Answer:
D)
Step-by-step explanation:
Hope I helped! Brainiest plz! Have a nice day!♥ Hope you make a 100% -Amelia
Answer:
f(x) = 3(0.2)^x
Step-by-step explanation:
The leading coefficient is 3 as x = 0 gives f(x) = 3.
When x = 1, f(x) = 0.6. so try :
0.6 =3(1.2)^1 = 3.6 so it's not the fiirst choice.
0.6 = 3(0.2)^1 = 0.6 so its last choice.
Check when x = -1:
3(0.2)^-1
= 3/ 0.2
= 15
Answer:
73384 kilotons
Step-by-step explanation:
=> Total amount the 1st year = 90,000
=> Since after the 1st yr, there was a reduction of 4%, so 100% - 4% = 96% or 0.96
=> Total time = 6
We know that the formula of a geometric sequence is;
aₙ = a₁ * r⁽ⁿ⁻¹⁾
In which;
- aₙ = the value that has to be figured out (in this case it would be a₆)
- a₁ = the first term of the sequence (in this case it would be 90,000)
- r = common ration (in this case it would be 0.96)
- n = given time (in this case it would be 6)
Therefore we can finally say;
=> aₙ = a₁ * r⁽ⁿ⁻¹⁾
=> a₆ = 90,000 * 0.96⁶⁻¹
=> a₆ = 90,000 * 0.96⁵
=> a₆ = 73383.54
=> a₆ = 73384 (Rounded to the nearest whole number)
Therefore, rounding the answer to the nearest whole number, the answer would be; 73384 kilotons
Hope this helps! (Btw big shout out to jcherry99 for helping me figure this out!!)
Answer:
$27.50
Step-by-step explanation:
Hope this helps and have a great day!!!!
Answer:
<u><em> 4 • (2a + 3b) • (2a - 3b)</em></u>
Step-by-step explanation:
Step 1 :
Equation at the end of step 1 :
(16 • (a2)) - (22•32b2)
Step 2 :
Equation at the end of step 2 :
24a2 - (22•32b2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
16a2 - 36b2 = 4 • (4a2 - 9b2)
Trying to factor as a Difference of Squares :
4.2 Factoring: 4a2 - 9b2
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 4 is the square of 2
Check : 9 is the square of 3
Check : a2 is the square of a1
Check : b2 is the square of b1
Factorization is : (2a + 3b) • (2a - 3b)
Final result :
4 • (2a + 3b) • (2a - 3b)
