Answer:
=x+22
-by-step explanation:
Let's simplify step-by-step.
3(x+4)+2(5−x)
Distribute:
=(3)(x)+(3)(4)+(2)(5)+(2)(−x)
=3x+12+10+−2x
Combine Like Terms:
=3x+12+10+−2x
=(3x+−2x)+(12+10)
=x+22
To write an expression in function notation, you must solve it for the dependent variable.
Assuming that you want the expression to be written in the form 
(i.e., assuming that x is the independent variable), we have to solve the expression for y, which means that we want y to remain alone on the left hand side, and move everything else to the right hand side.
So, first of all, we can add 9x to both sides to get
Finally, we divide both sides by 3:
Answer:
Symmetric Property of Congruence
Step-by-step explanation:
Reflexive:
A ~= A
B ~= B
Symmetric:
A ~= B then B ~= A
Transitive:
If A ~= B and B ~= C, then A ~= C
Answer: Hello there!
If D is the price of one drink and P the price of one bag of popcorn, we know that:
9*D + 2*P = $86.50
3*D + 9*P = $89.25
Now we can isolate one of the therms in the first equation and replace it in the second one:
Lets isolate D in the first equation
9*D + 2*P = $86.50
9*D = $86.50 - 2*P
D = ( $86.50 - 2*P)/9
now we can replace in in the second equation and obtain the value of P
3*D + 9*P = $89.25
3*( $86.50 - 2*P)/9 + 9*P = $89.25
( $86.50 - 2*P)/3 + 9*P = $89.25
$28.83 - (2/3)P + 9P = $89.25
(9 - 2/3)P = $89.25 - $28.83 = $60.42
(25/3)P = $60.42
P = $60.42*(3/25)= $7.25
So each bag of popcorn cost $7.25.
Now we can replace it in the first equation and find the price for the drinks:
9*D + 2*P = $86.50
9*D + 2*$7.25 = $86.50
9*D + $14.50 = $86.50
9*D = $86.50 - $14.50 = $72
D = $72/9 = $8
So each drink cost $8.
And now we know the price for one bag of popcorn and for one drink,
When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>") the line is a solid line.
When the sign is < or >, the line is a dotted line.
When "y" is greater than, the shaded area is above the line
When "y" is less than, the shaded area is below the line
The answer is C
