X² - 6x + 9 = 0
a = 1, b = -6, c = 9
Discriminant = b² - 4ac = <span> (-6)² - 4*1*9 = 36 - 36 = 0
Since the Disciminant, <span>D = 0, the roots are real and equal</span></span>
Answer: C = 1.69
Step-by-step explanation:
E is proportional to √C
To remove proportionality, introduce a constant (k).
E = k × √C
From question,
E = 40 and C = 25
So,
40 = k ×√25
40 = k × 5
k = 8
Now,
C = ?
E = 10.4
k = 8
E = k × √C
10.4 = 8 × √C
10.4 / 8 = √C
( 10.4 / 8 ) ^ 2 = C
C = 1.69
Answer:
Step-by-step explanation:
First, look at y = log x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. A real zero occurs at x = 1, as log 1 = 0 => (1, 0). This point is also the x-intercept of y = log x.
Then look at y = log to the base 4 of x. The domain is (0, infinity). The graph never touches the vertical axis, but is always to the right of it. Again, a real zero occurs at x = 1, as log to the base 4 of 1 = 0 => (1, 0).
Finally, look at y=log to the base 4 of (x-2). The graph is the same as that of y = log to the base 4 of x, EXCEPT that the whole graph is translated 2 units to the right. Thus, the graph crosses the x-axis at (3, 0), which is also the x-intercept.
Answer:
The answer is option A.
Step-by-step explanation:
In order to find the equation of the function, when the graph is already known to us in the question, we can use the various coordinates points through which the curve is passing from. The various Asymptotes of the graph can be used to find the expression in the denominator of the function.
So here the graph is of the form:
Now when the value of x=-6 and x=6, we have the vertical asymptote, so at x=-6 and x=6 is where the vertical asymptotes lies.
Thus, we have a=6, b=-6.
And hence, the function whose graph is given will be
which is given by option A.
Step 1: Add 9 to both sides
Step 2: Combine like terms (notice the -9 and 9 cancel out)
Step 3: Flip the inequality
-16 > x - 9
-16 + 9 > x - 9 + 9 ... apply step 1
-7 > x ... apply step 2
x < -7 ... apply step 3
The final answer is x < -7
Any value smaller than -7 will work as a solution