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steposvetlana [31]
3 years ago
10

Which of the following must be true about p?

Mathematics
1 answer:
Rainbow [258]3 years ago
8 0

9514 1404 393

Answer:

  B, C, F, H

Step-by-step explanation:

When the function has end behavior that goes to opposite infinities, the degree must be odd, as here.

When the function goes to infinity with the same sign as the variable, then the leading coefficient must be positive, as here.

When the function crosses the y-axis at a negative value, the constant must be negative, as here.

When the function crosses the x-axis at a zero, the zero must have odd multiplicity, as for the zero x=1 here.

Choices B, C, F, H apply.

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A ferry operator takes tourists to an island.
Oksanka [162]

The fare of $(20 - 2.5) = $17.5 will maximize the total fare.

<h3>What is Differentiation?</h3>

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, The operator for a round-trip fare of $20, carries an average of 500 people per day.

It is estimated that 20 fewer people will take the trip, for each $1 increase in fare.

for $x  increase in fare, 20x less people will take the trip and at that time the total fare F is given by  

f(x) =(20 + x)(500 - 20x)

f (x) = 10000 + 100x - 20x²

For f(x) to be maximum, the condition is dy/dx = 0

 100 - 40x = 0

⇒ x = 2.5  

Thus, the fare of $(20 - 2.5) = $17.5 will maximize the total fare.

Learn more about Differentiation from:

brainly.com/question/24062595

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3 0
2 years ago
the following equation represents the total distance (d) that the Benson family has traveled from their home, after traveling 10
Pani-rosa [81]

Answer:

The distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents  292.5 miles

Step-by-step explanation:

The given equation for the distance the Benson family traveled from their home can be presented as follows;

d = 55·t + 100

Where;

d = The total distance that the Benson family has traveled from their home after traveling 100 miles to pick up their grandparents

t = The time duration the Benson family have been traveled from their grandparents home on the way to their vacation

To find how far from their home the Bensons will be after 3 1/2 hours of driving with their grand parents, we substitute t with 3 1/2 hours or 3.5 hours as follows;

d = 55·t + 100

When t = 3\frac{1}{2} hours, we get;

d = 55 \times 3\frac{1}{2} + 100 = 292.5  \ miles

Therefore, the distance the Bensons had traveled from their home 3\frac{1}{2} hours after picking up their grand parents = 292.5 miles.

7 0
3 years ago
What is 462 divided by nine
Nadya [2.5K]

Answer:

51.3

Step-by-step explanation:


7 0
3 years ago
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Logs are stacked in a pile. The top row has 15 logs and the bottom row has 24 logs. How many logs are there in the stack?
ziro4ka [17]
There are two ways you can do this. You can use the longer way:
15+16+17+18+19+20+21+22+23+24 = 195 (starting from the top row, which has 15 logs, up until the bottom row, which has 24 logs, on condition that each second row has one log more than the previous one)

You can also use the formula (where n is the number of rows)
x= (n(first term+last term))/2
x= (10(15+24))/2
x= (10*39)/2
x=390/2
x=195

Either way, there are 195 logs in the stack.
8 0
3 years ago
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In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
iragen [17]

Answer:

it is 0 feet moved


Step-by-step explanation:


3 0
3 years ago
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