MATHEMATICS HIGH SCHOOL

The relationship between the Fahrenheit (F) and Celsius (C) temperature scales is given by the linear function below.F = 9/5 C+32
(a) What is the slope of the graph?
(b) What is the F-intercept?

Answers

Answer 1
Answer: relationship \ is \ expressed \ by : \n\n F = (9)/(5)\cdot C + 32 \n \n this \ equation \ is \ in \ the \ slope-intercept \ form \ of \ y = mx + b \ where:\n\n

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The assignment is about : Subtract Polynomials What i have to do : Subtract the polynomials, showing all the steps necessary to write the answer in simplest form. 1. (3x^1 + 8) - (2x^2 + 1)

2. (5x^2 + 3x - 4) (x^2 - 6x )

please show work

Answers

1. 3x^1 + 8 - (2x^2 + 1).....distribute the negative thru the parenthesis
    3x^1 + 8 - 2x^2 - 1....now combine like terms
    -2x^2 + 3x^1 + 7

2. 5x^2 + 3x - 4 - (x^2 - 6x)...same thing..distribute
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    4x^2 + 9x - 4

On a new construction site, an electrician can install a new light fixture in 20 minutes. A project calls for 24 new fixtures to be installed on each of 4 floors. If a work day is 8 hours, how many work days will it take two electricians to complete the installations?

Answers

20 minutes per fixture.
24 fixtures per floor. = 20*24 = 480 minutes per floor
4 floors. = 1920 minutes total.
1920 minutes = 32 hours (divide by 60)

32 hours/2 electritians = 16 hours per person
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Matthew had the following times in two races:3.032 minutes and 3.023 minutes .Use >,<,or = to make the sentence true

Answers

3.032 > 3.023
3.032 is greater because instead of the 2 in 3.023, there is a greater value in the second number, 3.

Hope this helps :)
3.032 > 3.023 because 32 is bigger than 23.

Rachel can make 3 bracelets in an hour. Oliver can make only 2 bracelets in an hour, but he already has completed 5 bracelets. Explain to Rachel how she can use a system of equations to determine when she will have the same number of bracelets as oliver.

Answers

Since rachel makes 3 bracelets an hour, her pinear equstion should be y=3h. 3 represents the rate of change and h represents the number of hours as a variable.
Oliver's linear equation is y=2h+5 because 2 is the rate of chabge and 5 is the b value or the y intercept in a linear equation y=mx+b. To find when both have the same number of bracelets, we find the point of intersection...
2h+5=3h
5=3h-2h
5=h
Therefore in 5 hours, both will have the same amount of bracelets.
Hope this helps;)

Answer:

5 hours and 15 bracelets

Step-by-step explanation:

Rachel makes 3 bracelets per hour so you can set that up as the equation y=3x.  Oliver can make 2 bracelets per hour but already has 5 so the equation for that is y=2x+5.  These equations form a system of equations because the values for x and y are the same in both equations. This is true because the goal is to find out when Rachel and Oliver swell the same amount of bracelets. In order to solve this, you must set both of the equations equal to each other, this can be done because both equations are equal to y.  The equation you now have is 3x = 2x+5.  This can be solved as you would solve any linear equation; by isolating the x value then dividing it.  In this case, when you do this you subtract 2x from both sides then get x=5 there is not a number multiplied by x so dividing, in this case, is not necessary.  Now plug the value of x back into one of the original equations, y=15 should be the answer.  Now you know that after 5 hours both Rachel and Oliver will have made 15 bracelets.  

What times 4 gives you 21

Answers

21 divided by 4 is 5.25.
yes he is correct.
21/4 = 5.25

What is the quotient of -8x^6 over 4x^-3 a) x^9 over 32
b) 4x^9
c) -12 over x^2
d) -2x^9

Answers

(-8x^6) / (4x^3) can be broken down as (-8/4) * (x^6/x^-3)
you should know that -8/4 is -2
the second part is dividing variables at different powers which is kinda like subtracting powers

think of it as x ^ (6-(-3))
you get x^9
-2 * x ^9
= -2x^9
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