Answer:
C
Step-by-step explanation:
given - 2x < 10 ( divide both sides by - 2 )
Remembering that the symbol is reversed when multiplying/ dividing by a negative quantity.
x > - 5 ← note reversal of symbol
solution is {x | x > - 5 } → C
Givens
Area = 200 square feet
Formula
A = s^2
Soluton
s^2 = 200 square feet.
Take the square root of both sides.
square root s^2 = square root (200)
You should use a calculator to find the square root of 200
√
200
=
is the way to put it into the calculator.
s = 14.1 feet on each side. <<<<< Answer
Y is a vertical axis
x is a horizontal axis
when drawing a line, the line drawn to them is perpendicular so lines only touching the x axis are vertical and lines touching only the y axis are horizontal
the
a vertical line is x=value
the only thing that works is x=12
Answer:
<u>f(g(x)) = 9x² + 15x + 2</u>
Step-by-step explanation:
- f(x) = x² + 5x + 2
- g(x) = 3x
<u>Solving f(g(x))</u>
- f(g(x))
- f(3x)
- f(3x) = (3x)² + 5(3x) + 2
- f(3x) = 9x² + 15x + 2
- <u>f(g(x)) = 9x² + 15x + 2</u>
Using the given information, we can say the following:
Width (W) = x
Length (L) = (2x - 4)
Area of Rectangle = L × W
Using this, we can formulate an equation for rectangle in question:
x(2x - 4) = 30
Expand and move everything to one side:
2x² - 4x - 30 = 0
Simplify by dividing everything on both sides by 2:
x² - 2x - 15 = 0
Factorise:
(x + 5)(x - 3) = 0
Set each factor equal to 0 and solve for x:
x + 5 = 0
x = -5 (a dimension cannot be negative so this is not the solution we want)
x - 3 = 0
x = 3 (this is the solution)
x = W = 3"
L = 2x - 4
L = 2(3) - 4
L = 2"
So, the length the rectangle is 2" and the width is 3"
