Note that the 2nd equation can be re-written as y=8x-10.
According to the second equation, y=x^2+12x+30.
Equate these two equations to eliminate y:
8x-10 = x^2+12x+30
Group all terms together on the right side. To do this, add -8x+10 to both sides. Then 0 = x^2 +4x +40. You must now solve this quadratic equation for x, if possible. I found that this equation has NO REAL SOLUTIONS, so we must conclude that the given system of equations has NO REAL SOLUTIONS.
If you have a graphing calculator, please graph 8x-10 and x^2+12x+30 on the same screen. You will see two separate graphs that do NOT intersect. This is another way in which to see / conclude that there is NO REAL SOLUTION to this system of equations.
Let's start by calculating the number of steps Andre walked. He recorded that he can walk 6000 steps in 50 minutes, which means that he can walk 6000/50=120 steps per minute. 5 hours = 5*60 = 300 minutes. So Andre has walked 120 * 300 = 36 000 steps.
Priya writes the equation y=118x in which y is the number of steps and x is the number of minutes. As already stated, 5 hours = 300 minutes. So x = 300. We replace x by its value and we get y = 118x = 118*300 = 35400 steps.
36000>34500 so Andre has walked more steps than Priya.
Hope this helps! :)
Answer:
4 students
Step-by-step explanation:
As shown in the diagram, let U=[The total number of students questioned]
A=[Those who liked peanut butter ]
B=[Those who liked jam ]
x = those who like both peanut butter and jam.
Also 6 liked neither peanut butter nor jam.
From the diagram we can write the mathematical equation as follow and solve for x
We add x and subtract 30 to both sides.
Therefore 4 students like both peanut butter and jam.
Answer = 5p − 4 (third choice)
"4 less than the product of 5 and some number = 5p − 4
Answer:
Step-by-step explanation:
