Write an equation of the direct variation that includes the given point (-8, -4)
Direct variation is y= kx for some constant k
Find k using the point (-8,-4)
y=kx
(-4)=k(-8) substitution
-4/-8=k(-8/-8) division property
1/2=k
equation of direct variation is y=1/2k
Answer:
45/126 or 5/14
Step-by-step explanation:
a / b = 5/8
b / c = 9/14
a = 5
b = 8
b = 9
8 * 9 = 72
b = 72
If b was = 8 and now = 72, multiply a by 9.
b = 45
If b was 9 and now is 72, multiply c by 9.
c = 14 * 9 = 140 - 14 = 126
b / c = 45/126 or 5/14
You are welcome!
Kayden Kohl
9th Grade Student
Answer:
C
Step-by-step explanation:
Since this is an indererminate form, use L'Hopital
d(sint)/dt = cos(t)
d[ln(2e^t) - 1] = (2e^t)/[2e^t - 1]
As t --> 0,
cos(0) = 1
(2e^t)/[2e^t - 1] = 2
1/2 is the limit
Answer:
(b) -m, m + 3
Step-by-step explanation:
x² − 3x − m(m + 3) = 0
x² − 3x = m(m + 3)
x² − 3x + 9/4 = m(m + 3) + 9/4
(x − 3/2)² = m(m + 3) + 9/4
(x − 3/2)² = m² + 3m + 9/4
(x − 3/2)² = (m + 3/2)²
x − 3/2 = ±(m + 3/2)
x − 3/2 = m + 3/2, -m − 3/2
x = m + 3, -m
Answer:
Hope the graph below helps.
Step-by-step explanation:
