MATHEMATICS HIGH SCHOOL

Write these expressions in exponential form. Example: 12 to the power of 2 x 12 to the power of 6= 12 to the power of 2 +61. 11 to the power of 16 x 11 to the power of 1=

2. a to the power of 6 x a to the power of 8 =

3. (-2) to the power of 12 x (-2) to the power of 1=

4. 1.1 to the power of 7 x 1.1 to the power of 9 =

5. 3 to the power of 4 x 5 to the power of 2 =

Answers

Answer 1

Answer:

Step-by-step explanation:

1. 11 to the power of 16 x 11 to the power of 1

$11^(16)*11^1=11^(16+1)=11^{17$

2. a to the power of 6 x a to the power of 8

$a^6*a^8=a^(6+8)=a^(14)$

3. (-2) to the power of 12 x (-2) to the power of 1

$(-2)^(12)*(-2)^1=(-2)^(12+1)=(-2)^(13)$

4. 1.1 to the power of 7 x 1.1 to the power of 9

$1.1^7*1.1^9=1.1^(7+9)=1.1^(16)$

5. 3 to the power of 4 x 5 to the power of 2

Assumed it is both 3 or 5, we take 3

$3^4*3^2=3^(4+2)=3^6$

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Round $56.987 to the nearest cent

Answers

$56.99 because 7 is bigger tan 5

To round to the nearest cent is$56.99. Because the .987 you have to round the 7 is over 5 so you change the 8 to a 9.

Given f(x)=6x+4 and g(x)=3x+7g
then what is f(g(1)) ?

Answers

for g(x) the question must be 3x+7x.. so if it's g(x) =3x+7x than f(g(1)) will be 64

How can you recognize whether a real-world situation should be represented by an equation or an inequality?PLEASE HELP!!!

Answers

An equation:
It is used to express exact values.
Therefore, we will use an equation when when know that the quantity given is strictly equal to a given value.
Examples:
1- Price of a kilo of apples is $2
This is translated as ........> cost of 1 kilo = $2
2- The length of a ruler is 30 cm
This is translated as ......> length = 30 cm

An inequality:
It is used to show relation or compare between a quantity and a value. Therefore, we use it when we find keywords as "at least, at most, greater than, less than, ..... etc"
Example:
1- The distance between two cities is at least 20 miles.
This means that the distance can be 20 miles or more
This is translated as:
distance ≥ 20 miles

Hope this helps :)

Well, I guess you can tell by looking for some key words.

You use an equation when the situation has words like
-- is
-- equals
-- same as
-- results in .

You use an inequality when the situation involves words like
-- more
-- most
-- less
-- least
-- at least
-- no more than .

In the U.S., from 2004−2015, the correlation coefficient for the relationship between the size of a cell phone data plan, x, and the number of text messages sent, y, is R=+0.97. Describe the relationship between the data plan size and the number of text messages sent in the U.S.

Answers

Answer: As the data plan increases, the text messages also increases. It's Perfectly straight line and positive correlation.

Step-by-step explanation:

From the question, we are told that the correlation coefficient for the relationship that exists between the size of cell phone data plan, x, and number of text messages sent, y, is R=+0.97.

This shows that a positive correlation exist between both variables. A positive correlation is a relationship that exist between two variables whereby both variables move in tandem, that is, they move in the same direction. In this equation, a positive correlation exists as one variable increases, the other increases. As data plan increases, the text messages also increases.

Math help please!!!
**check picture below**

Answers

Simple...

$(3x y^(3) )(2 x^(3)y)$

3*2=6

$x* x^(3)= x^(4)$ (Exponents "multiplied" are added)

$y^(3) *y= y^(4)$

Making it...

$6 x^(4)y ^(4)$

Thus, the answer to your first question.

The Second One....

$(x^(2) -2x-2)*( x^(2) +2x+3)$

It looks hard, but it's not...break it down..

$x^(2) * x^(2) = x^(4)$

$x^(2) *-2x=-2 x^(3)$

$x^(2) *2x=2 x^(3)$

$x^(2) *-2=-2 x^(2)$

$-2x*2x=-4 x^(2)$

$x^(2) *3=3 x^(2)$

-2*2x=-4x

-2x*3=-6x

-2*3=-6

Now..FINALLY...add it up..

Making the answer to your second equation...

$x^(4) -2 x^(3) +2x ^(3) -6x ^(2) +3 x^(2) -10x-6$

$x^(4) -3x ^(2)-10x-6.$

What is the product of 2 and 7 and what is the sum of 2 and 7

Answers

Answer:

-9

Step-by-step explanation:

just did it and got it right

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