Answer:
Step-by-step explanation:
1) a = x - 5
a) z = y + 5
b) z = y - 3
c) z = 6y
d) z = 6y - 2
e) z = 3y + 5
Answer:
$1890
Step-by-step explanation:
x= couches
y=chair.
x=2y
2x=3y+270
2(2y) or 4y=3y+270
y=270
x=540
2(540)+3(270)=1890.
Hope this helps :D
Answer:
x = -8 and x= 7
Step-by-step explanation:
recall that for a rational expression, the vertical asymptotes occur at x-values that causes the expression to become undefined. These occur when the denominator becomes zero.
Hence the asymptototes will occur in x-locations where the denominator , i.e
(x+8)(x-7) = 0
solving this, we get
(x+8) = 0 ----> x = -8
or
(x-7) = 0 ------> x = 7
hence the asymptotes occur x = -8 and x= 7
Answer:
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
The relation is not a function.
Step-by-step explanation:
Given the relation: t{(−1,0),(7,0),(−1,9),(−6,−9)}
In the ordered pairs:
- The domain is the set of all "x" values
- The range is set of all "y" values
- We do not need to list any repeated value in the range/domain more than once.
Domain: {-6, -1, 7}
Range: {-9, 0, 9}
Next, we determine whether the relation is a function.
For a relation to be a function, each x must correspond with only one y value.
However, as is observed in the mapping attached below:
The x-value (-1) corresponds to two y-values (0 and 9)
Therefore, the relation is not a function.
Answer: There are 60 ways that they can travel to the concert.
Step-by-step explanation:
Since we have given that
Number of people want to go to a concert = 12
Number of cars = 3
Number of drivers in the group = 5
So, using the "Fundamental theorem of counting":
We get that

Hence, there are 60 ways that they can travel to the concert.