Https://us-static.z-dn.net/files/d4c/b1c4613c4e210c04f4bcda5810cab46d.png
Answer: The point (0,0)
This point is also known as the origin
The reason why is because every direct variation equation is of the form y = k*x
where k is some fixed number
If we plugged in x = 0 it leads to y = k*x = k*0 = 0. So (x,y) = (0,0)
Answer: (5,5)
Step by step explanation:
We have the two equations
-7x + y = -30 and y = 2x - 5
one of the equations "define" y therefore we can plug the value of y into the other equation and solve for x
-7x + y = -30
plug in y = 2x - 5
-7x + 2x - 5 = -30
combine like terms
-5x - 5 = -30
add 5 to both sides
-5x = -25
divide both sides by -5
-5x/-5 = x and -25/-5 = 5
we're left with x = 5
we now plug in the value of x into one of the equations and solve for y
2x - 5 = y
x = 5
2(5) - 5 = y
multiply 2 and 5
10 - 5 = y
subtract
y = 5
the solution is (5,5)
Using continuity concepts, the answers are given by:
- The function is right-continuous at x = 0.
- The function is left-continuous at x = 1.
------------------------------------
A function f(x) is continuous at x = a if:

- If
, the function is left-continuous. - If
, the function is right-continuous. - For the given function, the continuity is tested at the points in which the definitions are changed, x = 0 and x = 1.
------------------------------------
At x = 0.
- Approaching from the left, it is less than 0, thus:

- Approaching from the right, it is more than 0, thus:


- Since
, the function is right-continuous at x = 0.
------------------------------------
At x = 1.



- Since
, the function is left-continuous at x = 0.
A similar problem is given at brainly.com/question/21447009
4.5 billion minus 146 million equals 4354000000. Then you must express it in scientific notation. To do this you move the decimal point so that there is only one number in front of it. Then count how many spaces you moved it and that will be your exponent. If you moved the exponent to the left then the exponent is positive, if you moved the point to the right then the exponent is negative. The format in scientific notation is: all of the numbers are included until the rest are zeros x 10^(to the power of) the number of places you moved the decimal.
So, in this problem, your answer is A.