Answer:
independent: number of haircuts
dependent: total income
rule: f(x) = 20x
Step-by-step explanation:
Just put the amount the hairdresser is earning and the unknown value together? Lol
1, 4, 9, 16, 25, 36, and 49 because 1*1=1, 2*2=4, 3*3=9, 4*4=16, 5*5=25, 6*6=36, and 7*7=49
12 boxes are needed and 20 will be in the last box.
1450/130 is 11.15 so You round up and need 12 boxes (because you can’t have .15 of a box) so you get the 11 boxes and multiply by how much it can hold (130) and get 1430 which is 20 short of 1450 so 20 would be in the last box .
Answer:
24
Step-by-step explanation:
Mack can choose any of the 4 for the first visit, any of the remaining 3 for the second visit, either of the remaining 2 for the third visit, then visit the last one. There are 4·3·2·1 = 24 ways Mack can do this.
_____
The number 4·3·2·1 is "four factorial", written as 4! (with an exclamation point). It is the number of ways 4 objects can be ordered, called the number of <em>permutations</em> of 4 objects.
Answer:
(5, -1)
Step-by-step explanation:
Equation 1: 3x + y = 14
Equation 2: 2x - 2y = 12
Rewrite equation 1 to make y the subject:
⇒ y = 14 - 3x
Substitute this into equation 2 and solve for x:
⇒ 2x - 2(14 - 3x) = 12
⇒ 2x - 28 + 6x = 12
⇒ 8x - 28 = 12
⇒ 8x = 40
⇒ x = 5
Substitute found value for x into either equation and solve for y:
using equation 1:
⇒ 3(5) + y = 14
⇒ 15 + y = 14
⇒ y = -1
Therefore, the solution to the system is (5, -1)