Answer:
y = - 2x + 110
Step-by-step explanation:
The equation of a line in slope- intercept form is
y + mx + c ( m is the slope and c the y- intercept )
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (0, 110) and (x₂, y₂ ) = (20, 70) ← 2 points on the line
m = 
= 
= - 2
the line crosses the y- axis at (0, 110) ⇒ c = 110
y = - 2x + 110 ← equation of line
Answer:
77,540
Step-by-step explanation:
Since 3 is less than 4, we round down a ten. This comes out to 77,540.
ANSWER
EXPLANATION
Given the parent function:
If we shift the graph of f(x), 5 units to the left, then the new rule is
If we again, shift this graph upward by 4 units, then the completely transformed function will have the rule,
Or
Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
Answer:
994 :)
Step-by-step explanation:
PEMDAS
(8+2)^3 - 6
(10)^3 = 10 x 10 x 10
1,000 - 6
994
