Answer:
g(-8) = -23
Step-by-step explanation:
g(x) = 3x + 1 <em>Plug in g(-8)</em>
g(-8) = 3(-8) + 1 <em>Multiply 3 by -8</em>
g(-8) = -24 + 1 <em>Add 1 to -24</em>
g(-8) = -23
Answer:
y = 15/4x - 11/4
Step-by-step explanation:
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
let the number of sides be n.
Thus,
(n-2)x180=330
n-2=1.83
n=3.83
Rounding off we have, n=4.
Thus the total number of side is 4.
The slope m of a line
through points

and

is given by :<span>

Thus, the slope of the line passing through points </span><span>(−1, 7) and (2, 10) is
</span>

<span>
The equation of a line with slope m passing through a point P(a, b) is given by
(y-b)=m(x-a).
We can consider any of the points (-1, 7), or (2, 10). Let's choose (2, 10):
y-10=1(x-2)
y-10=x-2
y-x=-2+10
y-x=8
Answer: </span><span>C. −x+y=8</span>