Combine the like terms. move over the -3x to the right and it’s now 3x and combine it with -2x to get x. Move the 4 over to the left and it becomes -4 and combine it with the 1 to get -3. Then you are left with -3=x
Answer:
dy/dx= 7- 3x^-1/2
when X=1
dy/dx = 4
as it is a tangent M1=M2=4
now,
at gradient 4 and point (1,1)
equation of curve is ,
y-y1= m(x-x1)
or, y-1=4(x-1)
or, y-1=4x-4
or, y-4x= -3
or, 4x-y=3
Answer:
6 Gallons per min
Step-by-step explanation
Unit rate is a fraction that has a one in the denominator
so you have 42/7 = n/1 so to make 7 a 1 , we divide by 7 . We do the same thing on top 42 divided by 7 is 6.
Answer:
39%
Step-by-step explanation:
It is given that 35 apartments have balconies in them.
While 55 apartments do not have balconies in them.
Total number of balconies is the sum of the apartments. i.e. 35 + 55
= 90 apartments
Therefore for the survey when an apartment is randomly selected, the percentage of the probability of the apartment to have a balcony can be found out by dividing 35 by 90 and then multiply by 100.
i.e.

= 0.38888888
Multiplying by 100, we get
= 0.388888 x 100
= 38.8888 %
= 39 %
Answer:
31
Step-by-step explanation:
3x + 12 and 105 are alternate exterior angles because A || B and B || C.
If the two or more lines are parallel, then the alternate exterior angles are equal.
3x + 12 = 105
Substract 12 on both sides,
3x = 105 - 12
3x = 93
Divide 3 on both sides,
x = 93 / 3
x = 31