Substitution:
2x + (6(1/2x - 6)) = 19
2x + 3x - 36 = 19
5x - 36 = 19
+ 36
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
Elimination:
y = 1/2x - 6
- y
0 = 1/2x - 6 - y
+ 6
1/2x - y = 6
3x - 6y = 36
2x + 6y = 19
(add)
5x = 55
÷ 5
x = 11
y = (1/2 × 11) - 6
y = 5.5 - 6
y = -0.5
I hope this helps! Let me know if you need me to explain why I did some things :)
Answer: Rounded: 236 seconds
Not rounded: 236.07 seconds
Step-by-step explanation: We know that it takes the car 54.9 seconds to travel one mile, and we know that 1 times 4.3 is 4.3, so 4.3 times 54.9 equals 236.07 seconds.
Answer:
3/4
Step-by-step explanation:
I drew a slope triangle and found the slope by finding the distance between two points on the line.
Hope this helped!
Answer:
x = (2+√10)/ 3 and x= (2-√10/3)
Step-by-step explanation:
g(x) = -3x² +4x +2
use the quadratic formula x= (-b±√b²-4ac)/2a, when g(x) = ax² +bx +c
x= [-4 ±√4²-4*(-3)*2] / 2*(-3) , solve under the square root
x= (-4 ± √16 +24) / -6 , add under the radical
x= (-4 ±√40) / -6, simplify the square root
x= (-4 ±2√10) /-6, factor -2
x= -2 (2±√10)/-2 *3, simplify -2
x= (2±√10)/3
Therefore,
x = (2+√10)/ 3 and x= (2-√10/3)
Answer:the answer is
Step-by-step explanation:
First convert 7 1/2 to an improper fraction
15/2 ÷ 3/4
Division of fractions hold the first fraction replaces ÷ with x then flip the second fraction
15/2 x 4/3
Multiply the tops 15x4 =60
Over the bottoms multiplied together 2x3=6
60/6=10
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