Question 75618: Hello out there,I have some questions towards some difficult equations,can someone help me please,the first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c?The next one is,Find g(9) given that g(x)=2x+3.The next is,Find h(4) given that h(x)=x/2minus7.And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2.Thanks for whoever can help.
Found 2 solutions by stanbon, Earlsdon:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c?
Let x=5; let y=-2
4*5 = 10 - c*-2
20 = 10 + 2c
2c=10
c=5
-----------------
The next one is,Find g(9) given that g(x)=2x+3.
g(9)=2*9+3=21
============
The next is,Find h(4) given that h(x)=x/2minus7.
h(4)= 4/2 - 7
h(4)= 2-7
h(4)=-5
-------------
And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2.
If y vaies directly as x, y=kx
If y=1/4 when x= 3/2 then (1/4)=k(3/2) and k=(1/4)*(2/3)=1/6
So the proper equation is y= (1/6)x
Now, find y when x=54:
y=(1/6)54
y=9
==========
Cheers,
Stan H.
Answer by Earlsdon(6294) (Show Source):
|
|
|
