Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
Answer:
The graph attached has a solution. As you can see, the parabolic function DOES intercept the line at (0, 3). Therefore, the solution to that sytem of equation is the point (0, 3).
A system of equations has no solutions when their graphs do NOT meet at any point.
Answer:
The value of k is 3.
Step-by-step explanation:
The function f(x) passes through the points (0,4) and (-6,-2)
So the equation of the function is 
⇒ y = x + 4 ....... (1)
Again the function g(x) passes through the points (0,4) and (-2,-2).
Therefore, the equation of g(x) will be 
⇒ y = 3x + 4
Therefore, g(x) = 3x + 4 = f(3x) {from equation (1).
So, the value of k is 3. (Answer)
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
_____
<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
Answer:
D) -1
Step-by-step explanation:
6x-2≥4x-6
6x-4x≥-6+2
2x≥-4
x≥-4÷2
x≥-2
Only -1 is greater than -2 in the list.
