Answer:
|x-3|-5
Step-by-step explanation:
f(x) = |x|
These lines are lines of absolute value equations. g(x) is shifted 3 units left so we subtract 3 from within the bars, and shifted down 5 units so we subtract 5 from the absolute value which leaves us with |x-3|-5
First, to make the equation easier to read, you want to add the x’s together. you should then get 2.6x-3.8=-9. then, you want to add the 3.8 to both sides, to make the x stand alone. you should end up with 2.6x=-5.2. to find x, you then want to divide both sides by 2.6. your final answer after dividing should be x=-2
The volume of a triangular prism is the "area of a triangle" times the "thickness."
The area of a triangle is (base times height) over 2.
V = ((b*h)/2)*T
Given V = 2400 cu. cm, b = 16 cm, T = 20 cm, and h is unknown,
h = (2V)/(bL) = (2*2400)/(16*20) = 15 cm
Note that the given 17 cm in the picture is useless.