Since we are given that the relationship between x and y
is linear. Therefore this means that the given equation takes the form of:
y = m x + b
where,
b is the y intercept of the equation
m is the slope of the equation
However we should take note that the slope m is directly
proportional to the coefficient of correlation. Since our coefficient of
correlation is negative, this only means that the value of y is decreasing with
increasing x, hence plot of y and x is descending with increasing x.
Furthermore, this also tells that for every 1 unit increase of x, there is a
0.75 units decrease of y.
Answer:
6x+2-1x+5=42
Step-by-step explanation:
The answers are
f
o
g
(
x
)
=
−
2
x
+
23
and
g
o
f
(
x
)
=
−
2
x
+
5
Explanation:
f
(
x
)
=
−
2
x
+
11
g
(
x
)
=
x
−
6
f
o
g
(
x
)
=
f
(
g
(
x
)
)
=
f
(
x
−
6
)
=
−
2
(
x
−
6
)
+
11
=
−
2
x
+
12
+
11
=
−
2
x
+
23
g
o
f
(
x
)
=
g
(
f
(
x
)
)
=
g
(
−
2
x
+
11
)
=
−
2
x
+
11
−
6
=
−
2
x
+
5
I think that the equations speak by themselves.
Of course,
f
o
g
(
x
)
≠
g
o
f
(
x
)
The distance between city C and city D is 450 miles.
<u>Solution:</u>
Given, The distance between City A and City B is 250 miles.
A length of 2.3 feet represents this distance on a certain wall map.
City C and City D are 4.14 feet apart on this map.
We have to find what is the actual distance between City C and City D?
Now, distance between a and b is 250 miles ⇒ 2.3 feet on map
Then, distance between c and d be n miles ⇒ 4.14 feet on map.
Now, by chris cross method.
250 x 4.14 = 2.3 x n miles.
2.3n = 1035
n = 450
Hence, the distance between city C and city D is 450 miles.
Answer:
Step-by-step explanation:
<u>Key skills: Exponents + Fractions</u>
Use the negative exponent property. If your number is x^-y then it would be the same as 1/x^y
3^-4 is the same as 
3^4 is 81, so your answer would be 1/81.
Hope you have a nice day and understood this!
