore according to the table the value of y is 880 at x=11.

The two points from the table are (2,90) and (4,180), the equation is,

Put x=11,

Therefore according to the table the value of y is 495 at x=11.

The difference between the values of y at x=11 is,

Therefore third option is correct.

3 0

2 years ago

A bacteria culture starts with 12,000 bacteria and the number doubles every 50 minutes.

Vlada [557]

Answer:

a) $y=12000(2)^{\frac{t}{50}}$

b) Approx. 27,569 bacteria

c) About 103 minutes

Step-by-step explanation:

This will follow exponential modelling with form of equation shown below:

$y=Ab^{\frac{t}{n}}$

Where

A is the initial amount (here, 12000)

b is the growth factor (double, so growth factor is "2")

n is the number of minutes in which it doubles, so n = 50

Substituting, we get our formula:

$y=Ab^{\frac{t}{n}}\\y=12000(2)^{\frac{t}{50}}$

To get number of bacteria after 1 hour, we have to plug in the time into "t" of the formula we wrote earlier.

Remember, t is in minutes, so

1 hour = 60 minutes

t = 60

Substituting, we get:

$y=12000(2)^{\frac{t}{50}}\\y=12000(2)^{\frac{60}{50}}\\y=12000(2)^{\frac{6}{5}}\\y=27,568.76$

The number of bacteria after 1 hour would approximate be 27,569 bacteria

To get TIME to go to 50,000 bacteria, we will substitute 50,000 into "y" of the equation and solve the equation using natural logarithms to get t. Shown below:

$y=12000(2)^{\frac{t}{50}}\\50,000=12,000(2)^{\frac{t}{50}}\\4.17=2^{\frac{t}{50}}\\Ln(4.17)=Ln(2^{\frac{t}{50}})\\Ln(4.17)=\frac{t}{50}*Ln(2)\\\frac{t}{50}=\frac{Ln(4.17)}{Ln(2)}\\\frac{t}{50}=2.06\\t=103$

After about 103 minutes, there will be 50,000 bacteria

4 0

3 years ago

HELP ASAP PLEASE!!!!!

kiruha [24]

I think the answer is (6,-4)

5 0

3 years ago

Read 2 more answers