Answer:
z = (-b + 17)/(a+4)
Step-by-step explanation:
If in terms of a and b, then
az - 17 = -4z - b
z(a-4) = -b+17
z = (-b + 17)/(a+4)
87 and 93
45 and 135
74 and 106
is the equation best represents the line.
Solution:
Take any two points on the line.
Let the points be (0, –4) and (4, 7).

General form of equation of a line is y = mx + c
where m is the slope and c is the y-intercept of the line.
<em>y-intercept is the point which line crosses at y-axis.</em>
In the given line, y-intercept is 4.
c = 4
Slope of the line:



Equation of the line:
y = mx + c

Hence
is the equation best represents the line.
Answer:
Range is {y | y ≥ –11}
Step-by-step explanation:
This is quadratic equation.
<em>A quadratic equation's range can be found if we find the vertex.</em>
For quadratic equations that have a positive number in front of
, it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>
The formula for vertex of a parabola is:
Vertex = 
Where,
is the coefficient of 
is the coefficient of 
From our equation given,
and 
Now,
coordinate of vertex is 
coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the
value [
] into the equation. So we have:

Hence, the range would be all numbers greater than or equal to
Third answer choice is the right one.
Answer:
If it is not raining, then I do not need my rain boots.
Step-by-step explanation:
idk the question is written a bit wrong, I don't know if I was able to switch the first statement. Sorry if I'm wrong!