Step-by-step explanation:
Slope-intercept form: y = mx + c
We have m = 1/4. Since it passes through the
point (-4, 2), => When x = -4, y = 2.
=> (2) = (1/4)(-4) + c, 2 = c - 1, c = 3.
Hence the equation is y = x/4 + 3.
Answer:
a^n=-9+(n-1).5
Step-by-step explanation:
Arithmetic sequence=a+(n-1)d
a=-9
n=?
d=+5
Arithmetic sequence=-9+(n-1)5
=-9+5n-5
Collect like terms
-9-5+5n
-14+5n
So the final answer is
an=-9+(n-1).5
Answer: Ф = 20
Step-by-step explanation:
sin2Ф = cos (Ф+ 30 )
if sinα = cosβ , then α and β are complementary ,that is they add up to be 
.
Therefore : 2Ф + Ф + 30 = 90
3Ф + 30 = 90
3Ф = 90 - 30
3Ф = 60
Ф = 20
Answer:
50%
Step-by-step explanation:
Let :
Winter = W
Summer = S
P(W) = 0.85
P(S) = 0.65
Recall:
P(W u S) = p(W) + p(S) - p(W n S)
Since, none of them did not like both seasons, P(W u S) = 1
Hence,
1 = 0.85 + 0.65 - p(both)
p(both) = 0.85 + 0.65 - 1
p(both) = 1.50 - 1
p(both) = 0.5
Hence percentage who like both = 0.5 * 100% = 50%
47.44 is the answer to this question
