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Lesechka [4]
2 years ago
10

Carolina is mowing lawns for a summer job. For every mowing job, she charges an initial fee plus \$6$6dollar sign, 6 for each ho

ur of work. Her total fee for a 444-hour job, for instance, is \$32$32dollar sign, 32. Let FFF represent Carolina's fee (in dollars) for a single job that took ttt hours for her to complete.
Mathematics
1 answer:
alexdok [17]2 years ago
3 0

Answer: Our required function F(t) would be

F(t)=6t+8

Step-by-step explanation:

Since we have given that

Let the number of hours be 't'.

Amount for each hour = $6

Let F(t) be the total fee for a single job that took t hours for her to complete.

F(t)=6t+x

According to question, for 4 hour job, total fee is $32.

So, it becomes,

32=6\times 4+x\\\\32=24+x\\\\32-24=x\\\\\$8=x

Hence, our required function F(t) would be

F(t)=6t+8

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Answer:

7 inches

Step-by-step explanation:

Height : Diameter

14 : 6

H : 3

H/14 = 3/6

H = 14 × 3/6

H = 7

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Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides. 
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2 years ago
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If 2x2 + y2 = 17 then evaluate the second derivative of y with respect to x when x = 2 and y = 3. Round your answer to 2 decimal
Vera_Pavlovna [14]

Answer:

y''=-1.26

Step-by-step explanation:

We are given that 2x^2+y^2=17

We have evaluate the second order derivative of y w.r.t. x when x=2 and y=3.

Differentiate w.r.t x

Then , we get

4x+2yy'=0

2x+yy'=0

yy'=-2x

y'=-\frac{2x}{y}

Again differentiate w.r.t.x

Then , we get

2+(y')^2+yy''=0 (u\cdot v)'=u'v+v'u)

2+(y')^2+yy''=0

Using value of y'

yy''=-2-(-\frac{2x}{y})^2

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Substitute x=2 and y=3

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y''=-\frac{18+16}{9\times 3}=-\frac{34}{27}

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2 years ago
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With 6 people preparing bags, they would be able to prepare 6 bags every 2 minutes.

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Divide that answer by 60 to get the numbe of hours.

The answer is 5 hours.

Hope that helps.- UF aka Nadia
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2 years ago
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share one tip or suggestion on how others can represent real-life situations using rational functions​
posledela

Answer:

The answer is below

Step-by-step explanation:

There are various tips or suggestions on how others can represent real-life situations using rational functions​, one of them is the application of a work problem formula.

By using the work problem formula, one can measure the time it will take different people working at different speeds to complete the work. With the formula w =r*t. Where w = work done, r = rate of work donee, and t = time

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