Answer:
4.) y=x-16
Step-by-step explanation:
Here,
y=4,
x=20
Now,
putting the value of x and y.
or, 4=20-16
or, 4+16=20
∴20=20
Answer:
3 m/s
Step-by-step explanation:

Logarithmic functions and exponential functions are inverse and opposite of one another
The logarithmic function is
, and the length at 8 pascals is 3 units
<h3>How to determine the
logarithmic function</h3>
The exponential function is given as:

Express f(x) as y

Swap the positions of x and y

Take the logarithm of both sides

Apply the rule of logarithm

Divide both sides by log(2)

Apply the change of base rule of logarithm

When the strength is 8 pascals, we have:

Express 8 as 2^3

So, we have:

Evaluate log 2 base 2

Hence, the logarithmic function is
, and the length at 8 pascals is 3 units
Read more about logarithmic and exponential functions at:
brainly.com/question/11464095
Answer:
The probability that an individual has the disease and has a positive test result is:
9.8%.
Step-by-step explanation:
Probability of a true positive result for a test of syphilis = 0.98 or 98%
Probability of a false negative result for a test of syphilis = 0.02 or 2% (100 - 98)
Probability of a true negative result for a test of syphilis = 0.9 or 90%
Probability of a false negative result for a test of syphilis = 0.1 or 10% (100 - 90)
Therefore, the probability that an individual has the disease and has a positive test result = 0.98 * 0.1 = 0.098 = 9.8%
Answer:

Step-by-step explanation:
The equation of a quadratic function in vertex form is given by:

Where (h,k) is the vertex.
It was given in the question that the vertex of the parabola is (-1,4).
When we substitute the vertex into the formula we get:

The parabola also passes through (4,19) hence it must satisfy its equation.



We divide both sides by 25 to get:

Hence the quadratic function is:
