140 is the solution of the inequality
Step-by-step explanation:
The inequalities are used just like equations.
Given
Total amount to be raised = $950
Price of one ticket = $2.50
The inequality that represents the situation is:
2.50x≥950
Dividing both sides by 2.50
140 is the solution of the inequality
Keywords: Inequality, cost
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<span>The ratio of sides is, 8:10 = 4:5
squaring it yields, 16:25
the ratio of the area is 16:25
</span>
Answer: D.
Step-by-step explanation: If you look closely, putting a 100 wouldn't make sense
The correct answer is A: 2.
The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.
If you look at your graph, it takes 2 units up and 1 unit to the right in order to get to the next point on the line.
Therefore, the slope of the line is 2/1, or simply 2. It has a positive value because the line is sloping upward.
In each case, you can use the second equation to create an expression for y that will substitute into the first equation. Then you can write the result in standard form and use any of several means to find the number of solutions.
System A
x² + (-x/2)² = 17
x² = 17/(5/4) = 13.6
x = ±√13.6 . . . . 2 real solutions
System B
-6x +5 = x² -7x +10
x² -x +5 = 0
The discriminant is ...
D = (-1)²-4(1)(5) = -20 . . . . 0 real solutions
System C
y = 8x +17 = -2x² +9
2x² +8x +8 = 0
2(x+2)² = 0
x = -2 . . . . 1 real solution
