Which statement is TRUE about the Dred Scott Court Case in 1857?

(1 point)
Responses

The decision pleased both the North and South.

Abolitionists considered the decision a great victory.
Abolitionists considered the decision a great victory.

Slaves were classified as property without human rights.
Slaves were classified as property without human rights.

Expansion of slavery into new territories was declared illegal.
Expansion of slavery into new territories was declared illegal.

11 answers

The TRUE statement about the Dred Scott Court Case in 1857 is:

Slaves were classified as property without human rights.

The Supreme Court's decision in the Dred Scott case established that African Americans were not considered citizens and thus had no right to sue in federal court, and it ruled that enslaved people were considered property under the law.

The number of gallons g
in a swimming pool being filled with water is g=50x+1,000
, where x
is the number of hours since sunrise. It has been 10 hours since sunrise. What is the initial value?(1 point)

To find the initial value of \( g \) when it has been 10 hours since sunrise, we need to substitute \( x = 10 \) into the equation \( g = 50x + 1,000 \).

Substituting \( x = 10 \):

\[ g = 50(10) + 1,000 \] \[ g = 500 + 1,000 \] \[ g = 1,500 \]

In this context, the initial value would refer to the number of gallons of water in the pool at the start (when \( x = 0 \)):

Substituting \( x = 0 \):

\[ g = 50(0) + 1,000 \] \[ g = 0 + 1,000 \] \[ g = 1,000 \]

So, the initial value of \( g \) when \( x = 0 \) (at sunrise) is 1,000 gallons.

se the table to answer the question.

Days Fine
2 30 cents
3 45 cents
4 60 cents
The table shows the fine owed for an overdue library book according to how many days it is overdue. What is the initial value?

(1 point)
cents

The initial value in this context refers to the fine owed when the book is not overdue, which would be at 0 days. Since the table provided shows the fines for 2, 3, and 4 overdue days, we can deduce that:

  • For 2 days overdue, the fine is 30 cents.
  • For 3 days overdue, the fine is 45 cents.
  • For 4 days overdue, the fine is 60 cents.

To establish a pattern, we can see that the fine increases as the number of overdue days increases. If we look at the amounts, it appears that the fine starts accumulating after the first day.

If we assume the fines accumulate according to a pattern (likely at 15 cents per day since \(30\) cents for \(2\) days suggests \(15\) cents per day), we can determine that the initial fine (i.e., the fine for \(0\) days overdue) would be \(0\) cents.

Thus, the initial value is 0 cents.

Use the table to answer the question.

Years Amount
1 $1,080
2 $1,160
3 $1,240
The table shows the amount of money in a bank account after a certain number of years. What is the initial value?

(1 point)
$

The table shows the amounts in a bank account over several years:

  • After 1 year: $1,080
  • After 2 years: $1,160
  • After 3 years: $1,240

To find the initial value (the amount at year 0), we can observe the pattern of how much the amount increases each year:

  • From year 1 to year 2: \(1,160 - 1,080 = 80\)
  • From year 2 to year 3: \(1,240 - 1,160 = 80\)

This suggests that the account balance increases by $80 per year.

To find the initial value at year 0, we subtract $80 from the amount after 1 year:

\[ 1,080 - 80 = 1,000 \]

Therefore, the initial value (the amount in the account at year 0) is $1,000.

Victor will start paying off his credit card in January. He uses the function f(x)=−35x+2,500
to model the amount of money he owes x
months after January. How much money does he owe at the beginning of January?(1 point)
$

To find out how much money Victor owes at the beginning of January (which corresponds to \( x = 0 \)), we need to substitute \( x = 0 \) into the function \( f(x) = -35x + 2,500 \):

\[ f(0) = -35(0) + 2,500 \] \[ f(0) = 0 + 2,500 \] \[ f(0) = 2,500 \]

Therefore, Victor owes $2,500 at the beginning of January.

Cesar rents a bicycle for a flat rate plus $10 per hour. He models the cost of the rental with the function f(x)=10x+15
, where x
is the number of hours he rents the bicycle, and f(x)
is the total cost of the bicycle rental, including the flat rate and the hourly fee. What is the flat rate for the bicycle rental?(1 point)
$

Rem

In the function \( f(x) = 10x + 15 \), where \( x \) is the number of hours rented:

  • The term \( 10x \) represents the hourly cost, which is $10 per hour.
  • The constant term \( 15 \) represents the flat rate charged for the bicycle rental.

Therefore, the flat rate for the bicycle rental is $15.