<span>First, g(x) = 2x - 2, because when you double both of the terms of x - 1, you have to multiply each of the terms by two, i.e x * 2 = 2x and (-1) * 2 = - 2, so the result is 2x - 2. Comparing the graphs, you have that g(x) 's slope is 2, whils f(x) 's slope is 1, so that means that g(x) is more inclined or, what is the same, grows faster than f(x). Also, you can compare the y-intercepts, given that the y-intercept is the constant terms. So, the y-intercept of g(x) is -2, while the y-intercept of f(x) is - 1. </span>
The area of the given figure is equal to the area of a rectangle with sides 5 feets by 6 feets less the area of four square cut-outs of side 1 feet.
Area of the rectangle = 5 x 6 = 30 square feets.
Area of the four square cut-outs = 4(1 x 1) = 4 x 1 = 4 square feet
Area of the given figure = 30 - 4 = 26 square feet.
Area of a triangle = 1/2 x base x height
i.e. 1/2 bh = 26
bh = 26 x 2 = 52
possible values of base and height = (1 and 52), (2 and 26), (4 and 13)
Ertex angle:: x degrees
<span>base angle: x+15
</span>
Amount of money received when x tickets are sold=$Y
Number of tickets sold=X
Slope of line= 
And , y- intercept = 8
Equation of line having slope m and y-intercept c is given by,
y = m x + c,
Expressing the above statement in terms of linear equation in two variable i.e a line is
Y = X + 8
Assume that the rule connecting height of the candle to time is a linear one. If you do, then we have to find the equation of this line, and then use this equation to predict the height of the candle after 11 hours.
Two points on this line are (6,17.4) and (23, 7.2). The slope is thus
7.2-17.4 -6
m = --------------- = ----------- or -3/5.
23-6 10
Find the equation of the line. I'm going to use the slope-intercept formula:
y = mx + b => 7.2 = (-3/5)(23) + b. Solving for b, b = 21.
Now we know that y = (-3/5)x + 21
Let x=11 to predict the height of the candle at that time.
y = (-3/5)(11) + 21 = 14.4 inches (answer)
