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emmasim [6.3K]
3 years ago
8

Solve for all valúes of x

Mathematics
1 answer:
malfutka [58]3 years ago
7 0

Answer:

2x/(x+3) +3/(x-3) = 8/(x^2

[2x(x-3) +3(x+3)]\( x^2 - 9) =8/(x^2 -9)

2x^2 -6x +3x +9=8 (x^2 -9) /(x^2 -9)

2 x^2 -3x +9 -8=0

2 x^2 -3x +1 =0

2x^2 -2x -1x +1 =0

2x(x-1) -1(x-1)=0

(x-1)(2x-1)=0

either, or, 2x-1=0

x-1 =0 2x =1

x =1 x= 1/2

hence, x= 1, 1/2

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N-
pogonyaev

Answer:

The answer is (0, 2)

Step-by-step explanation:

Ive also had this question and viewed iver it and said it was right this was some time ago but im glad to help :)

6 0
3 years ago
Eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he
alexandr1967 [171]

Answer:

The answer for part A: If the city is hotter in temperature more people will want the cold refreshing lemonade.

Part B: The line of best fit is a line that will have the same amount of point on each side so you should draw a straight line and then make sure it has the same amount of point on each side. To calculate the slope use Y2-Y1/X2-X1, Y-intercept is the point that intercepts the Y-intercept.

Step-by-step explanation:

Part A: Because if it is hot outside you will sweat more being less hydrated which is why more people would want a drink especially lemonade.

8 0
3 years ago
Read 2 more answers
Write an equation in standard form of the line that passes through the given points (-2,6) (-8,-5)
Lunna [17]
Find the slope
m= -5-6 / -8-(-2)
m= -11/-6
m=11/6

Use slope and point to create equation
y-6= 11/6(x-(-2))
y-6=11/6x+22/6
y=11/6x+58/6
y=11/6x+29/3

Change to standard form
Standard form: ax + by = c
-11/6x+y=29/3
8 0
4 years ago
Read 2 more answers
A company tests the life of its rechargeable batteries over six months of use. They test how long a battery will last after a fu
jonny [76]

Answer:

18.6 months

Step-by-step explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.

4 0
3 years ago
A store sold 2.5 times as many footballs as basketballs last year. What is the number of footballs sold for every basketball sol
bixtya [17]

Answer:

Step-by-step explanation:

You aren't able to figure out an exact number of either footballs or basketballs because you don't have enough information for that, but you do have enough to get an expression for one in terms of the other, which I imagine is the point here.  We know that for every 1 basketball sold, we sold 2.5 footballs, so the algebraic expression for that is

1 bball = 2.5 fballs

This gives us the number of bballs in terms of fballs but we want the number of fballs in terms of bballs, so solve that expression for fballs:

1 fball = 1/2.5 bballs

or, in words, for every single football sold, 2/5 of a basketball was sold.  Sounds silly, but I think your teacher is trying to get you to figure out how to express one thing in terms of another so you can use the expressions in solving story problems.

:/

6 0
3 years ago
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