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3 years ago

2x/x-3 - 6/x-3 . I need a step by step explanation , please

Mathematics

1 answer:

Harman [31]3 years ago

8 0

When adding/subtracting fractions you need a common denominator, but you already have one, which is x-3. So in general:

a/c-b/c=(a-b)/c so you just have:

(2x-6)/(x-3) now if you factor 2 from the numerator

2(x-3)/(x-3) the (x-3)s cancel out leaving

2

However! Note that division by zero is undefined, so x cannot equal 3. (because both original fractions had denominators of x-3)

What this all means is that that expression will equal 2 for all real values of x other than 3.

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an airplane is cruising at an altitude of 40000 feet begins at a distant to land it loses altitude at a rate of 1500 feet per mi

Lemur [1.5K]

27.7-. or is it something else?!?!?

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3 years ago

How much interest will she earn in 3 years?

alekssr [168]

For this, the equation is
90× 1.13³=y
X was replaced with y. Since she is gaining, you have to remember she is going to have 100 percent of what he had before, she will not lose any.
90× 1.13= 129.86
Now, we need to find the amount of interest she gained, so we have to subtract 90 from the total.
129.86-90=39.86
We can also find the answer by completing a small chart.
The first column will be the year. The second will be the amount. The third will be the interest for the year.
1 90 11.7
2 101.7 13.22
3 114.92 14.94
The total would round to 39.86, so her interest for the 3 year would be 39.86, with her having 129.86 altogether.

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3 years ago

Read 2 more answers

Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply

Lerok [7]

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

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3 years ago

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3 years ago

(look at the images) can i get help on these?

Svetlanka [38]

Answer:

see explanation

Step-by-step explanation:

JK + KL = JL , substitute values

2x + 1 + 6x = 81, that is

8x + 1 = 81 ( subtract 1 from both sides )

8x = 80 ( divide both sides by 8 )

x = 10

Thus JK = 2x + 2 = 2(10) + 1 = 20 + 1 = 21

KL = 6x = 6 × 10 = 60

--------------------------------------------------------------

JK + KL = JL , substitute values

2x + x + 2 = 5x - 10 , that is

3x + 2 = 5x - 10 ( subtract 3x from both sides )

2 = 2x - 10 ( add 10 to both sides )

12 = 2x ( divide both sides by 2 )

6 = x

Thus

JK = 2X = 2 × 6 = 12

KL = x + 2 = 6 + 2 = 8

JL = 5x - 10 = 5(6) - 10 = 30 - 10 = 20

------------------------------------------------------------

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d = $\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

with (x₁, y₁ ) = S(7, 3) and (x₂, y₂ ) = T(1, - 5)

d = $\sqrt{(1-7)^2+(-5-3)^2}$

= $\sqrt{(-6)^2+(-8)^2}$

= $\sqrt{36+64}$

= $\sqrt{100}$ = 10

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3 years ago