Answer:
B. (see attached)
Step-by-step explanation:
All the answers agree that the function is x² for x < 1. Where they disagree is in the slope and y-intercept of the linear portion for x > 1.
The line has a slope that is less than 1 unit of rise for 1 unit of run, so will not be selections A or C, which have slopes of 3.
The y-intercept is clearly positive if we extend the line to the left until it reaches the y-axis. This eliminates selection D from consideration, leaving only selection B.
Answer:
Step-by-step explanation:
Given Equation:
Solving the bracket on L.H.S
Taking the terms of 'x' to one side and the constants to other side
The value of 'x' after solving the equation is:
<u>Answer:</u>
○
<u>Step-by-step explanation:</u>
To find the equation of the line, let's first consider the points whose coordinates we have been given:
• (6, 1)
• (2, 0).
The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.
Next, let's calculate the slope (gradient) of the line using the formula:
where:
m = gradient,
and
= points on the line.
Using the formula:
⇒
Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:
You can use any of the points on the line as and
.
Using (2, 0):
⇒
Therefore the equation of the line is .
Learn more about point-slope form at:
Answer:
77 degrees
Step-by-step explanation:
The interior angles of a triangle always add up to 180 degrees, so you can form an equation:
