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3 years ago

What is the slopeof the function x=(-4) y=(-2)

Mathematics

2 answers:

rusak2 [61]3 years ago

6 0

Answer:

-4

Step-by-step explanation:

gayaneshka [121]3 years ago

3 0

Answer: The answer is -4. Hope this helps!

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

A drawer contains white socks and black socks only.

crimeas [40]

Answer:

36 black socks

Step-by-step explanation:

white socks: black socks

1 :3

We have 12 white socks so we multiply each term by 12

1*12 : 3*12

12:36

We have 36 black socks

5 0

3 years ago

Determine the implied domain of the following function. Express your answer in interval notation.

Mandarinka [93]

Answer:

(-♾, ♾)

Step-by-step explanation:

A quadratic can accept any real x value. So the domain is All Real Numbers. This in interval notation is

(-♾, ♾)

This is read as negative infinity to positive infinity

6 0

2 years ago

Violet used 4 scoops of sugar to make 26cups of lemonade.How many scoops of sugar would violate need to use if she made 234 cups

alisha [4.7K]

Answer:

Violet used 4 scoops of sugar and mixed it with 26 cups of lemonade and if it makes 234 cups of lemonade then there is 208. 26 scoops of sugar would violate the cups of lemonade.

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Find the inverse of each function.<br> g(n) = 2n+6/7

bulgar [2K]

Answer- 7n-6/2

Step by step explanation-

solution,

here

Given,

g(n)=2n+6/7

Let g(n) be y

So,

Interchanging the position of n and y we get the reverse So,

n = 2y+6/7

or, 7n = 2y+6

or, 7n-6 = 2y

or, 7n-6/2 = y

Therefore the inverse function of g(n) is 7n-6/2

Thank you.

6 0

3 years ago