Given:
f(1) = 1 and f(-3) = 17
To find:
The lines function f.
Solution:
If f(a) = b, it means the function f passes through (a,b).
Here, f(1) = 1, it means the function f passes through (1,1).
f(-3) = 17, it means the function f passes through (-3,17).
If a linear function passes through two point
, then the equation of line is

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is




Add 1 on both sides.


Put y=f(x), to write in function notation.

Therefore, required lines function is
.
Answer:
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
Step-by-step explanation:
The prisms are 2 identical flower beds . The dimensions are the same which have a length of 6 ft , height of 2 ft and width of 5 ft. He wants to paints the side of the beds which is the lateral area of the prisms.
Lateral surface area of a rectangular prism is adding the area of the lateral faces of the prism.
Lateral surface area = PH
P = perimeter of the side
H = height
perimeter = (2L + 2W)
where
L = length
W = width
L = 6 ft
W = 5 ft
perimeter = (2L + 2W)
perimeter = (2 × 6 + 2 × 5)
perimeter = (12 + 10)
perimeter = 22 ft
Lateral area = 22 × 2
Lateral area = 44 ft²
For the 2 the identical flower beds he will require 44 × 2 = 88 ft² of paints to paint the sides of the beds.
Answer:
1.Yes,No,Yes
2.Identitive
Step-by-step explanation:
I would say Identitive because it is being multiplied by 1 and this property states that anything multiplied by 1 is itself
Answer: 6.13
Step-by-step explanation:
From the question, we are informed that MUSIC Randall recorded 8 songs on his most recent CD and that the total length of the CD is 49 minutes.
The unit rate to represent the average length per song on the CD will be calculated by dividing 49 by 8. This will be:
= 49 minutes / 8
= 6.125 minutes per song
= 6.13 to nearest hundredths