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Yep.....always true

B =  2pi  / period     

First one....the  scale  factor  for  the dilation can be found  by a comparison of any similar sides....so, for instance:

C'E'  / CE  = 2.5 / 5   =    1/2

Gamemaster how come you only have 125 points? In five years you posted 307 questions and 225 answers but you only have 125 points. Were your points deducted because you cheese your homework?  

Thank you so much! I appreciate the fast response! 

So, correct me if I'm wrong, but 2pi / period is always used to get B in the equation? 

g =7

h = 5

Work out the value of 3g + 2h

This problem requires just substitution alone. We already know the values of g and h both, which are 7 and 5 respectively. If we substitute 7 for g, and 5 for h, we will get our desired answer. The expression of 3g + 2h then becomes:

3 * (7) + 2 * (5) 

This is equivalent to:

21 + 10 = 31

I get that you're frustrated, but not everyone is like this. It's unfair to the people who actually do want help so they can understand. I also think it's unfair to people like you who just get taken advantage of, but posting stuff like this isn't going to help anyone. I suggest taking your frustrations out on something else. Read a book, ride a bike, paint, ect. I hope you feel better soon. 

We  have  this form :

y = A cos (Bx)  +  C

A  = the amplitude  = 5

B =   2pi / period =      2pi  [ (6/5) pi ]  =  2 / (6/5)   =    2 (5/6)  =  10/6 =   5/3

C   = the vertical  shift   =   -6

it isnt?

If each cat  eats  1/4  of a tin per day.....then in one day  they  eat  1/4 + 1/4  =  1/2  of a tin per day

So.....the  number of days  that 9 tins will last  is

9 / (1/2)   =

9 * (2/1)   =   

9 * 2   =

18 days

Look  at    f(x)

Note  that this  is a line with a y intercept  of  -3

Thus....the second graph MUST be  the correct  one

The   x values that  make f(x)  = g(x)   are at  x   = 0    and  x  = 3

The  factors of  10  are  the integers  that divide 10......these  are  2  and  5

  sec A  =  r / x

We  can  find  r  as   √ [ (-6)^2  + (3)^2  ] =  √  [36 + 9]  =  √ 45  =  √ [9 * 5 ] = 3√ 5

So

sec A  =  3√ 5 / -6  =   √ 5 / -2   =  -√ 5  /  2

CU said this before, 21.

f(x)  is a parbola   that opens downward......

g(x)  is  the square root graph   shifted  down  one unit

The second graph is therefore correct

The  x  where f(x)  =g(x)   occurs at  x  =  4 

Thanks ElectricPavlov for your attention.
I correct.

\(432\pi =\pi r^2\cdot 2r\\ \frac{432}{2}=r^3\\ \color{blue}r^3=216 \)

\(V=\frac{4}{3}\cdot \pi\cdot r^3=\frac{4}{3}\cdot \pi \cdot 216\\ \)

\(V=288\pi\)

  !

Thanks for not helping that guy cheese his homework. Gamemaster always cheeses his homework.

See here  :

https://web2.0calc.com/questions/a-good-math-question

Wow! You make it look so easy, Chris! Nice!!!!

Note  that  the points  (0,1)  and (1,0)  are on the boundary  of the graph

The equation of an equality  would  be  this

y = [ (0 - 1) / (1 - 0) ] x  + 1

y = [ -1/1]x  + 1

y = -x  +  1

We   need to turn this into an inequality  [ I'm assuming that  the  line is solid ] 

So  we either have

y ≤ - x + 1      or      y  ≥  -x +  1

To see which  inequality  is correct....note  that  the point (0,0)  is in the  feasible area

So

0 ≤    =   -0   +  1

0 ≤  1     is  true......so  the  correct inequality is

y ≤  - x  + 1

Like 4/2, you divide the numerator by the denominator.

2 divided by 7/3 would be 2 times 3/7 which is 6/7.

Hope this helped!

Oh~~~ It makes so much more sense now. Thanks, EP!

Yes, definitely!!!!