Answer:
-1952
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
+ 6 = x ( subtract 6 from both sides )
= x - 6 ( square both sides )
x = (x - 6)² ← expand using FOIL
x = x² - 12x + 36 ( subtract x from both sides )
0 = x² - 13x + 36 , that is
x² - 13x + 36 = 0 ← in standard form
(x - 4)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x - 9 = 0 ⇒ x = 9
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions.
x = 4
left side =
+ 6 = 2 + 6 = 8
right side = x = 4
Since 8 ≠ 4 then x = 4 is an extraneous solution
x = 9
left side =
+ 6 = 3 + 6 = 9
right side = x = 9
Thus the solution is x = 9 → B
2 times what = -4?
-2 does
-2 x 2 = -4
-4 time what = 8?
Again, -2.
-2 x -4 = 8
You could do this over and over again or make a table, or you can make a function.
f(n) = f(1) • r

f(1) in this case is 2.
f(n) = 2 • r

r is rate of change, which is -2.
f(n) = 2 • -2

To find the 12th number in the sequence, just substitute n for 12.
f(12) = 2 • -2

f(12) = 2 • -2

-2^11 = -2048
2 x -2048 = -4096
So
the 12th number in the sequence will be -4096.
Answer:
6:41
Step-by-step explanation:
We know that the number of students going on the field trip is 6.
To find the total number of students, add the number of students going on the trip and the number of students staying at the school: 6 + 35 = 41
So the ratio of the number of students going on the field trip to the total number of students is 6:41
Answer:
205.62
Step-by-step explanation: