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faltersainse [42]
3 years ago
10

Find a second degree polynomial for f(x) such so that h(x) is differentiable. additionally, f(x) has

Mathematics
1 answer:
bogdanovich [222]3 years ago
3 0
??? i need to know the shape ???
pls send a  pic so i can help
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Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must p
rusak2 [61]

The answer is incomplete. Here is the complete question:

Jamie and Stella are saving money to sign up for a school trip to Washington, D.C. In order to sign up for the trip, they must pay $600 upfront. Jamie earns his money by washing cars for $25 each. Stella earns her money by making pecan pies for $15 each. Jamie earns more money than Stella does because Stella only has enough supplies to make 40 pies. let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1: Write a constraint (an inequality) to represent how much money Jamie needs for his trip.

Part 2: Write a constraint (an inequality) to represent how much money Stella needs for her trip.

Part 3: Write a constraint (an inequality) to represent the limitations of Stella's supplies.

Part 4: Can Stella afford to sign up for the trip with the money she earns? Explain your answer and show any work that might support your answer.

Answer:

Part 1: 25x\geq 600

Part 2: 15y\geq 600

Part 3: y\leq 40

Part 4: Yes, she makes exactly 600 dollars by making 40 pies.

Step-by-step explanation:

Given:

Total money needed for the trip is 600 dollars.

Money earnt by Jamie for washing one car is $25.

Money earnt by Stella for making one pie is $15.

Let x represent the number of cars Jamie washes. Let y represent the number of pies Stella makes.

Part 1:

Since the cost for washing one car is $25

Therefore, the cost of washing x cars is 25x.

Now, in order to sign up for the trip, money obtained from car washing must be greater than or equal to $600.

Therefore, 25x\geq 600

Part 2:

Since the cost for making one pie is $15

Therefore, the cost of making y pies is 15y.

Now, in order to sign up for the trip, money obtained from pie making must be greater than or equal to $600.

Therefore, 15y\geq 600

Part 3:

As per the question, the maximum number of pies that Stella can make is 40. So, the value of y can't exceed 40 and must be less than or equal to 40. Therefore,

y\leq 40

Part 4:

Now, in order to sign up for the trip, Stella's total earning must be at least $600. So, 15y=600 is the minimum condition for signing up for the trip. Now, let us solve the above equation for y. This gives,

15y=600\\y=\frac{600}{15}=40

Therefore, minimum number of pies required for signing up for the trip is 40 and luckily that's the maximum supply Stella has for pies. Therefore, she can sign up for the trip by making all the 40 pies and earning a total of 600 dollars.

8 0
3 years ago
20 POINTS HELP Over time, the value of the property at 397 West Lake Street increased by 275%. If the initial value of the prope
Arlecino [84]

Answer: A is your answer.

6 0
3 years ago
Does 5mm, 1mm, 10mm make a triangle
pogonyaev

Answer:

Step-by-step explanation:

No. Each side must be less than the sum of the remaining two sides.

10 ≮ 5+1

6 0
2 years ago
Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h
rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

  • Original amount: 1 gallon.
  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
  • What's left: \displaystyle \frac{2}{3} gallons.

Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

\displaystyle x = \frac{2}{15}.

In other words, Catherine's sister ate \displaystyle \frac{2}{15} gallons of the ice cream.

3 0
3 years ago
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What is -2 1/2+1 1/2​
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The correct answer is -1
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3 years ago
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