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
Answer:
p = 1/8
Step-by-step explanation:
Step 1: Write out equation
-3p + 1/8 = -1/4
Step 2: Subtract 1/8 on both sides
-3p = -3/8
Step 3: Divide both sides by -3
p = 1/8
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Explanation:
Given the function f(x) and g(x) = f(x)-4
This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.
The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.
Hence the correct option is The graph of g(x) is the graph of f(x) translated 4 units down.
Answer: y = -5x/3 - 7/4
Step-by-step explanation:
The equation of a line in slope and point form is given as
y - 
= m(x - 
)
where m is the slope
= 2
= -3
m = -5/8
Substituting into the formula , we have
y - ( -3 ) = -5/8 ( x - 2 )
y + 3 = -5x/8 + 5/4
This could also be written in slope - intercept form , that means we will make y the subject of the formula
y = -5x/8 + 5/4 - 3
y = -5x/3 - 7/4
Answer:
C= 30
Step-by-step explanation:
