105/5 = $21 per hour
21 * 11 = $231 for 11 hours
Answer:
(x+6)(y+3)
Step-by-step explanation:
- xy + 3x + 6y + 18
- x(y + 3) + 6(y+3)
- <u>(</u><u>x</u><u>+</u><u>6</u><u>)</u><u>(</u><u>y</u><u>+</u><u>3</u><u>)</u>
Answer:
Step-by-step explanation:
Answer:
144 ways
Step-by-step explanation:
Number of paintings = 7
Renaissance = 4
Baroque = 3
We are hanging from left to right and we will first hang Renaissance painting before baroque painting.
For Renaissance we have 4! Ways of doing so. 4 x3x2x1 = 24
For baroque we have 3! Ways of doing so. 3x2x1 = 6
We have 4!ways x 3!ways
= (4x3x2x1) * (3x2x1) ways
= 144 ways
Therefore we have 144 ways to hang the painting.
4)
3x-2y=10
5x+y=4
We solve this system of equation by elimination method.
3x-2y=10
2(5x+y=4)
------------------------
13x=18
Answer: A) 13x=18
5)
slope-intercept form:
y=mx+b
y=f(x)
m=slope
b=y-intercept
1) we calculate the slope:
we choose any two points of this table:
For example: (2,2) and (3,4)
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line that passes through these points will be:
m=(y₂-y₁)/(x₂-x₁)
In this case:
m=(4-2)/(3-2)=2
2) we compute "b";
we choose an any point of this talbe:
For example: (4,6), and we substitute "x" for "4" and "y" for "6" in the next equation:
y=2x+b
6=2(4)+b
b=6-8
b=-2
3) we build the function that it belong this table:
m=2
b=-2
f(x)=mx+b
f(x)=2x-2
Answer: B) f(x)=2x-2