Given that y varies directly with x and inversely with z, then:
a] Equation that models the relationship
y=kx/z
where k is the constant of proportionality, given by:
k=yz/x
k=(28×8)/32
k=7
The equation that models the relationship is:
y=7x/z
b]
<span>find y when x = 12 and z = 3
The value of y will be given:
y=(7</span>×12)/3
<span>y=28
</span>
Remember some simle log rules
loga+logb=log(ab)
xloga=loga^x

means

also, if no base is stated, assume base 10
so
log(2x)=-1 is base 10 and translates to
10^-1=2x
1/10=2x
divide both sides by 2 aka times 1/2
1/20=x
3log(2)+log(x)=3
log(2^3)+log(x)=3
log(8)+log(x)=3
log(8x)=3
base 10
10^3=8x
1000=8x
divide both sides by 8
x=125
Answer:
6 1/2 divide 3 2/3 = 39/22
Step-by-step explanation:
<span>This answer assumes that the majority of the 1,500 miles are on the highway. After adding up the total cost for the trip for each car, the Toyota Camry is the better value.
Toyota Camry:
Base Price: $553.28
Gas Price: $172.72
Total Price: $726.01
Toyota Prius:
Base Price: $804.61
Gas Price: $118,75
Total Price: $923.36
Therefore, based on the distance traveled on this trip, the Toyota Camry is the better value. A longer trip would likely turn the Prius into the better value but not for a 1,500 mile trip.</span>
For the -5+5y=40 the answers is y=9
And for 4x+3y=24 is x=-3/4y +6