Answer:
The X and Y intercepts to the equation -3x - 7y = 84 is
x-intercept (s): (−28,0)
y-intercept (s): (0,−12)
Step-by-step explanation:
To find the x-intercept(s), substitute in 0 for y and solve for x
−3x−7⋅0=84
Solve the equation.
x=−28
x-intercept(s) in point form.
x-intercept (s): (−28,0)
To find the y-intercept(s), substitute in 0 for x and solve for y .
−3⋅0−7y=84
Solve the equation.
y=−12
y-intercept(s) in point form.
y-intercept (s): (0,−12)
Hope this helps.
3157 tshjb. Josh. Job n McJob
Answer:
Only C is a function
Step-by-step explanation:
To test whether a graph is a function you use the vertical line test.
If you can place a vertical line anywhere on the plane (in the domain of the "function" to be tested) and it intersects the curve at more than one point, the curve is not a function.
We see with A, wherever we put the vertical line it intersects twice.
With B, it intersects infinitely many times.
C is a function because wherever we put the vertical line, it only intersects once.
D is a function because it intersects twice providing we do not put it on the "tip" of the parabola.
The mathematical reasoning behind this is that a function must be well-defined, that is it must send every x-value to one specific y-value. There can be no confusion about where the function's input is going. If you look at graph B and I ask you what is f(3)? Is it 1? 2? 3? ... Who knows, it's not well-defined and so it's not a function. However if I ask you about C, whichever input value for x I give you, you can tell me to which y-value it gets mapped/sent to.
Since you know it's a square, you also know that all the sides are 3 2/3. So to find area you multiply, so 3 2/3 x 3 2/3. An easy way to do this is convert it to a mixed number (11/3) and then multiply:
11/3 x 11/3 = 121/9
