MATHEMATICS HIGH SCHOOL

If a number of mice living in a field triples each year. what type of function represents this pattern?A.) Exponential decay
B.) Increasing linear
C.) Exponential growth
D.) Decreasing linear

Answers

Answer 1

Answer:

Answer:

The type of function that represents this pattern is:

Option: C)

C.) Exponential growth.

Step-by-step explanation:

It is given that the number of mice living in a field triples each year.

This means that the population of mice is increasing at a constant rate i.e. 3 each year.

So, the function that represent this pattern is a exponential growth.

Also let P(t) be the function that represents the population of mice after 't' years.

Then P(t) is modeled as:

$P(t)=3^tP_0$

where $P_0$ is the initial population of the mice.

Hence, Option: C is the correct answer.

C) Exponential Growth.

Answer 2

Answer: Expotential Growth for Apex

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Solve. 8/x + 15/x^2 = -1A.
x= 5,-3

B.
x= -5,-3

C.
x= -5,3

D.
x=5,3

Answers

8/x + 15/x^2 = -1
(8x+15)/x^2 = -1
8x + 15 = -1*x^2
8x + 15 = -x^2
x^2 + 8x + 15 = 0
(x+5)(x+3) = 0
x+5=0 ................ x+3=0
x = -5 ..................... x = -3

saludos :)

How do I divide this:Volume, 45cm3. Height, 3cm.
Width, 3cm
How long is the Box?
Please help :(

Answers

is this shape 3d and no offense your 28 you should know this stuff. like im 15 and I know more than u MOHAHA

Find the exact value of tan (arcsin (2/5)). For full credit, explain your reasoning.

Answers

Since arcsin(2/5)=x, sin x=2/5

Here we go $=sinx/(sqrt(1-sin^2x)) =(2/5)/(sqrt(1-4/5))$
$tan x = sinx/cosx$
More than one way possible :
$tan(arcsin(2/5)) =(2/5)/ (sqrt(21)/5)=2/sqrt(21)$

Pls help with question 3 and below

Answers

Step-by-step explanation:

now find the area of triangle and add with the area of square and subtract with the area of circle

hope it will help you

What is the axis of symmsymmiof y=2(x+1)^2

Answers

y=a(x-h)^2+k
axis of symmetry is x=h

given
y=2(x-(-1)^2+0
h=-1
axis of symmetry is x=-1

Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age? A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's age

Answers

The equation that represents Jacob's age is x = y + z + 2

From the question, the following information was provided :

Jacob's age is two years more than the sum of the ages of his siblings Becky and Micah.

This above information can be represented with the equation below

Jacob = 2 + ( Becky + Micah) (equation 1)

If :

x represents Jacob's age

y represents Micah's age

z represents Becky's age

Equation 1, can be rewritten as x = y + z + 2

Micah's age can be determined by making Micah the subject of the formula in the above equation

Micah = Jacob - Becky - 2 (equation 2)

If :

x represents Micah's age

y represents Becky's age

z represents Jacob's age

Micah's age can be rewritten as :

x = z - y - 2

Becky's age age can be determined by making Becky the subject of the formula in the first equation.

Becky = Jacob - Micah - 2 (equation 3)

If:

x represents Becky's age

y represents Jacob's age

z represents Micah's age

Equation 3 can be rewritten as :

x = y - z - 2

Check here for a related question : brainly.com/question/21843246?referrer=searchResults

Using a system of equations, it is found that the correct equation is given by:

$x = y + z + 2$ , which is option B.

---------------

Jacob's age is given by x.
Becky's age is given by y.
Micah's age is given by z.

Considering that Jacob's is 2 years older than Becky's and Micah's combined, which is of y + z, his age is represented by the following equation:

$x = y + z + 2$

Which is given by option B.

A similar problem is given at brainly.com/question/24233433

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