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sesenic [268]
3 years ago
11

Homer and bart plan to buy one computer for 499.00 strictly for gaming purposes. Games cost 49.99 each. define each variable and

write an algebraic expression to describe how much they will spend before sales tax based on purchasing the computer and the number of games
Mathematics
2 answers:
erik [133]3 years ago
5 0
T=499.00+49.99g T is total cost g is number of games
BARSIC [14]3 years ago
3 0

Answer:

The algebraic expression is y=499.00+49.99x where <em>x</em> is the number of games they bought and <em>y</em> be the total cost.

Step-by-step explanation:

Consider the provided information.

The cost price of computer is 499.00

Let <em>x</em> is the number of games they bought and <em>y</em> be the total cost (before sales tax).

The cost of each game is 49.99. If they bought <em>x</em> games, then the total cost will be:

y=499.00+49.99x

Therefore, the algebraic expression is y=499.00+49.99x where <em>x</em> is the number of games they bought and <em>y</em> be the total cost.

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strojnjashka [21]
The question that is asked is pretty straight forward. Only thing that needs to be found is the number of 30 in the number 600. By dividing 600 by 30 we can arrive at the desired result.
Number of 30 in 600 = 600/30
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So there are 20 number of 30s in the number 600. This method can be used to find answers to several other similar kind of questions like the number of 10s in 1000.Following the same procedure we get
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1.) What is the equation of the path of firework #1? Write your equation in general form.
valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in y=ax^2+bx+c

it's easier to find vertex form first then expand to get general form

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firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

h_1=a(t-10)^2+50

to find the value of a, subsitute another point

(0,0)

0=a(0-10)^2+50)

0=100a+50

a=\frac{-1}{2}

so the equation in vertex form is h_1=\frac{-1}{2}(t-10)^2+50

expand to get general form

h_1=\frac{-1}{2}(t^2-20t+100)+50

h_1=\frac{-1}{2}t^2+10t-50+50

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2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is h_2=a(t-10)^2+72

find a

use another point

(0,22)

22=a(0-10)^2+72

22=100a+72

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a=\frac{-1}{2}

so the equation in vertex form is h_2=\frac{-1}{2}(t-10)^2+72




3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50


domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

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X, x+1
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