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Vadim26 [7]
3 years ago
11

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 dollar

s per hour and any bonus received, b.
Mathematics
1 answer:
uranmaximum [27]3 years ago
7 0

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

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<h3>Standard form equation of a quadratic function.</h3>

It follows from the task content that the standard form equation of the quadratic function is to.be determined.

Since the standard form equation can be derived from the vertex form equation as follows;

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Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.

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Theo's base salary  using a simultaneous equation approach is $2,996.22 .

In order to determine the base salary of Theo, we can express the two earnings and sales amounts using simultaneous equation, that we would solve to arrive at the base salary

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