Complete question :
Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? A. h = (h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b)÷ r b. h = h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b ÷ r c. h = h equals left-parenthesis StartFraction p Over 0.7 EndFraction right-parenthesis divided by r minus b.÷ r – b d. h = h equals StartFraction p minus b Over 0.7 EndFraction divided by r. ÷ r
Answer:
[(p/0.7) - b] / r
A. h = (h equals StartFraction p Over 0.7 EndFraction minus b divided by r.– b)÷ r b. h = h equals StartFraction p Over 0.7 EndFraction minus b divided by r.
Step-by-step explanation:
Given the equation :
p = 0.7(rh + b)
Make h the subject
Divide both sides by 0.7
p / 0.7 = 0.7(rh + b) / 0.7
p/ 0.7 = rh + b
Subtract b from both sides :
(p/0.7) - b = rh + b - b
(p/0.7) - b = rh
Divide both sides by r
[(p/0.7) - b] / r = rh/ r
[(p/0.7) - b] / r = h
So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19
I'm going to assume the given equation equals zero..
So, If we add subtract 19 from both sides of the equation we get the perfect square.
4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0
for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)
Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.
This involvea factoring the polynomial into binomials and solving.
So make it (3x+1)(x-7)
X equals 7 and -1/3
Answer: 1. Equation =3x = M , where x = money each received and M= total money received.
2.total money from bake sale=$96.57
Step-by-step explanation:
STEP 1
Let the total money receive from proceeds be = M
and let the amount of money each receive after the split = x
Since Jan and her two friends raised the money together, the total proceeds will be calculated using the equation
x+x+x= M
3 x = M ---- Equation
STEP 2--- Solving
if 3 x= M
and x =mount of money each receive after the split=$32.19
Therefore total money from bake sale, M = 3x = 3 x 32.19 = $96.57
Step-by-step explanation: 2 per hour and per person because 8 x 5 is 40 so 400 divided by 40 equals 10 so then 10 divided by 5 is 2 so 2 per hour
