Answer:
y=2
Step-by-step explanation:
First, you substitute x with 2.
3(2)-6y=(-6)
Then, you multiply:
6-6y=(-6)
Next, you subtract 6 from -6. So, the first 6 gets crossed out because of inverse of operation.
-6y=-12
Finally, you divide -6 to both sides of the equation to get y=2
Given:
The quadratic equation is

To find:
The x-intercepts of the given equation.
Solution:
We have,

Splitting the middle term, we get



For x-intercepts, y=0.

Using zero product property, we get




So, the x-intercepts are (0.5,0) and (2,0).
Therefore, the correct option is a.
Answer: OPTION C
Step-by-step explanation:
To solve the exercise shown in the image attached, you need to subtract the functions f(x) and g(x).
Keeping the above on mind, you have:

You must distribute the negative sign and then you must add the like terms, therefore, you obtain:

Answer:
The answer is below
Step-by-step explanation:
Let S denote syntax errors and L denote logic errors.
Given that P(S) = 36% = 0.36, P(L) = 47% = 0.47, P(S ∪ L) = 56% = 0.56
a) The probability a program contains both error types = P(S ∩ L)
The probability that the programs contains only syntax error = P(S ∩ L') = P(S ∪ L) - P(L) = 56% - 47% = 9%
The probability that the programs contains only logic error = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
P(S ∩ L) = P(S ∪ L) - [P(S ∩ L') + P(S' ∩ L)] =56% - (9% + 20%) = 56% - 29% = 27%
b) Probability a program contains neither error type= P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
c) The probability a program has logic errors, but not syntax errors = P(S' ∩ L) = P(S ∪ L) - P(S) = 56% - 36% = 20%
d) The probability a program either has no syntax errors or has no logic errors = P(S ∪ L)' = 1 - P(S ∪ L) = 1 - 0.56 = 0.44
Answer:
Feet Above Sea Level
Step-by-step explanation:
A benchmark is a term in Surveying and Geo informatics, that describes a point of reference established at a known elevation which serves as basis in which other elevation or topographical point can be measured.
Therefore, when determining the benchmark, it's height is calculated relative to the vertical datum of the area, typically mean sea level, which is then recorded in FEET ABOVE SEA LEVEL.
Hence, Benchmarks measurements refer to FEET ABOVE SEA LEVEL.