Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
Answer:
Step-by-step explanation:
Using the quadratic formula:
Since the discriminant is negative, -31, there are no real roots
Answer:
x = 2
Step-by-step explanation:
x + 1 + 4 = 2x + 3
x + 5 = 2x +3
x + 2 = 2x
2 = x
x = 2
I don’t see a number line, but whatever says that the stock had no increase or decrease is your best bet.
Explanation: we can see it does have a decrease, but the increase the next day overrides it and turns the stock addition to $0
In a triangle ABC, the length of AB is 16 inches.
