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1.2/3 = 0.4

3.6/9 = 0.4

So it looks like the scale factor was 0.4.

This graph should help

The minimum value of y will occur when x = 0, at which point y = 6.

Or did you mean to write 2x² +8x -2?  

For the general quadratic, ax² + bx + c the vertex occurs at x = -b/(2a).

Just generate a few terms of the 12_times table:

12*1 = 12

12*2 = 24

12*3 = 36

12*4 = 48

etc.

You should be able to see from this.

x^-2/3 = x^3/2

Multiply both sides by x^2/3

1 = x^3/2*x^2/3

1 = x^13/6

x = 1^6/13

x = 1

14 fourteen

The square root of 81 is 9 and the square root of 9 is 3, so 81^1/4 = 3 (or -3)

Check

$${{\mathtt{3}}}^{{\mathtt{4}}} = {\mathtt{81}}$$

$${\left(-{\mathtt{3}}\right)}^{{\mathtt{4}}} = {\mathtt{81}}$$

A property of logarithms is that log(a) + log(b) = log(a*b) so

log(2x-3) + log(4x + 2) = log(3) becomes

log[(2x - 3)*(4x + 2)] = log(3)

So we must have that (2x - 3)*(4x + 2) = 3

Expand the bracketed terms to get 8x² -8x - 6 = 3

Subtract 3 from both sides

8x² -8x - 9 = 0

Solve for the two values of x using the quadratic formula

x = (8 ± √(64 - 4*8*(-9)) )/(2*8)

x ≈  1.673  and x = -0.673

Just enter this in the calculator on the home page here as (4/3)*pi*8.4^3

Depends what sort of calculation you want to do!  Imaginary numbers involve the square root of -1, which we normally represent by the letter i (unless you are an electrical engineer, when you use the letter j).

There are no real values of x for which x² + 6x + 10 is less than zero.  The minimum value of this quadratic exprssion is 1 (when x = -3).

Express both terms over a common denominator.  5/14 is 15/42 and 10/21 is 20/42 so

5/14 + 10/21 = 15/42 + 20/42 = (15 + 20)/42 = 35/42 = 5/6

7.5 × .25 = 1.875

You're just multiplying by -1:

(1 x -1) = -1

(-1 x -1) = 1

(1 x -1) = -1

(-1 x -1) = 1

And so on.

9 + 5a = 2a + 9                 
9 + 3a = 9               (Previous line minus 2a)

3a = 0                     (Previous line minus 9)

a = 0                       (Previous line devided by 3)

Hope that helps!

x=-52

31,536,000

actually thats not 2 thats one , becoz i wrote four down , two to go so that means two are left!anyways thanks!i hope i do well!learning another language isnt easy!

Good, luck. I know whats thats like. Hope you do well on your test today, and hope you did

well on your last 2 exam you did befor the one today.  :)

DragonSlayer we just have to simplify this!

yes 57 can be divided by 3 like 57/3 = 19 ANSWER

if this is a serious question then , : what do you mean?

and

if this is a fun-to-create kinda question then : im sorry i dont know?

so pls tell me what this is?

i hope so i hope so!but....................if our lovely welwishers , our teachers do tooooooo strict marking then i my grades will have to kneel down infront of them!

to my grades; fight with all your might , and not lose hope!

Ah okay. This was a nice refresher simplifying polynomials. 

Total sugar used in 10 days = 96 - 15.2 = 80.8 pounds

Average sugar used per day = 80.8 pounds/10 days = 8.08 pounds/day