Answer:
x = 8 - 10i or 8 + 10i
Step-by-step explanation:
Our equation is given as:
x² + 164 = 16x
x² - 16x + 164 = 0
We solve using Almighty formula
x = -b ± √b² - 4ac/2a
Where : ax² + bx + c
For our Equation
a = 1, b = -16, c = 164
Hence,
x = -(-16) ± √-16² - 4 × 1 × 164/2 × 1
x = 16 ± √256 - 656/2
x = 16 ± √-400/2
Finding the roots
x = 16/2 ± √-400/2
x = 8 ± 20i/2
x = 8 ± 10i
Therefore, the value of x
= 8 - 10i or 8 + 10i
Answer:
28
Step-by-step explanation:
Answer:
<em>the unit rate is 0.8x per unit y</em>
<em></em>
Step-by-step explanation:
the proportional relationship is y = 
this means that the constant of proportionality k = 
= 0.8
re-writing, we have
<em>y = 0.8x</em>
<em>therefore, the unit rate is 0.8x per unit y</em>
The sum of n terms is given from the first term and the common ratio by
For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is
Step-by-step explanation:
We find the equation of the solid blue line:
The line decreases by 1 unit for every 3 units across.
=> Slope of line = -1/3.
Also the y-intercept is 1.
=> Line equation: y = -1/3 x + 1.
We see that the graph below this line is shaded.
Therefore all y-values below or on the line are represented by the graph.
=> y <= -1/3 x + 1.
The answer is y <= -1/3 x + 1.
