Answer:
The equation of the line is
2y=x+8
Step-by-step explanation:
This is a straight line graph.
And general equation of a straight is given by
y=mx+c
Where m is slope
c is the intercept on y axis at x=0
So at y=0, x=8. This is from the graph.
And inserting this value of y and x into the straight line equation
y=mx+c
0=-8m+c
Therefore, c=8m. Equation 1
Taking another point on the graph
at=0, y=4
Also, inserting this value of y and x into the straight line equation
4=0×x+c
4=0+c
Therefore, c=4.
Therefore the intercept is 4
From equation 1
c=8m c=4
Then m=c/8
m=4/8
m=1/2
Then the equations of then line is
y=mx+c
y=(1/2)x+4
Multiply through by 2
2y=x+8
The equation of the line is
2y=x+8
48 000 gallons / 2 days = 24 000 gallons per day
24 000 gallons / 24 hours = 1 000 gallons per hour
<span>1 000 gallons / 60 minutes = 16.(6) gallons per minute</span>
First we have to find the diagonal of the card. We do this by using the Pythagoras theorem: A^2 = b^2 + c^2
= 6^2 + 4^2
=36 + 16
= 52
A^2= 52
Sqrt A^2 = sqrt 52
A = 7.2
Since the envelopes diagonal is 7.2 inches and the card’s diagonal is 8 inches and 7.2<8. Your answer is c)
X = adults
Y = child
X+y=168
X=168-y
$10x + $7y = $1446
10(168-y) + 7y = 1446
1680 - 10y + 7y = 1446
-3 y = -234
Y = 78
X = 168-78
X = 90
$10*90 + $7*78 =
$900 + $546 = $1446
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
