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f(3/4)  =  [ x - 4] / [2x - 5]  =

[(3/4) - 4] / [ 2(3/4) - 5]  =

[3/4 - 16/4] / [ 6/4 - 20/4]  =

[-13/4] / [ -14/4]  =

(-13/4) * (4 / -14)   =

(-13/-14) * (4/4)  =

(13/14) * 1  =

13 /14

Can somebody please tell me why you don't count the last 2 digits?

Yes. I tried. 516 is the correct solution. No time to explain rn. I am just 100% sure that >516< is the correct solution.

a.  [3.2 x 10^7] x 77/100 =24,640,000 =2.464 x 10^7. Count the number of digits from right to left until you get to the last digit, which is 2. You must NOT include this last digit(2) in the count. If you do that right, you will see that there are only 7 digits, which is the exponent or power of 10 in your scientific notation.

b. [3.2 x 10^7] x 1.04 =33,280,000 =3.328 x 10^7. You count exactly the same as above and you should get the right answer.

7/10

Yep.....it looks to pass the vertical line test which says that if we draw any vertical line, we only cut the graph at one point..............

 [ 4 + 5/6 ]    +    [ 7 + 5/6  ]      reorder as

 [4 + 7 ] +  [ 5/6 +5/6]  =

11 + 10/6    =

11 + 1 +  4/6  =

12 + 4/6  =

12 + 2/3

((5x-4)*10)-5x   First distribute the 10 to get (5x*10)-(4*10)-5x. Simplify the expressions inside the parenthesis to get 50x-5x-40. Next, combine like terms to get 45x-40. Finally, factor out the GCF (5) to get 5*(9x-8).

42.07e^(0.75x) = y     divide both sides by 42.07

e^(0.75x)   = y/42.07       take the ln of both sides

ln e ^(0.75x)  = ln [ y / 42.07]      and we can write

0.75x * ln e   = ln [y / 42.07]          ln e  = 1, so we can drop this

0.75x =  ln [y / 42.07]       divide both sides by 0.75

x = ln [y / 42.07] /  0.75

Here's a graph  ........note that both functions lie on top of each other.......  https://www.desmos.com/calculator/wruc9clcgk

Remember that any negative raised to an odd integer power will remain negative........so we have......

(-1/3)³  = (-1/3) * (-1/3) * (-1/3)    =  (1/9) * (-1/3)   =   -1/27

That must have been a lot of work.

It's really cool.

I think this might be

x^2 +2x - 8  = 0       factor

(x + 4) (x - 2)  =  0      set both factors to 0   and x = -4    or x = 2

2 3/4 divide 1 1/5

Convert the mixed numbers to improper fractions

2 + 3/4   =  11/4

1 + 1/5  =  6/5          so we have

11/4  ÷   6/5        invert the second fraction and multiply

11/4  *  5/6    =      55/24   =  2 + 7/24

6x - (32y^2 - 3x) * ( 2-1y) = 25x - 3y^2 + (√20^2)     simplify

6x - (64y^2 -6x -32y^3 + 3xy) = 25x - 3y^2 + 20

12x - 64y^2 +32y^3 - 3xy  = 25x - 3y^2 + 20

32y^3 - 61y^2 -13x -3xy - 20  = 0              this does not have a single solution......here's the graph of all possible solutiions :

https://www.desmos.com/calculator/rnzejdmwlw

5 over 8 is similar to 20 over what?

\(\frac{5}{8}=\frac{5*4}{8*4}\)

and you can finish it :)

We do not know which question you are refering to ://

log10(Ws) = -5.374+3.191(log10*40)

1*(Ws) = -5.374+3.191(1*40)

Ws= -5.374+3.191*40

-5.374+3.191*40 = 122.266

We seem to need an adjudicator here   :))

What fraction must be subtracted from sum of 1/4 and 1/6 to have an avg of 1/12 of all the three fractions?

\(\frac{[\frac{1}{4}-x]+[\frac{1}{6}-x]+x}{3}=\frac{1}{12}\\ [\frac{1}{4}-x]+[\frac{1}{6}-x]+x=\frac{3}{12}\\ \frac{1}{4}-x+\frac{1}{6}-x+x=\frac{1}{4}\\ \frac{1}{4}+\frac{1}{6}-x=\frac{1}{4}\\ \frac{1}{6}-x=0\\ x=\frac{1}{6}\\ \)

Yep - I got to agree with CPhill on this one :))

(1+1/3)*(3+1/2) = 4.6666666666666667  metres squared:)

17-1000000000000000000000000000000000000000000000101001010100100101001

yes it is

-(1000000000000000000000000000000000000000000000101001010100100101001-17)

Solve the simultaneous question

You must show your working

Do not use a method of trial and improvement

ok I will use elimination method - I will eliminate x to solve for y, then I will substitute the answer to find x

5x + 2y = 1   (1a)       times through by 2

10x+4y=2     (1b)

2x - 3y = 8     (2a)    times through by 5

10x-15y=40

(1b)-(2b)

 10x-10x+4y--15y=2-40

4y+15y=-38

19y=-38

y=-2

Sub y=-2 into (1a)

5x+2*-2=1

5x-4=1

5x=5

x=1

so

x=1   and    y=-2

-2(x +3) < x -15    simplify on the left

-2x - 6  < x  -  15    add 2x, 15 to both sides

9 < 3x         divide both sides by 3

3 < x     →     x > 3

5y-7-8y-3 < 8       simplify on the left

-3y - 10   <   8    add 10 to both sides

-3y  < 18              divide both sides by -3 and reverse the inequality sign

y > - 6

So which bit can't you do?

Put them in order from smallest to largest.

The range is the highest score minus the smallest one.

the median is the score right in the middle (or the average of the 2 middle ones)

Do that first.

f(x)=3/x+2-square root x-2

Do you mean ....

\(f(x)=\frac{3}{x}+2-\sqrt x-2\\ or\\ f(x)=\frac{3}{x+2}-\sqrt {x-2}\\ \)

Or something else altogether