Given:
Jake bought 3 drawing pens for $8.07.
Each pen costs the same amount.
To find:
How much did he spend for one pen?
Solution:
Let x be the cost of each pen. Then
Cost of three pens = 3x
Jake bought 3 drawing pens for $8.07.
Divide both sides by 3.
Therefore, he spend $2.69 for one pen.
Answer:
21
Step-by-step explanation:
cross multiply
42 x 24 = 48x
1008 = 48x
x = 21
Part A:
The first step of completing the square is writing the expression
as
which expands to
.
We have the first two terms exactly the same with the function we start with:
and
but we need to add/subtract from the last term, 49, to obtain 41.
So the second step is to subtract -8 from the expression
The function in completing the square form is
Part B:
The vertex is obtained by equating the expression in the bracket from part A to zero
It means the curve has a turning point at x = -7
This vertex is a minimum since the function will make a U-shape.
A quadratic function
can either make U-shape or ∩-shape depends on the value of the constant
that goes with
. When
is (+), the curve is U-shape. When
(-), the curve is ∩-shape
Part C:
The symmetry line of the curve will pass through the vertex, hence the symmetry line is
This function is shown in the diagram below
Answer:
x = 48
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
156° is an exterior angle of the triangle, then
108 + x = 156 ( subtract 108 from both sides )
x = 48
Answer:
614.2857143
Step-by-step explanation:
