365 Answered Questions for the topic Algebra II

05/27/22

#### Describe the transformation necessary to transform the graph of f(x) into that of g(x)

f(x)= lxlg(x)= lx+2l

#### The function models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x includes drivers from ages 16 through 74, inclusive.

The function models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, where x includes drivers from ages 16 through 74, inclusive. The...
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#### The height a ball bounces is less than the height of the previous bounce due to friction. The heights of the bounces form a geometric sequence.

The height a ball bounces is less than the height of the previous bounce due to friction. The heights of the bounces form a geometric sequence. Suppose a ball is dropped from one meter and rebounds...
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#### In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1327.

In March, a family starts saving for a vacation they are planning for the end of August. The family expects the vacation to cost $1327. They start with $120. At the beginning of each month, they...
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#### An amphitheatre has 20 seats in the first row, 24 in the second, 28 in the third, and so on, for 29 rows. How many seats are in the amphitheatre?

An amphitheatre has 20 seats in the first row, 24 in the second, 28 in the third, and so on, for 29 rows. How many seats are in the amphitheatre?

#### You are offered a job that pays $36,000 during the first year, with an annual increase of 10% per year beginning in the second year.

You are offered a job that pays $36,000 during the first year, with an annual increase of 10% per year beginning in the second year. That is, beginning in year 2, your salary will be 1.1 times...
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#### Given two terms of the arithmetic sequence, a3=25 and a8=−10, find a1 and d.

Given two terms of the arithmetic sequence, a3=25 and a8=−10, find a1 and d.

#### In ΔABC, ∠C is a right angle. Find the remaining side and angles. Round to the nearest tenth. b=1.6 c=3.3

In ΔABC, ∠C is a right angle. Find the remaining side and angles. Round to the nearest tenth.b=1.6 c=3.3

#### If it rains tomorrow, the probability is 0.6 that John will practice his guitar. If it does not rain tomorrow, there is only a 0.3 chance that John will practice.

If it rains tomorrow, the probability is 0.6 that John will practice his guitar. If it does not rain tomorrow, there is only a 0.3 chance that John will practice. Suppose the chance of rain...
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#### Determine the number of cycles the sine function shown to the right has in the interval from 0 to 2π. Find the amplitude and the period of the function.

Determine the number of cycles the sine function shown to the right has in the interval from 0 to 2π. Find the amplitude and the period of the function.

#### Find the amount in a continuously compounded account for the following condition.Principal, $3000; Annual interest rate, 5.5%; time, 2 years

Find the amount in a continuously compounded account for the following condition.Principal, $3000; Annual interest rate, 5.5%; time, 2 years

#### Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root. 2−5i

Write a polynomial function of least degree with rational coefficients so that P(x)=0 has the given root.2−5i

#### Complete the table, which shows the first and second differences in y-values for consecutive x-values for a polynomial function of degree 2.

Complete the table, which shows the first and second differences in y-values for consecutive x-values for a polynomial function of degree 2.

#### Find the factored form of the expression. Check your answer.

Find the factored form of the expression. Check your answer. 6x^2+486=0

#### A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.

A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.a. How long is the jumper in free...
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#### Find the time it takes for the cannonball to strike the ground.

If a certain cannon is fired from a height of 7.9 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by...
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#### What's the smallest amount, in dollars, that you can charge and make a profit of at least $118?

Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that n your class charges for each box of seeds. The equation p=−0.5x2+25x−107 models the...
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#### A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.

A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=−16t2+1700 gives the jumper's height h in feet during the free fall at t seconds.a. How long is the jumper in...
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#### A model for a company's revenue from selling a software package is R(p)=−2.5p2+650p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

A model for a company's revenue from selling a software package is R(p)=−2.5p2+650p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

#### How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to get the desired concentration?

A laboratory technician needs to make a 42-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 10% to...
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#### Evaluate the expression for the given values of the variables.

Evaluate the expression for the given values of the variables.−k^2−(8k−5n)+9n; k=−2 and n= -5

#### Write the compound inequality as an absolute value inequality.

Write the compound inequality as an absolute value inequality.1.7≤h≤1.9

#### Suppose the stadium takes in $1,448,500 from each sold-out event. How many seats does each section hold?

A stadium has 55,000 seats. Seats sell for $35 in Section A, $20 in Section B, and $15 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C....
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