Answer:
we conclude that the product of w and 4 is at least - 17 is represented as:
Step-by-step explanation:
Let 'w' be the number
The product of 'w' and '4' can be written as = 4w
- Given that the product of w and 4 is at least - 17.
When we say 'at least', it means we are talking about the fact that something 'must be equal to or greater than' the other thing.
Symbolically, the phrase 'at least' is represented as the inequality symbol '≥'.
Thus, the expression becomes
4w ≥ -17
Therefore, we conclude that the product of w and 4 is at least - 17 is represented as:
Answer:
12.5 miles
Step-by-step explanation:
-3,1 is 5 away from 2,1 so 2.5 times 5 equals 12.5
Answer:
x < 9
if g(x) < 27
Step-by-step explanation:
Since g(x) = 3x
then for g(x) = 27
3x = 27
x = 27/3
x = 9
so when g(x) < 27
x < 9
Answer:
The 17th term in arithmetic sequence is 68
Step-by-step explanation:
The general formula of arithmetic sequence is:
aₙ = a₁ + (n – 1)d.
We are given a₆ = 101 and a₉ = 83 and we need to find a₁₇
To find the term a₁₇ we should know a₁ and d. So we would find both
a₆ = a₁ +(6-1)d
101 = a₁ +(5)d
101 = a₁ +5d eq(1)
and
a₉ = a₁ +(9-1)d
83 = a₁ + 8d eq(2)
Subtracting eq(2) from eq(1)
101 = a₁ +5d
83 = a₁ + 8d
- - -
__________
18 = -3d
=> d = 18/-3
=> d = -6
Putting value of d in eq(1)
101 = a₁ + 5d
101 = a₁ + 5(-3)
101 = a₁ -15
=> a₁ = 101+15
=> a₁ = 116
Now finding a₁₇:
aₙ = a₁ + (n – 1)d.
a₁₇ = 116 +(17-1)(-3)
a₁₇ = 116+(16)(-3)
a₁₇ = 116 - 48
a₁₇ = 68
So, the 17th term in arithmetic sequence is 68