Determine the solutions to the following systems of the linear equations.
Determine the solutions to the following systems of the linear - 1

Answers

Answer 1
Answer:

Answer:

1. (4,2)

2. No solution

3. (1,3)


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Can you do a number line with no solution set.

Answers

yes 
all you do is draw a line and put numbers on it

Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answers

if x=0 then they have same value

1st and 2nd options are out

for x=-1
g(-1)=1
h(-1)=-1
3rd is true

4th
false

for all values except zero, g(x)>h(x)


correct ones are

g(x) > h(x) for x = -1.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).

Answer: g(x) > h(x) for x = -1.

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

Step-by-step explanation:

Given functions:g(x)=x^2 and h(x)=-x^2

When x=0, g(0)=0^2=0 and h(0)=-0^2=0

∴ at x=0, g(x)=h(0)

Therefore the statements "For any value of x, g(x) will always be greater than h(x)." and "For any value of x, h(x) will always be greater than g(x)." are not true.

When x=-1, g(-1)=(-1)^2=1 and h(-1)=-(-1)^2=-1

∴g(x) > h(x) for x = -1.  ......................(1)

When x=3, g(3)=(3)^2=9 and h(3)=-(3)^2=--9

g(x) > h(x) for x = 3....................(2)

⇒g(x) < h(x) for x = 3. is not true.

From (1) and (2),

For positive values of x, g(x) > h(x).  

For negative values of x, g(x) > h(x).

What process do you use to find the percent change of a quantity?

Answers

First, we need to get the amount of change:
The amount of change can either be an increase or a decrease.
It can be calculated as follows:
amount of change = 
(

If the amount of change is positive, then it is an increase
If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:
Changing the amount into a percentage can simply be done by multiplying this amount by 100
This means that:
% of change = amount of change * 100

Combining the two steps:
% of change = 
( * 100

Examples:
The original price of a certain product was $10. It then became $12. Find the % of increase.
% of change = 
(12-10)/(10) * 100 = 20%
This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.
% of decrease = 
(20-25)/(25) * 100 = -20%
This means that the temperature decreased by 20%

Hope this helps :)

Answer:

Step-by-step explanation:

First, we need to get the amount of change:

The amount of change can either be an increase or a decrease.

It can be calculated as follows:

amount of change = 

If the amount of change is positive, then it is an increase

If the amount of change is negative, then it is a decrease

Then, we need to convert this amount into a percentage:

Changing the amount into a percentage can simply be done by multiplying this amount by 100

This means that:

% of change = amount of change * 100

Combining the two steps:

% of change =  * 100

Examples:

The original price of a certain product was $10. It then became $12. Find the % of increase.

% of change =  = 20%

This means that the price increased by 20%

The temperature decreased from 25 degrees to 20 degrees. Find the percentage of decrease.

% of decrease =  = -20%

This means that the temperature decreased by 20%

Hope this helps :)

An instructional video is 1.8 minutes long. How long is the video in seconds? How long is it in hours?

Answers

Answer:

108 seconds and 0.03 hours

If €1 = £0.72 what would is the exchange rate £ - €

Answers

We know that 1 euro equals 0.72 pounds. To deduce the inverse conversion, we have to manipulate this equation so that it looks like

"x euros = 1 pound"

If you divide both sides of the equation by 0.72, the pounds coefficient will become 1, and you'll get the amount of euros that equal 1 pound.

Answer:

Step-by-step explanation:

Find the value of x in the equation √ x + 5 = √ x + 45.

Answers

√x+5 = √x+45
 
(√x+5)^2 = x+45 
x+25+10√x = x+45 
25+10√x = 45 
10√x = 20 
√x=2 
x=4