Answer:
<h2>The Possible range for x is : ]8 , 18[</h2>
Step-by-step explanation:
To can draw this triangle if:
4x - (2x - 6) < 42 < 4x + (2x - 6)
solve inequality 1 :
4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)
Solve inequality 2 :
42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)
from (1) and (2) we deduce that : 8 < x < 18
Answer:
3 more students need to sign up
Step-by-step explanation:
Let the equal number of students in 9 teams be x.
Total number of signed up students = 690.
Let t be the required number of students to be signed.
Therefore, 9x = 690+t.
This means, 690+t is a multiple of 9.
The least value of t to make 690+t, a multiple of 9 is 3 and hence,

= 77
Hence, 3 more students need to sign up and each of the 9 teams consists of 77 students.
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
<em> got this answer from (www.Math.com) </em>
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<em>Glad I helped! =)</em>