Answer:
Mrs. Wang is 38 years old and her daughter is 15 years old.
Step-by-step explanation:
Explanation:
Let
x
=
the daughter's age
Mrs. Wang is
23
years older, so her age is
x
+
23
In five years, the daughter will be
x
+
5
years old
In five years, Mrs. Wang will be
x
+
23
+
5
=
x
+
28
years old
And, in five years the sum of their ages will be 63, so...
x
+
5
+
x
+
28
=
63
Combine like terms
2
x
+
33
=
63
a
a
−
33
a
−
33
a
a
a
Subtract 33 from both sides
2
x
a
a
a
a
a
=
30
2
x
2
=
30
2
a
a
a
Divide both sides by 2
x
=
15
a
a
a
The daughter is 15
x
+
23
=
15
+
23
=
38
a
a
a
Mrs. Wang is 38
Hello,
y-1=(2-1)/(5-4)(x-4)==>x-y=5
=====================
Answer:
60
Showing-MY-Work:
4 months is 1/3 of a year. (12 months = 1 year)
Since know that they became 20, after 4 years, then we just times 20 by 3.
Because 3 times 4 = 12
20 times 3 = answer you're looking for
Answer:
None of the equations given is the equation of the function. The correct equation is: 
Step-by-step explanation:
First we must find the slope of the line that passes through these points.
The slope between two points
and
is given by:

where
is the slope
In this case since we have the points:
and 

and the slope will be:

and now we have the slope we use the slope-point equation:


Step-by-step explanation:
f(0) = 0 , f(2) = -4 , f(4) = -2
0 = f(2x) → f(0) = f(2x) → x = 0 (0,0)
-4 = f(2x) → f(2) = f(2x) → x = 1 (1,-4)
-2 = f(2x) → f(4) = f(2x) → x = 2 (2,-2)
shape of the graph remain without change in vertical axis , but it is compressed in the horizontal direction.