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:
Value of x will be 0.1515
Step-by-step explanation:
We have given the equation 
We have top fond the value of x using exponent and logarithmic property
So
Taking log both side
x = 0.1515
Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.
Answer:
-17
Step-by-step explanation:
3x-7=4x+10
Add 7 to both sides & simplify
3x-7=4x+10
+7 +7
3x=4x+17
Subtract 4x from both sides & simplify
3x=4x+17
-4x -4x
-x=17
*Negative x equals -1*
Divide both sides by -1 & simplify
