Answer:
(-2, -4.5)
Step-by-step explanation:
We can solve this equation with substitution.
x=2y+7
3x-2y=3
We can "substitute" 2y+7 for x into the second equation:
3(2y+7)-2y=3
Distribute the 3
6y+21-2y=3
Add like terms
4y+21=3
Subtract 21 from both sides
4y=-18
Divide both sides by 4 to isolate y
y=-4.5
Plug -4.5 back in for y:
x=2(-4.5)+7
x=-9+7
x=-2
(x,y)=(-2,-4.5)
Answer: 7 1/30
Step-by-step explanation: convert to improper fractions then find lowest common denominator between them then add and simplify back to mixed fraction :)
Answer:
vertex: (2,-18)
Step-by-step explanation:
y = ax² + bx + c
(-1,0) : a - b + c = 0 ...(1)
(5,0) : 25a +5b +c = 0 ...(2)
(0,-10): 0a + 0b + c = -10 c=-10
(1) x5: 5a - 5b + 5c = 0 ...(3)
(2)+(3): 30a + 6c = 0 30a = -6c = 60 a = 2
(1): 2 - b -10 = 0 b = -8
Equation: y = 2x² - 8x -10 = 2 (x² -4x +4) - 18 = 2(x-2)² -18
equation: y = a(x-h)²+k (h,k): vertex
vertex: (2,-18)
112
/ \
2 56
/ \
4 14
/ \ / \
2 2 2 7
54
/ \
2 27
/ \
3 9
/ \
3 3
GCF=2
