The value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation;
0 = x² – 5x – 4 or
x² – 5x – 4 = 0
Here a = 1, b = -5, and c = -4
After simplification:
x = 5.70 or x = -0.70
The value x = -0.70 is the negative real number.
Thus, the value -0.07 is the negative real number in the quadratic equation 0 = x² – 5x – 4
Learn more about quadratic equations here:
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Which relation is a function?
Answer:
The one on the bottom right corner
Step-by-step explanation:
The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.
Answer: Choice D in the bottom right corner
Reason
If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.
This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.
Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.
Answer:
11,180
Step-by-step explanation:
The usual assumption for organic growth is that it is exponential. Here, the number increased by a factor of 1000/200 = 5 in 8 hours. For t in hours, a model for population might be ...
b = (initial value)·(growth factor)^(t/(period of growth))
b = 200(5^(t/8))
Using t = 20, the predicted population is ...
b = 200(5^(20/8)) = 200·5^2.5 ≈ 11,180
There might be about 11,180 bacteria in 20 hours.
Time elapsed between start of Car 1 and start of Car 2 = 18 minutes.
How long before Car 2 overtakes Car 1?
A. 0.68
B. 0.53
C. 0.58