Calculus

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There are no equations in the question, simply a couple of expressions.

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70.5 m/60 m = X/80 cm

meters in majority, so

80 cm (1 meter/100 cm) = 0.8 m

restate

70.5 m/60 m = X/0.8 m

easy multiplication, multiply through by 1/0.8 m

70.5 m/48 m = X

1.46875 meters = X

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not quite exact, except at 2 decimal places which is the significant figure given

1.8 = 1.8

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0.00317 cubic meters = 1000000 x 0.00317 cubic centimeters = 3170 cubic centimeters

You infer that the value of x, which satisfies the equations or inequalities, is zero!

12x + 5 = y

Subtract 5 from both sides of the equation. Then divide both sides by 12. The 5 and 12 on the left cancel out, leaving only X.

x = (y - 5) / 12

no

only equations with x2 and lower powers can be considered quadratic.

those with x3 cannot be considered quadratic, just as x2 cannot be considered linear

That would be 7/8 (seven-eighths) of 360 degrees, which would be 315 degrees. Hope this helps!

It can be.

x-y=4

x=y+4

If: x+y = 79 Then: y = 79-x

If: xy = 1288 Then: x(79-x) = 1288 and it follows that: 79x-x2-1288 = 0

Solving the above quadtratic equation gives x a value of 23 or 56

So the values are x = 23 and y = 56

Check: 23+56 = 79 and 23*56 = 1288

3 mm is 0.3 centimetres.

y = -2/5

4(x^2 + x + 3)

z2

The trick with this kind of question is to find two terms that add up to the middle one (28x), and whose coefficients are equal multiples of the first and last term:

12x2 + 28x - 17

= 12x2 - 6x + 34x - 17

= 6x(2x - 1) + 17(2x - 1)

= (6x + 17)(2x - 1)

The only trick with this technique is that sometimes it's difficult to find those two middle terms (-6x and 34x in this case). If it takes too long to figure this out, you can actually break it down into ~another~ quadratic equation, which will usually be easier to factor, and give you those two values. Consider:

Let "a" and "b" be the unknown coefficients. We know:

b = 28 - a <-- we know this because they must add up to the middle term

12/a = b/17 <-- this must be true in order for us to end up with a common multiple.

∴ 12/a = (28 - a)/17

∴ 28a - a2 = 204

∴ a2 - 28a + 204 = 0

We can then solve for "a" by factoring this equation:

(a - 34)(a + 6) = 0

So our coefficients are the two possible values for "a", 34 and -6. We can then simply plug them in to the original equation and factor it out as shown above.

4 275 dollars

2(1) + 3 = 5

2 + 3 = 5

x = 1

It is 6786430.

5x + 6 = 1 / 4(13x-11)
(5x+6)(4)(13x-11)= 1
4(65x2-55x+78x-66)=1
260x2 +92x-264-1=0
260x2+92x-263=0
Graph y = 260x2 +92x -263 and find its zero or use the quadratic formula

X=2

Yes, of course - see the "Related Links" section!