MATHEMATICS HIGH SCHOOL

Which ratio is expressed as a unit rate?A $1.00/$1.00lb
B 1page /3min
C 16in./16sec
D 67miles/60min

Answers

Answer 1
Answer:

Answer:

Option A.

Step-by-step explanation:

The question asked for a unit rate. This means that there should be no denominator higher than 1. Option A is the only one which have a denominator of 1.

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What adds to 3 and multiplies to -28

Find the slope of the line between y = 1/8x -1

Answers

Answer:

x/8 -1

Step-by-step explanation:

A bus is moving with a speed of 72 km/hr. Convert this speed to m/s.

Answers

Answer: 20m per second

Step-by-step explanation:

There are 1000 m in a km. This means that the bus is moving at a speed of 72000 m/hr.

There are 60 minutes in an hour. To find the speed per minute, you would divide both sides by 60.

(72000/60)m per (60/60)minute

1200 m per minute

There are 60 seconds in a minute. To find the speed per minute, you would divide both sides by 60.

(1200/60)m per (60/60)second

20m per second

What is the slope of the line?

Answers

Answer:

slope (m) = 7/4 or 1.75

Step-by-step explanation:

Given points (-1, -3) and (3, 4) from the graph, we can solve for the slope using the formula:

m = (y2 - y1)/(x2 - x1)

Let (x1, y1) = (-1, -3)

    (x2, y2) =  (3, 4)

Substitute the given values into the formula:

m = (y2 - y1)/(x2 - x1)

m = [4 - (-3)] / [3 - (-1)]

m = (4 + 3) / (3 + 1)

m = 7/4

Therefore, the slope of the line is m = 7/4 or 1.75

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Express the number in polar form 4 - 4i

Answers

Polar form of a complex number is r( cos(theta) + i sin(theta) )
r is equal to the total distance created by the rectangular coordinates of the complex number
r = Root(4^2 + (-4)^2) = Root(32) = 4 Root(2)
To find theta, if a > 0, use arctan(b/a), where:
a = the first number
b = the second number
arctan (-4/4) = -45 degrees (-0.7854 radians)
Your answer is 4 Root(2) (cos(-45) + i sin(-45))

Find the product.

a^4(3a ^2 - 2a + 1)

Answers


                   a⁴(3a² - 2a + 1)

We just have to multiply each term inside the parentheses by  a⁴  .

           a⁴(3a²        )  =  3a⁶
 
           a⁴(    - 2a    )  =  -2a⁵
 
           a⁴(            1)  =  a⁴

Now, just addum up :      3a⁶ - 2a⁵ + a⁴

Answer:

3A^6-2a^5+a^4

Step-by-step explanation:

HELP ME PLEASE!!What are the domain and range of the function f(x)=1/4(x^3+6x^2+5x-4)

choices:
domain: (-5,0)
range: (-2,0.5)

domain: (-3.5, 2.5)
range: (-0.5, -1.3)

domain: (infin., 1/4)
range: -4, infin.)

domain: (-infin., infin.)
range: (-infin., infin.)

Answers

Answer:

domain: (-infin., infin.)

range: (-infin., infin.)

Step-by-step explanation:

This is an odd degree polynomial which forms a sideways S shape starting low and ending high. Since nothing restricts the function from having an output for every real number input, the domain and range are (-infin., infin.).
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If anyone can assist with a step by step