Answer:
= - 7n - 1
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 15 - (- 8) = - 22 - (- 15) = - 29 - (- 22) = - 36 - (- 29) = - 7
This indicates the sequence is arithmetic with nth term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 8 and d = - 7 , then
= - 8 - 7(n - 1) = - 8 - 7n + 7 = - 7n - 1
The answer is the first one: (z+1)(y+6).
Explanation:
yz + 6 + y + 6z
= yz + y + 6 + 6z
= y(z+1) + 6(1+z)
= (z+1)(y+6)
For (z+1), you can also write (1+z), it doesn’t matter.
Hope it helps!
Answer:
V = $3.50t + $90.5....
Step-by-step explanation:
V(t) is a function of t that expresses the value in year 2000+t.
We know that the increase is $3.50 times t.
So,
V(t) = $3.50t + c
where c is the constant.
V(15) = $3.50 (15) + c = $143 [t=15 as mentioned in the question]
and therefore
c = $143 - $3.50 (15)
c= $143 - $52.50
c= $90.5
Now we got the value of c. We can write the equation as
V = $3.50t + $90.5....
Answer:
The total cost is $81.78
Step-by-step explanation:
First lets calculate the tip
tip = cost * percent of tip
tip = 65.42*.25
tip = 16.355
Which rounds to 16.36 since we are working with money and round to the nearest cent
total cost = cost of cut and blowout + tip
= 65.42 +16.36
=81.78
Answer:
x = -4, y = -2
Step-by-step explanation:
substitute for y
2x - 5(x + 2) = 2
distribute -5
2x -5x - 10 = 2
solve
-3x - 10 = 2
add 10 on both sides
-3x = 12
divide by -3
x = -4
now substitute for x in the equation y = x + 2
y = -4 + 2
y = -2
