Question 1

Find the length of the unknown side.

Accepted Answer

The answer of Find the length of the unknown side....

Question 2

Factor the binomial completely.

A) 
B) 
C) 
D) The binomial is prime.

Accepted Answer

The answer of Factor the binomial completely.

A) 
B) 
C) 
D)...

Question 3

Find the perimeter.

Accepted Answer

The answer of Find the perimeter. ...

Question 4

Once an antibiotic is introduced to bacteria, the number of bacteria decreases exponentially. For example, beginning with 1 million bacteria, the amount present  t  days from the time penicillin is introduced is given by the function

Rounding to the nearest thousand, determine how many bacteria are present after 6 days.
A) 548,000
B) 0
C) 660,000
D) 601,000

Accepted Answer

The answer of Once an antibiotic is introduced to bacteria,...

Question 5

Multiply the conjugates.

Accepted Answer

The answer of Multiply the conjugates. ...

Question 6

A car travels west 8 miles and then north 15 miles. How far is the car from its starting point?
A)The car is 17 miles from its starting point.
B)The car is 144.5 miles from its starting point.
C)The car is 4.8 miles from its starting point.
D)The car is 23 miles from its starting point.

Accepted Answer

The distance from the starting point can be found using the Pythagorean theorem, where the total distance is the hypotenuse of a right triangle with sides of 8 miles and 15 miles. Thus, the distance is √(8^2 + 15^2) = √(64 + 225) = √289 = 17 miles.

Question 7

Clear parentheses and combine like terms.

Accepted Answer

The answer of Clear parentheses and combine like terms. ...

Question 8

Graph the function 
A)

B)

C)

D)

Accepted Answer

The answer of Graph the function 
A)

B)

C)

D)...

Question 9

Factor completely.

Accepted Answer

The answer of Factor completely. ...

Question 10

Find the simple interest and the total amount including interest.

Accepted Answer

The answer of Find the simple interest and the total...

Question 11

Simplify the expression. Write the answer in exponent form.

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 12

Apply the appropriate property to simplify the expression.

A)

B)

C)

D)

Accepted Answer

The answer of Apply the appropriate property to simplify the...

Question 13

Solve the equation by using the quadratic formula.

Accepted Answer

The answer of Solve the equation by using the quadratic...

Question 14

b  is inversely proportional to  c . If  b  is 2 when  c  is 10 , find  b  when  c=5 .
A) 1
B)  b=200 
C)  b=20 
D)  b=4

Accepted Answer

When two quantities are inversely proportional, it means that when one quantity increases, the other decreases at a rate such that their product is constant. Given $b \propto \frac{1}{c}$, when $b = 2$, $c = 10$, so their product is $2 \times 10 = 20$. To find $b$ when $c = 5$, we set up the equation $b \times 5 = 20$, solving for $b$ gives $b = 4$.

Question 15

Multiply the polynomials.

Accepted Answer

The answer of Multiply the polynomials. ...

Question 16

Subtract the polynomials.

A) 
B) 
C) 
D)

Accepted Answer

The answer of Subtract the polynomials.

A) 
B) 
C) 
D) ...

Question 17

Factor the binomial completely.

Accepted Answer

The answer of Factor the binomial completely. ...

Question 18

Use the commutative and associative properties of real numbers and the properties of exponents to simplify the expression.

Accepted Answer

The answer of Use the commutative and associative properties of...

Question 19

Simplify the expression. Write the answer in exponent form.

Accepted Answer

The answer of Simplify the expression. Write the answer in...

Question 20

Use the distance formula to find the distance between the two points.

Accepted Answer

The answer of Use the distance formula to find the...

Quiz 4: Living in a Nonlinear World

Find the length of the unknown side.

Factor the binomial completely.

Find the perimeter.

Multiply the conjugates.

A car travels west 8 miles and then north 15 miles. How far is the car from its starting point?

Clear parentheses and combine like terms.

Graph the function

Factor completely.

Find the simple interest and the total amount including interest.

Simplify the expression. Write the answer in exponent form.

Apply the appropriate property to simplify the expression.

Solve the equation by using the quadratic formula.

b is inversely proportional to c . If b is 2 when c is 10 , find b when c=5 .

Multiply the polynomials.

Subtract the polynomials.

Factor the binomial completely.

Use the commutative and associative properties of real numbers and the properties of exponents to simplify the expression.

Simplify the expression. Write the answer in exponent form.

Use the distance formula to find the distance between the two points.