R = rides
S = sodas
6R + 3S = $21.75 —> -12R - 6S = -43.5
10R + 6S = $39.50–>10R + 6S = 39.5
Multiplying Justin’s whole equation by -2 will bring out the 6S’, so we can focus on the cost of one ride.
-2R = -4
Divide both sides by -2
So for one ride, it would cost $2.
To find the cost for one soda, we plug in the cost for a ride.
6(2) + 3S = $21.75
12 + 3S = $21.75
3S = $9.75
So for one soda, it would cost $3.25.
Simplify it to 2x-4=8x-4
-6x=0
x=0
not sure if that counts as no solution or single solution though...
The order of the sides of the triangle is bc>ab>ac as per the rule that side opposite to the larger angle is larger
Answer:
f(x) = x⁴-6x³-13x²+66x+72
Step-by-step explanation:
Factors are: (x+3)(x+1)(x-4)(x-6)
[(x+3)(x+1)][(x-4)(x-6)]
[x²+3x+x+3][x²-4x-6x+24]
(x²+4x+3)(x²-10x+24)
x⁴+4x³+3x²-10x³-40x²-30x+24x²+96x+72
f(x) = x⁴-6x³-13x²+66x+72
Answer:
Option: A is correct.
Step-by-step explanation:
Since we are given a information that:
A contractor needs to fence a rectangular backyard for a client.
(1) The length of the backyard should be at least(gretaer than or equal to)
150 ft.
The length of the backyard is denoted by 'y' as in the graph.
Hence according to statement (1) we have:
y≥ 150
(2) The distance around should be no more than 450 ft.
This means that the perimeter has to be less than or equal to 450 ft.
Hence, 2x+2y ≤ 450.
So such inequalitiies on graphing will give the graph same as in A option.
Hence option A is correct
