Which inequality is equivalent to \-41 <9?
1 answer:
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Answer:
a) 3, 6, 9, 12, 15,...,, b) 4, 7, 10, 13, 16,...,
, c) Both sequences are arithmetic.
Step-by-step explanation:
a) The sequence of natural numbers which are multiplied by 3 are represented by the function ,
. Let see the first five elements of the sequence: 3, 6, 9, 12, 15,...
b) The sequence of natural numbers which are multiplied by 3 and added to 1 is represented by the function ,
. Let see the first five elements of the sequence: 4, 7, 10, 13, 16,...
c) Both sequences since differences between consecutive elements is constant. Let prove this statement:
(i)
(ii)
Both sequences are arithmetic.
Answer:
a. 3.5 inches by 4.5 inches
b. 1.5 inches
c. Divide 48 inches by 2 and multiply 1 inch by 12 to get a scale of 1 : 2
Step-by-step explanation:
A scale is a representative fraction showing the relationship between length on a drawing and actual length.
i.e scale =
scale = 1 inch : 4 feet
a. The dimensions in the drawing can be determined as;
1 inch : 4 feet implies an inch on the drawing equates 4 feet on actual length.
= 3.5 inches
= 4.5 inches
Dimensions on drawing is 3.5 inches by 4.5 inches.
b. The length of the sofa is 6 feet, its length on the drawing is;
= 1.5 inches
c. To enlarge the scale so as to double the dimensions of the drawing, we have;
12 inches = 1 feet
4 feet = 4 × 12 = 48 inches
given scale = 1 inch : 48 inches
Thus, divide 48 inches by 2 and multiply 1 inch by 12.
scale = 12 inch : 24 inch
scale = 1 : 2
To double the dimensions of the drawing, the scale required is 1 : 2. This implies that a unit measure on the drawing is synonymous to 2 measures on the actual reading.