Answer:
Step-by-step explanation:
apply the indices law
- multiple means addition
- division means subtraction
- you are suppose to add the powers or subtract where necessary
- 4^9x 4^3= 4^5
- 6^5x6^2=6^7
- 8^6÷8=8^5
- 7^8÷7^6=7^2
Answer:
Step-by-step explanation:
50+70=120
180-120=60
I'm pretty sure the answer is 60
Answer:
6561 / 128
Step-by-step explanation:
The nth term of a geometric sequence is:
a = a₁ (r)ⁿ⁻¹
The first term is 3, and the fourth term is 81/8.
81/8 = 3 (r)⁴⁻¹
27/8 = r³
r = 3/2
The eighth term is therefore:
a = 3 (3/2)⁸⁻¹
a = 6561 / 128
Answer:
2
Step-by-step explanation:
f(x)=2x^2+9x-5
When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero
0=2x^2+9x-5
Factor the equation
0 = (2x+1) (x-5)
2*1
1*-5 = -5
2*-5 +1*1 = -9
This checks for the first last and middle terms so we factored correctly
Then using the zero product property
2x+1 = 0 and x-5 =0
2x = -1 x=5
x = -1/2 and x=5
This function crosses the x axis 2 times
A. The equation to find the distance of the flowerbed from the hive is: 
, where x is the distance.
B. The flowerbed is 2250 feet far from the hive.
<u><em>Explanation</em></u>
Suppose, the distance of the flowerbed from the hive is 
feet.
The bee flies 20 feet per second directly to a flowerbed from its hive and flies directly back to the hive at 12 feet per second.
As, 
So, the time taken by the bee to reach the flowerbed 
seconds and the time taken to fly back to the hive 
seconds.
The bee stays at the flowerbed for 15 minutes or (15×60)seconds or 900 seconds and it is away from the hive for a total of 20 minutes or (20×60)seconds or 1200 seconds.
So, the equation will be.......
Thus, the distance of the flowerbed from the hive is 2250 feet.
