Answer:
Option B. 
.
Step-by-step explanation:
The given equation is kx - 4 = 9
We will add 4 on both the sides of the equation
kx - 4 +4 = 9 +4
kx = 13
Now we will divide by k on both the sides of the equation
Therefore Option B x = 13/k is the right answer.
Answer:
Step-by-step explanation:
125 miles / 150 minutes = 300 miles / x Criss multiply
Notice that the numerators both have the same units -- miles. Proportions should always be set up that way.
125 x = 150 * 300 Combine the right
125x = 45000 Divide by 125
x = 45000/125
x = 360 more minutes which is 6 hours.
<h3>
Answer: B. 26</h3>
============================================
Use law of cosines to find angle A
a^2 = b^2 + c^2 - 2*b*c*cos(A)
9^2 = 6^2 + 14^2 - 2*6*14*cos(A)
81 = 36 + 196 - 168*cos(A)
81 = 232 - 168*cos(A)
81 - 232 = -168*cos(A)
-151 = -168*cos(A)
-168*cos(A) = -151
cos(A) = (-151)/(-168)
cos(A) = 0.8988095
A = arccos(0.8988095)
A = 25.9979801
A = 26 degrees approximately
Answer:
f
(
x
)
=
3
cos
(
2
x
)
+
2
EXPLANATION:
We are able to use the transformation formula
f
(
x
)
=
a
⋅
cos
(
x
−
h
b
)
+
k
. You start with
f
(
x
)
=
cos
(
x
)
and replace
a
with the desired amplitude,
h
with the desired horizontal shift, and
k
with the desired vertical shift. This leaves out the
b
-value. A regular cosine function has a period of
2
π
. If you want a period of
π
, since that is one half of the original period, you need to replace your
b
with a
1
2
.
This is about how it would work out.
f
(
x
)
=
3
⋅
cos
(
x
−
0
1
2
)
+
2
From there you simplify your equation giving you
f
(
x
)
=
3
cos
(
2
x
)
+
2
