Answer:
Inequality: 
Inequality solved: 
The graph is attached.
Step-by-step explanation:
You need to remember the meaning of the inequalities symbols:
: Less than.
: Greater than.
: Less than or equal to.
: Greater than or equal to.
Let be "x" the number of more songs Carlotta can download.
According to the information given in the exercise, she can download no more than 12 song files per week. This indicates that you must use the symbol
.
Since she has already downloaded 10 song files this week, you can write the following inequality that represents this situation:

In order to solve it, you must subtract 10 from both sides:

Plot this result on a number line.
Since the symbol of the inequality is
, the dot must be filled (Observe the number line attached).
Answer:
The amount of change in the balance of the account is an increase of $3160.57.
Step-by-step explanation:
i) first deposit is given as $1250
ii) second deposit is given as $3040.57
iii) first withdrawal is given as $400
iv) second withdrawal is given as $400
v) third withdrawal is given as $400
vi) first penalty removed is $35
vii) second penalty removed is $35
viii) therefore the change to the balance is given by
$1250 + $3040.57 - $400 - $400 - $400 + $35 + $35 = $3160.57
viii) Therefore the amount of change in the balance of the account is an increase of $3160.57.
Answer:
That is not a function :)
Step-by-step explanation:
You can recognize functions by seeing if it passes the <em><u>vertical line test</u></em><em><u>.</u></em> If you draw a vertical line anywhere are the grid and it crosses the equation in more then one place then it does not pass the test, and is not a function.
Here's an attachment that might help
Answer:
20 years old
Step-by-step explanation:
Joe = J
Sydney = S
J = 5 + S
J + S = 45
Substitute
5 + S + S = 45
Add
5 + 2S = 45
Subtract 5 from both sides of the equation
2S = 40
Divide both sides of the equation by 2
S = 20
Sydney is 20 years old
Hope this helps :)
Answer:
The 1st, 3rd, and 5th statements are correct.
Step-by-step explanation:
YZ has the same angle as XY, so the length is the same.
A^2+B^2=C^2 shows that XZ equals 9 sqrt 2 cm.
The hypotenuse is always the longest segment in the triangle.