Answer:
y = -6x + 10
Step-by-step explanation:
Parallel lines share the same slope. Given y = -6x – 1, we know that the equation of this new line has the form y = -6x – C. The coordinates of the point (1, 4) determine the value of C:
(4) = -6(1) – C, or:
4 = -6 - C
Then C = -10, and the desired equation is
y = -6x – (-10), or
y = -6x + 10
Answer:
-1.8
Step-by-step explanation:
m= y2 - y2over x2 - x1
m= -1 - 8 over 1 - 6 = -1.8
m= -1.8
Answer:
3
Step-by-step explanation:
lim(t→∞) [t ln(1 + 3/t) ]
If we evaluate the limit, we get:
∞ ln(1 + 3/∞)
∞ ln(1 + 0)
∞ 0
This is undetermined. To apply L'Hopital's rule, we need to rewrite this so the limit evaluates to ∞/∞ or 0/0.
lim(t→∞) [t ln(1 + 3/t) ]
lim(t→∞) [ln(1 + 3/t) / (1/t)]
This evaluates to 0/0. We can simplify a little with u substitution:
lim(u→0) [ln(1 + 3u) / u]
Applying L'Hopital's rule:
lim(u→0) [1/(1 + 3u) × 3 / 1]
lim(u→0) [3 / (1 + 3u)]
3 / (1 + 0)
3
His gross pay would be $525.00
2500-1000=1500
1500 x .15 = 225.00
225+300= $525.00
0.05n + 0.1d = 3.10
n + d = 44
d = 44 - n
Substituting to the first equation:
0.05n + 0.1(44 - n) = 3.10
0.05n + 4.4 - 0.1n = 3.10
-0.05n = 3.10 - 4.4
n = 26
Obtaining the value of nickels:
26 * 0.05 = 1.3
Therefore, the value of nickels that Bethany has is $1.30