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3 years ago

Abc + def how many terms and factors

1 answer:

3 0

This expression has three terms: the variables x, y, and z. We say that the first term is x, that the second term is y, and so on. This expression also has three terms: the number 7, the function f(x), and the variable a.

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Prove (correctly) that if 1 = -1, then 2=1

Nitella [24]

Answer:

This may not be entirely satisfied proof but you should get the idea.

Proof: Start with 1 = -1.

Then we know that if a= b then a + c = b + c and also a / c = b / c.

So we can add 1 to both sides.

We have 1 + 1 = -1 + 1 ⇒ 2 = 0.

Now divide both sides by 2 and we would have 1 = 0.

Now add both sides by 1. This yields 2 = 1.

Therefore if 1 = -1 then 2 = 1.

QED

6 0

3 years ago

You start at (1, -4). You move left 6 units. Where do you end?

igor_vitrenko [27]

Answer:

You will end up at (-5, -4)

Step-by-step explanation:

you find where (1, -4) is on the graph than from that point move left 6 units.

4 0

2 years ago

Which fraction is greater 4/6 or 5/100

Lina20 [59]

Answer:

4/6 is the greater of the two.

Step-by-step explanation:

4/6 = 200/300

5/100 = 15/300

200/300 is visibly clear to be larger than 15/300.

8 0

3 years ago

Solve the following equation simultaneously 1/x-5/y=7, 2/x+1/y=3

maria [59]

Answer:

(x, y) = (1/2, -1)

Step-by-step explanation:

Subtracting twice the first equation from the second gives ...

(2/x +1/y) -2(1/x -5/y) = (3) -2(7)

11/y = -11 . . . . simplify

y = -1 . . . . . . . multiply by y/-11

Using the second equation, we can find x:

2/x +1/-1 = 3

2/x = 4 . . . . . . . add 1

x = 1/2 . . . . . . . multiply by x/4

The solution is (x, y) = (1/2, -1).

_____

<em>Additional comment</em>

If you clear fractions by multiplying each equation by xy, the problem becomes one of solving simultaneous 2nd-degree equations. It is much easier to consider this a system of linear equations, where the variable is 1/x or 1/y. Solving for the values of those gives you the values of x and y.

A graph of the original equations gives you an extraneous solution of (x, y) = (0, 0) along with the real solution (x, y) = (0.5, -1).

6 0

2 years ago

You are planning to make an open rectangular box from aa 4141-in.-by-8181-in. piece of cardboard by cutting congruent squares

marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

$V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\$

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0

3 years ago