Answer:
x = 1.5
Step-by-step explanation:
Given
Required
Find the value of x.
First, the inequalities need to be rewritten and merged;
if , then
Multiply both sides by 2
Similarly;
Multiply both sides by 2
Merging these results together; to give
This means that the range of values of x is from 1.5 to 4.9999....
From the question, x is the smallest rational number; from the range above (), the minimum value of x is 1.5 and 1.5 is a rational number;
Hence, x = 1.5
Answer:
<u>81920</u>
Step-by-step explanation:
Finding the common ratio (r) :
Finding the 14th term :
- a₁₄ = ar¹⁴⁻¹
- a₁₄ = ar¹³
- a₁₄ = (10)(2)¹³
- a₁₄ = (10)(8192)
- a₁₄ = <u>81920</u>
Tonis donation is 3 times longer (6 x 3 = 18)
Solve for x using factorizing:
x^2 + 10 x - 24 = 0
The left hand side factors into a product with two terms:
(x - 2) (x + 12) = 0
Split into two equations:
x - 2 = 0 or x + 12 = 0
Add 2 to both sides:
x = 2 or x + 12 = 0
Subtract 12 from both sides:
Answer: x = 2 or x = -12
2/3÷4/5
2/3*5/4
10/12
5/6
Hope this helps :)
