Answer:
A. 5x^2 - 2x - 12 = 0
Step-by-step explanation:
The base is x feet.
The height is 2 less that 5 times the base.
The height is 5x - 2.
The area is 12.
The area is base * height / 2.
area = bh/2
area = x * (5x - 2) = 12
5x^2 - 2x = 12
5x^2 - 2x - 12 = 0
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Answer:
The overall average is $148,000
Step-by-step explanation:
120,000 740,00 divided by 5 is 148,000
120,000
120,000
190,000
+ 190,000
-------------
740,000
Area of a trapezoid: 1/2(a + b)*h, where a and b are the lengths of the two bases of a trapezoid and h is the height.
Plug 22 and 44 for a and b, respectively. Plug 15 for h.
1/2(22 + 44)*15
1/2(66)*15
1/2(990) = 495
b) 495 in²
