x = - 1
we require to solve - 3x - 3 = 0
add 3 to both sides
- 3x = 3
divide both sides by - 3
x = 
= - 1
Answer:
Choice D
Step-by-step explanation:
When you convert a unit to a smaller unit it will always get bigger so in this case you will move the decimal point to the right so 21.5 will become 215.
Answer:
x = 9 , y =3
Step-by-step explanation:
-3x + y = 0 ---- 1
2x -2y = -12 -----2
By elimination method:
let's first eliminate x
we can do that by making x equal in both equations
multiply equation 1 by 2 ( because 2 is the coefficient of x in equation 2 and remember we want to equate both equations)
multiply equation 2 by -3 ( because -3 is the coefficient of x in equation 2 and remember we want to equate them both)
-3x + y = 0 ×2
2x -2y = -12 ×-3
-6x + 2y = 0 ----3
-6x + 6y = 36 -----4
subtract equation 4 from 3
that will give
0-4y = -36
which is
-4y = -36
divide both sides by coefficient of y which is-4
(-4y) ÷ (-4) = (-36)÷(-4)
answer : y= 9
substitute 9 for y in equation 1
-3x + y = 0
-3x + 9 = 0
subtract 9 from both sides
-3x +9-9= 0-9
-3x = -9
divide both sides by coefficient of x which is-3
(-3x)÷(-3) = (-9÷-3)
x = 3
Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by 
units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by 
units.
Hence, the scale factor is 
. (Answer)
Answer:
a) r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
- rabbit food consumed during the 10th year is approximately 832 pounds
- rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
Step-by-step explanation:
Given that:
r1 = 30 and a farm grows by 12%
a = 30 and the common ratio r = 1.12
now
n r
1 30.00
2 33.60
3 37.63
4 42.15
5 47.21
6 52.87
7 59.21
8 66.32
9 74.28
10 83.19
11 93.18
12 104.36
Therefore r₁₂ = 104.36
In general, rₙ = arⁿ⁻¹
b)
if each rabbit consume 10 lbs of rabbit food each year
n r food consumed(lbs)
1 30.00 300
2 33.60 336
3 37.63 376
4 42.15 422
5 47.21 472
6 52.87 529
7 59.21 592
8 66.32 663
9 74.28 743
10 83.19 832
total 5265
Therefore, the rabbit food consumed during the 10th year is approximately 832 pounds
And the rabbit food consumed in total for the 1st through 10th years is approximately 5265 pounds
