Most people would leave it as 2x - 3, but you could factorise it as 2(x - 1.5).

Click and hold on the sin button.

$${\mathtt{181}} = {\mathtt{1.81\times 10^{2}}}$$

8(-6m+1)=-33-7m   distribute the 8 over the terms in the parentheses

-48m + 8  = 33 - 7m   add 48m t both sides, subtract 33 from each side

-25 = 41m       divide both sides by 41

-21/41 = m

$${\mathtt{7}}{\mathtt{\,\times\,}}\left(\right){\mathtt{\,-\,}}{\mathtt{1}} = {\mathtt{\,-\,}}{\mathtt{1}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}{\mathtt{\,\times\,}}\left(\right)$$

BUT, what is your x value??

Just divide "pi" by 3     {you can use the value  3.14 for pi}

This isn't  the "sine of negative 1" ....  it's the sine inverse.......it returns an angle whose sine = 5/8....so we have

sin-1 (5/8) =  about 38.68 degrees  ...... it also could be a second quadrant angle .... =  about 141.32 degrees

100.5 you're welcome

162 factors as 81 * 2 and as 9 *9 * 2

And 81 and 9 are both perfect squares.......

This distance is the square root of the area = 14 m

*a lot

Always two seperate words.  'Alot' is not a word, use 'a lot'.

Here's a good tool to do that with....easy to use, too.....!!!!

The y-intercept is (0, -3)

To find the x-intercepts, set the function to 0

x^4-7x^2-3 = 0      this will not factor....let's use the on-site solver

$${{\mathtt{x}}}^{{\mathtt{4}}}{\mathtt{\,-\,}}{\mathtt{7}}{\mathtt{\,\times\,}}{{\mathtt{x}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{3}} = {\mathtt{0}} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{{\sqrt{{\sqrt{{\mathtt{61}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}}}}{{\sqrt{{\mathtt{2}}}}}}\\
{\mathtt{x}} = {\frac{{\sqrt{{\sqrt{{\mathtt{61}}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{7}}}}}{{\sqrt{{\mathtt{2}}}}}}\\
{\mathtt{x}} = {\mathtt{\,-\,}}{\frac{{\sqrt{{\sqrt{{\mathtt{61}}}}{\mathtt{\,-\,}}{\mathtt{7}}}}{\mathtt{\,\times\,}}{i}}{{\sqrt{{\mathtt{2}}}}}}\\
{\mathtt{x}} = {\frac{{\sqrt{{\sqrt{{\mathtt{61}}}}{\mathtt{\,-\,}}{\mathtt{7}}}}{\mathtt{\,\times\,}}{i}}{{\sqrt{{\mathtt{2}}}}}}\\
\end{array} \right\} \Rightarrow \left\{ \begin{array}{l}{\mathtt{x}} = -{\mathtt{2.721\: \!235\: \!902\: \!665\: \!060\: \!4}}\\
{\mathtt{x}} = {\mathtt{2.721\: \!235\: \!902\: \!665\: \!060\: \!4}}\\
{\mathtt{x}} = -{\mathtt{0.636\: \!494\: \!177\: \!470\: \!090\: \!6}}{i}\\
{\mathtt{x}} = {\mathtt{0.636\: \!494\: \!177\: \!470\: \!090\: \!6}}{i}\\
\end{array} \right\}$$

So....we have two "real" x intercepts and two "non-real" solutions......note....because of the symmetry of the solutions......... this graph is also symmetric to the origin   

twenni wan

21 man

you first convert 4^3 to 64 then convert 64 to 2^6 now your bases are the same so x=6

The area is given by 1.720477s^2 where s is the side length = 1.720477(4.52)^2 = 35.15 sq in.

Let x be the price of pears per Kg.....then we have

2.55 kg  of apples x  1.55 (cost  per kg)  = about 3.95

So, the pears must be the remainder of the cost = 6.72 - 3.95 = 2.77

So, the total cost of pears / quantity = cost per Kg = 2.77 / 1.4 =  about 1..98 £ per kilo

(12⁵ · 12³) / 12⁴

When multiplying numbers with the same base, add the exponents, so (12⁵ · 12³)  =  12⁸

12⁸ / 12⁴  =  12⁴  (When dividing numbers with the same base, subtract the exponents.)

Use the distributive property:  6(h - 4)  =  6(h) - 6(4)  =  6h - 24

In the equation:  2.91(1.07)^t  =  2.91(1 + .07)^t

2.91 is the initial amount and the yearly growth factor is 1.07, which is 7%.

To find consumption in 1955, find the number of years after 1940:  1955 - 1940 = 15.

15 is the value of t, so use a calculator to evaluate:  2.91(1.07)¹⁵

Using the calculator at this site:

enter 2

press the x^y key

enter 10

press the = key

Of the 100 students, 37 take only Spanish. Subtracting 37 from 100 gives us 63 students who are taking either both Spanish and Chinese or only Chinese.

So, there are 63 students who are taking Chinese (just Chinese or both Chinese and Spanish).

Since the number of students taking Chinese is 8 more than the number of students taking Spanish, 63 - 8 + 55 students taking Spanish (just Spanish or both Spanish and Chinese).

Of these 55 students, 37 are only taking Spanish, therefore, 55 - 37 = 18 students who are taking both languages.

I guess a whole lot shorter way of looking at this is:  for there to be 8 more students taking Chinese than Spanish, there must be 8 more students who are taking only Chinese than who are taking only Spanish:  37 + 8 = 45. Since 37 are taking only Spanish and 45 are taking only Chinese, 100 - (37 + 45) = 18 students who are taking both languages. 

4.5% means 4.5 out of 100   --->   4.5/100  =  0.045

$11.25 x 0.045  =  $0.51 (rounded)

If you are looking at a right triangle, the cosine of an angle is the length of the side adjacent to the angle divided by the length of the hypotenuse.

cos = adj/hyp