To solve the problem we could separate the figure into three parts. First figure is a triangle, second figure is a rectangle, third figure is a triangle. See image attached.
Solve each area of the figuresFirst figure, a triangle that have 7 units long of the base, and 2 units long of the height.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the first figure is 7 units²
Second figure is a rectangle, the length of the rectangle is 7 units, the width of the rectangle is 4 units.
a = l × w
a = 7 × 4
a = 28
The area of the second figure is 28 units²
Third figure is a triangle, the base is 7 units long and the height is 2 units long.
a = 1/2 × b × h
a = 1/2 × 7 × 2
a = 14/2
a = 7
The area of the third figure is 7 units²
The area of the three figuresarea = first figure area + second figure area + third figure area
area = 7 + 28 + 7
area = 42
The total area of the figures is 42 units²
Solution:
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.
First we make inequality according to question.
In a family number of children 3
Charge for 1 child = $y per hour
Charge for 3 children = 3y
Charge for 1 Adult = $x per hour
Charge for 2 adults = 2x
If the family does not want to s[end more than $30 an hour at health club.
Where, x and y should be greater than 0.
Now we make the graph of this inequality.
First we take equality of equation and then find x and y table.
2x+3y=30
x y
0 10
6 6
15 0
Answer:
Applied the definition and the limit.
They had the same result, so the function is continuous.
Step-by-step explanation:
At function f(x) is continuous at x = a if:

In this question:

At x = 3.


Since
, f(x) is continuous at x = 3.
B is the correct answer I think