Answer:
the best estimate is 25 cm
Step-by-step explanation:
the best estimate is 25 cm
because A would be too small
C too long
D way too much
A) No solutions
B) It's because the question gives you that both lines have the same slope. Remember that having the same slope makes the two lines parallel, which means they'll never intersect.
N=number of nickles
d=number of dimes
q=number of quarters
use cents for everything
total value=585
5n+10d+25q=585
divide everybody by 5 to simplify
n+2d+5q=117
we have
nicles are 5 more than quarters
n=5+q
4 times as many dimes as quarters
d=4 times q
d=4q
sub those in
5+q+2(4q)+5q=117
5+6q+8q=117
5+14q=117
minus 5
14q=112
q=8
sub back
n=5+q
n=5+8
n=13
d=4q
d=4(8)
d=32
13 nickles
32 dimes
8 quarters
divide both sides by 22
9the equation of a line in ' slope- intercept form ' is
y = mx + c ( m is the slope and c the y-intercept )
y = 3x + 1 is in this form
with slope = 3 and y-intercept = 1
the graph crosses the y- axis at ( 0, 1 )
from this point moving 3 units vertically up and 1 unit horizontally right gives the point (1, 4 ) . Repeating this gives the point (2, 7 )
Plot the points (0, 1 ), (1, 4 ) and (2, 7 )
Draw a straight line through them for graph of y = 3x + 1
Given that the recursive formula is:
an=an-1+6
a1=39
the second term will be:
a2=a1+6
a2=39+6=45
To evaluate the explicit formula we use the formula:
an=a+d(n-1)
where
a=first term
d=common difference
From the above a1=39 and a2=45
thus
d=45-39=6
a=39
hence the explicit formula will be:
an=39+6(n-1)
simplifying this we obtain:
an=39+6n-6
an=39-6+6n
an=6n+33
Answer: an=6n+33
