In the above problem, you want to find the number of multiples of 7 between 30 and 300.
This is an Arithmetic progression where you have n number of terms between 30 and 300 that are multiples of 7. So it is evident that the common difference here is 7.
Arithmetic progression is a sequence of numbers where each new number in the sequence is generated by adding a constant value (in the above case, it is 7) to the preceding number, called the common difference (d)
In the above case, the first number after 30 that is a multiple of 7 is 35
So first number (a) = 35
The last number in the sequence less than 300 that is a multiple of 7 is 294
So, last number (l) = 294
Common difference (d) = 7
The formula to find the number of terms in the sequence (n) is,
n = ((l - a) ÷ d) + 1 = ((294 - 35) ÷ 7) + 1 = (259 ÷ 7) + 1 = 37 + 1 = 38
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Notice that the line of f(x) is dashed. This means that the symbol of the inequality must be 
or 
.
Since the shaded region A is above the line, the symbol is
Observe that its y-intercept is:
The line of g(x) is solid. This means that the symbol of the inequality must be 
or 
.
Since the shaded region B is below the line, the symbol is .
Observe that its y-intercept is:
.
Based on this, we can conclude that the graph represents the following System of Inequalities:
Answer:
74.24 cm^2
Step-by-step explanation:
8 * 9.28 = 74.24 cm^2
