<h3>
<u>Explanation</u></h3>
A linear function has an equation of y = mx+b where m = slope and b = y-intercept. The function also has a line graph. By a line graph, the graph must have slope. That means the slope must not equal to 0 or undefined to be a linear function.
<u>Further</u><u> </u><u>Explanation</u>
A linear function has both domain and range as set of all real numbers because you are able to solve for x-term when inputting any y-value or solve for y-term when inputting any x-value. We can also find the x-intercept by substituting the value of y to 0 and basically solve for x-term. If we want to know the y-intercept, we can substitute x-term to 0 and solve for y. But most people would only look at b-term from y = mx+b because b-term is the y-intercept of function.
<h3>
<u>Answer</u></h3>
From your question, the function is indeed a linear function. The m-term and b-term both are from y = mx+b where m = slope and b = y-intercept.
Therefore, from y=6x+2. The m-value would be 6 and b-value would be 2
Step-by-step explanation:
When f(x) = f(x - 4), 3x² = 3(x - 4)².
=> x² = (x - 4)², x = -(x - 4), 2x = 4, x = 2.
The x-value is 2.
Use the addition and subtraction theorem:
sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B
From there it's just a matter of simplification.
sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B
Answer:
5
Step-by-step explanation:
Oil and gas production would most likely stop because it is very dangerous to be outside in a hurricane.