Which graph shows exponential growth?
2 answers:
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Answer:
1. Given the equation: y =6x-18 ......[1]
The intercepts of a line are the points where the line intercepts or crosses the horizontal and vertical axes.
(A)
Horizontal intercept(x) states that the point where the line crosses the x-axis and at this point y=0
Put y=0 in equation [1]
or
Ordered pair of horizontal intercept(x) = (3,0)
(B)
Vertical intercept(y) states that the point where the line crosses the y-axis and at this point x=0.
Put x=0 in equation [1]
or
Ordered pair of vertical intercept(y) = (0,-18)
You can also see the graph of the function y =6x-18 as shown in Figure-1.
2.
Graph the equation y+2x =4
to find the horizontal intercept and vertical intercept we follow the same process as done in 1
(A)
Horizontal intercept (x) = 2
Ordered pair = (2,0)
(B)
Vertical intercept (y) = 4
Ordered pair = (0,4)
Also, you can see these in the graph as shown in the Figure-2
3.
Given: The slope(m) of a line is
Two lines are parallel if their slopes are equal and they have different y - intercepts.
(A).
The slope of a line parallel to it is,
(B)
The slope of the original line is .
A line perpendicular to another line has a slope that is the negative reciprocal of the slope of the other line.
Therefore, slope of a line perpendicular to it is;
4.
The graph of the equation y =4x+5 as shown in figure 3
The x-intercept of this line is = -1.25
And the y-intercept of this line is y =5.
5.
Graph of the equation y = -3 represents the line as shown in figure 4.
6.
Solve the equation:
6y-18x = -18
6y = 18x-18
Divide by 6 to both sides of an equation ; we get
y = 3x-3 or
y = 3(x-1)
Answer:
0.314 gallon is required to cover a circular region with a radius of 40 feet
Step-by-step explanation:
Given
a gallon of paint will cover about 400 square feet in a single coat
To Find:
Number of gallons required to cover a circular region with a radius of 40 feet = ?
Solution:
Step 1: Finding Area of the circular region
The area of the circular region, A =
where r is the radius
Now substituting r = 40 , we get
A =
Step 2: Finding the number of gallons of paint required
To cover 400 sq feet = 1 gallon
so to cover 1 square feet = gallon
Now to cover 125.6 ft we need
=> 0.314 gallon