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
We know that her mom will be home in 70 minutes and if its 4:12 then that means that her mom will be home at 5:22 because 70 minutes is 10 minutes more than an hour. If her gymnastics lessons are at 6:00 then she has 38 minutes in-between the time her mom gets home and her gymnastics lesson.
Hope this helped!
Hi there
-2 ≥ 4p + 6 + 4
-2 ≥ 4p + 10
4p +10 ≤ -2
Now subtract 10 form both sides
4p + 10 - 10 ≤ -2 - 10
4p ≤ -12
Divide by 4
4p/4 ≤ -12/4
p ≤ -3
I hope that's help:)
