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2 years ago

Identify the name of the polygon given the number of sides.

Mathematics

1 answer:

Vesna [10]2 years ago

5 0

Answer:

Step-by-step explanation:

3 Triangle

4 Quadrilateral

5 Pentagon

6 Hexagon

7 Heptagon

8 Octagon

9 Nonagon

10 Decagon

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Y'all I am struggling Use the following functions to find each value below. f(x)=5x; g(x)=−2x+1; h(x)=x2+6x+8

Anni [7]

Answer:

see below the first three problems

Step-by-step explanation:

f(g(-2))

First, find g(-2) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(-2) = -2(-2) + 1

g(-2) = 5

f(x) = 5x

f(5) = 5(5)

f(5) = 25

f(g(-2)) = 25

g(h(3))

First, find h(3) using function h(x). Then use that value as input for function g(x).

h(x) = x^2 + 6x + 8

h(3) = 3^2 + 6(3) + 8 = 9 + 18 + 8

h(3) = 35

g(x) = -2x + 1

g(35) = -2(35) + 1 = -70 + 1

g(35) = -69

g(h(3)) = -69

f(g(3a))

First, find g(3a) using function g(x). Then use that value as input for function f(x).

g(x) = -2x + 1

g(3a) = -2(3a) + 1

g(3a) = -6a + 1

f(x) = 5x

f(-6a + 1) = 5(-6a + 1)

f(-6a + 1) = -30a + 5

f(g(3a)) = -30a + 5

5 0

3 years ago

Simplify (x2 16)(x2 16) = ? a. x4 256 b. x4 32 c. x4 32 d. x4 256

vazorg [7]

A, and B look the same so you can choose, but the answer is 256x4

8 0

3 years ago

What is the domain of the inverse of a relation?

GalinKa [24]

The domain is the space between the end points on the x axis
ex: D:-2(<=)x(<=)4 this means that the domain is any numbers between -2 and 4

4 0

3 years ago

Read 2 more answers

The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number

ira [324]

Answer:

$a.\ Probability = 0.426$

$b.\ Probability = 0.574$

Step-by-step explanation:

Given

$Total\ Families = 1000$

Number of Girls : 0 ----> 1 -----> 2 ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls : 0 ----> 1

Number of Families: 112 -> 314

So, we have:

$At\ Most\ One\ Girl = 112 + 314$

$At\ Most\ One\ Girl = 426$

The probability is then calculated as:

$Probability = \frac{At\ Most\ One\ Girl}{Total}$

$Probability = \frac{426}{1000}$

$Probability = 0.426$

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls : -----> 2 ------->3

Number of Families: --> 382 ---> 192

So, we have:

$More\ Girls = 382 + 192$

$More\ Girls = 574$

The probability is then calculated as:

$Probability = \frac{More\ Girls}{Total}$

$Probability = \frac{574}{1000}$

$Probability = 0.574$

4 0

2 years ago

Are there concepts/processes to strictly follow in writing radicals as expressions with rational exponents?

Eva8 [605]

Answer:

The concept or process is $x^{\frac{m}{n}}=(\sqrt[n]{x})^m$ .

Step-by-step explanation:

Consider the provided information.

The following property can be used to rewrite each radical as an exponent.

The numerator tells the power of the resulting rational exponent, and the denominator of the rational exponents tells the root of that number.

$x^{\frac{m}{n}}=(\sqrt[n]{x})^m$

For example:

$(27)^{\frac{2}{3}}=(\sqrt[3]{27})^2$

$(27)^{\frac{2}{3}}=(3)^2$

$(27)^{\frac{2}{3}}=9$

Hence, the concept or process is $x^{\frac{m}{n}}=(\sqrt[n]{x})^m$ .

5 0

3 years ago