Which expression represents the number of feet that are in x yards?
The conversion fact is 3 feet = 1 yard.So
1 yard = 3 feet
2 yards = 2(3 feet)
3 yards = 3( 3 feet)
Thus, x yards would equal 3x feet....
Answer: C. 3x
Answer:
This is easy -- it's just a list of steps. At this level, the problems are pretty simple.
Let's just do one, then I'll write out the list of steps for you.
Find the inverse of f( x ) = -( 1 / 3 )x + 1
STEP 1: Stick a "y" in for the "f(x)" guy:
y = -( 1 / 3 )x + 1
STEP 2: Switch the x and y
( because every (x, y) has a (y, x) partner! ):
x = -( 1 / 3 )y + 1
STEP 3: Solve for y:
x = -( 1 / 3 )y + 1 ... multiply by 3 to ditch the fraction ... 3x = -y + 3 ... ditch the +3 ... subtract 3 from both sides ... 3x - 3 = -y ... multiply by -1 ... -3x + 3 = y ... y = -3x + 3
STEP 4: Stick in the inverse notation, f^( -1 )( x )
f^( -1 )( x ) = -3x + 3
Step-by-step explanation:
Y = -x +8 is the answer for this one.
Answer:
2X-3Y = -1
Step-by-step explanation:
given equation is 3X +2Y = -7
FIRST BRING THIS IN SLOPE INTERCEPT FORM
2Y = -3X -7
DIVIDING EACH TERM BY 2
Y = (-3/2)X -7/2
SLOPE OF GIVEN EQUATION IS -3/2
SLOPE OF LINE PERPENDICULAR TO THIS IS NEGATIVE RECIPROCAL HENCE SLOPE OF REQUIRED EQUATION IS 2/3
EQUATION OF STRAIGHT LINE IN POINT SLOPE FORM IS
Y-Y1 = m(X-X1)
Y-1 = (2/3)(X-1)
MULTIPLYING ALL TERMS BY 3
3(Y-1) = 2(X-1)
3Y-3 = 2X -2
2X-2 = 3Y-3
2X-3Y =-3+2
2X-3Y = -1
