The standard formula of a point-slope equation is (y-y1) = m(x-x1). So, we would arrange the final equation in this way as much as possible. Let y be the total amount her receives and x be the number of miles. That would be
y = 200 + 20x
y = 20 (10 + x)
That would be the equation. If he finishes the walk,
y = 20 (10+5)
y = $300
he would receive a total of $300.
Answer:
12.57 km
Step-by-step explanation:
Radius = 4 / 2 = 2 km
Circumference = 2πr = 2π(2) = 4π = 12.57 km
Answer:
3.71 cm
Step-by-step explanation:
Hi there!
Area of a circle equation: 
where r is the radius
Plug in the area 43.25 cm²
Divide both sides by π to isolate r²
Take the square root of both sides to isolate r
Therefore, the length of the radius rounded to 2 decimal points is 3.71 cm.
I hope this helps!
We can answer the first part of the question not taking intersecting function into account. The domain of 
is all the numbers, x∈(-∞, +∞) and the range is y∈(-∞, 36]. We can observe these results with the help of a graph, as well. Since we are talking about the rainbow, the values above the ground level will make sense. In this case, we will take into account the range as it changes between 0 and 36, included and the domain between -6 and 6. Here (0;36) is the y-intercept and (-6;0) and (6;0) are the x-intercepts of the parabola.
Since in our problem, the linear function that intersects parabola is not given, we have to provide it by ourselves according to the conditions of the problem. It could be any line intersecting parabola in two points. One important point is that the y-intercept has to be no more than 36. Considering these conditions, we can set our linear function to be 
. We can observe the points that we included in the table (they have been given with orange dots in the graph and the table is attached below). We can see that the values of the function (values of y) are positive. Indeed, we are discussing the part of the rainbow above the ground level.
The system of equations with linear and quadratic functions has got two solutions and we can observe that result from the graph. The solutions are (-5.823; 2.088) and (5.323; 7.662). The solutions are the intersection points.
Answer:
10x-5
Step-by-step explanation:
You subtract 15x-5=10x. Then you do -7+2. The 7 is negative . So it would be -7 plus two. So it would equal -5. So it's 10x-5
