Answer: x=3 and y=5
Step-by-step explanation: 11x-6y=3, 5x-8y=-25
11x-6y+6y=3+6y
11x/11=3/11+6y/11
x=3+6y/11
5(3+6y/11)-8y(11)/11
5(6y+3)-88y/11
30y+15-88y/11
88y-30y
58y
11(15-58y)/11=11(-25)
15-58y-15=-275-15
-58y/-58=-290/-58
y=5
x=3+6(5)/11
3+30
33
33/11
x=3
x=3, y=5
Answer:
Good question! The correct answer is a) increases and b) increases.
While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.
The answer is 33 cm^3
Square Volume: 3*3*3= 27 cm^3
Pyramid: 1/3 * 2 * 3^2 = 6 cm^3
27+6= 33 cm^3
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
