Answer:
P = 6x³ + 12x² - 18x + 8
Step-by-step explanation:
Given that:
Length = 3x3+4x2−6x
Width = 2x2−3x+4
The length of fencing needed will be :
Perimeter of rectangle (P) = 2( Length + Width)
P = 2[ (3x3+4x2−6x) + (2x2−3x+4)]
P = 2 (3x³+ (4x² + 2x²) + (-6x - 3x) + 4)
P = 2(3x³ + 6x² - 9x + 4)
P = 6x³ + 12x² - 18x + 8
Answer:
y = - 2x + 1
Step-by-step explanation:
Substitute an x value from the table into the equation
x = 1 : y = - 2(1) = - 2 ← require to add 1 to obtain y = - 1
x = 4 : y = - 2(4) = - 8 ← require to add 1 yo obtain y = - 7
Then equation describing the relationship is
y = - 2x + 1
Answer:
2:4
Step-by-step explanation:
6
Ratio: 1:2
6/3 = 2
2*1=2
2*2=4
2:4 is the answer
The angle in the dilated figure is the same as the original angle in each case, a fact that should be confirmed by the way the answer choices are shown.
∠A = ∠A'
... 4x -4 = 51 -x
... 5x = 55
... x = 11
∠A = 4·11 -4 = 40 . . . . . . doesn't match any offered choice
___
∠B = ∠B'
... 6x -1 = 4x +21
... 2x = 22
... x = 11
... ∠B = 6·11 -1
... ∠B = ∠B' = 65 . . . . . matches selection D)
_____
∠C = ∠C'
... 8x -13 = 6x +9
... 2x = 22
... x = 11
... ∠C = 6·11 +9 = 75
... ∠C = ∠C' = 75 . . . . . matches selection D)
Answer: 600 members of the club
Step-by-step explanation:
- In a statistical study , a population is a large group of observations by the researcher's point of view regarding the objective of the study.
A sample is a subset of the population that represents the entire population.
Here , we are given that ,
The club surveys 50 of its 600 members.
Clearly , Population = 600 members of the club
Sample = 50 members
Hence, the population of this study is "600 members of the club " .