Answer:
y = 3x - 1
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 )
y = 3x + 2 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes , then
y = 3x + c ← is the partial equation
To find c substitute (3, 8 ) into the partial equation
8 = 9 + c ⇒ c = 8 - 9 = - 1
y = 3x - 1 ← equation of parallel line
Answer:
They would have about $2500 after one year
Step-by-step explanation:
Answer:
f(-1)=6×(-1)^-4=6/(-1)^4=6/1=6
Given that GI = 53, and
• GH = 3x - 11
• HI = 2x + 4
We can establish the following equality statement to solve for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
Combine like terms:
5x - 7 = 53
Add 7 to both sides:
5x - 7 + 7 = 53 + 7
5x = 60
Divide both sides by 5 to solve for x:
5x/5 = 60/5
x = 12
Substitute the value of x into the equality statement to verify if it is the correct value for x:
GH + HI = GI
3x - 11 + 2x + 4 = 53
3(12) - 11 + 2(12) + 4 = 53
36 - 11 + 24 + 4 = 53
53 = 53 (True statement. Thus, x = 12 is the correct value).
Therefore:
GH = 3x - 11
GH = 3(12) - 11
GH = 25
HI = 2x + 4
HI = 2(12) + 4
HI = 28
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