Answer:
omg
I
1. 3×3×3×3 = 81
2. 2²a³
3. (-5)³ (-5×-5×-5) = -125
4. 1
5. a^m-n
II
1. 1.6807× 10⁴
2. (7×7×7) × (2×2×2×2×2×2) = 21952
3. 32²
4. 2187
5. 803025
The next term in the sequence is double the previous term . so it would be the 3rd option (48,96,192)
Answer:

Step-by-step explanation:
we would like to solve the following equation for x:

to do so isolate
to right hand side and change its sign which yields:

simplify Substraction:

get rid of only x:

simplify addition of the left hand side:

divide both sides by q+p Which yields:

cross multiplication:

distribute:

isolate -pq to the left hand side and change its sign:

rearrange it to standard form:

now notice we end up with a <u>quadratic</u><u> equation</u> therefore to solve so we can consider <u>factoring</u><u> </u><u>method</u><u> </u><u> </u>to use so
factor out x:

factor out q:

group:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we obtain:

cancel out p from the first equation and q from the second equation which yields:

and we are done!
Answer:
2(x + 5) = x - 2
⟹ x = -12
Step-by-step explanation:
Doubling the sum of 5 and a number is equal to the same number decreased by 2. What is the equation?
This word problem can be written as:
⟹ 2(x + 5) = x - 2
1. Distribute:
2(x) + 2(5) = x - 2
⟹ 2x + 10 = x - 2
2. Subtract x from both sides:
2x - x + 10 = x - x - 2
⟹ x + 10 = -2
3. Subtract 10 from both sides:
x + 10 - 10 = -2 - 10
⟹ x = -12
4. Check your work:
2(x + 5) = x - 2
2(-12 + 5) = -12 - 2
2(-7) = -20
⟹ -14 = -14 ✔
Learn more here:
brainly.com/question/17821973