Answer:
Lacy is 13 and Jack is 52
Step-by-step explanation:
In 3 years their ages will add up to 71 so you have to subtract 6 as there are two of them to get 65. Lacy's age is represented by x and since Jack is 4 times older his age is represented by 4x. So added together their age is 5x. So 5x=65. Then 65/5=13. So 13=x. So Lacy is 13 and Jack is 52 as 13x4 is 52.
Answer:
The absolute value inequality to represent the situation is presented as follows;

Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
5+3x=23 x=6 the answer is 6
Answer:
2/11 will be your answer :)
Step-by-step explanation:
Hope this helps ✨
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