Answer:
x∈(-∞,3]
Step-by-step explanation:
2x-6<=5*3-5x
2x-6<=15-5x
+5x +5x
7x-6<=15
+6 +6
7x<=21
:7 :7
x<=3
x∈(-∞,3]
Answer:
The slope is -1 and y-intercept is at y = -3.
Step-by-step explanation:
-7y= 7x+21
Divide through by -7:
y = -x - 3
Answer:
2 terms
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given,
Art electives = 3,
History electives = 4,
Computer electives = 5,
Total number of electives = 3 + 4 + 5 = 12,
Since, if a student chooses an art elective and a history elective,
So, the total combination of choosing an art elective and a history elective =
Also, the total combination of choosing any 2 subjects out of 12 subjects =
Hence, the probability that a student chooses an art elective and a history elective =
Which is the required expression.
Answer:
33 inches to the nearest inch.
Step-by-step explanation:
Length of an arc = rC where r = the radius and C is the angle through which it turns in radians.
So for the 23 inch radius: length = 23 * 135 * π / 180
and for the 9 inch radius: length = 9 * 135 * π / 180
The difference = 23 * 135 * π / 180 - 9 * 135 * π / 180
= 14 * 135 * π / 180
= 32.99 inches.