Y = –x2 + 4x + 12
y = –3x + 24
so
–x2 + 4x + 12 = –3x + 24
x^2 -7x + 12 = 0
(x - 4)(x - 3) = 0
x - 4 =0; x =4
x - 3 = 0; x= 3
y = –3x + 24 = -3(3) + 24 = -9+24 = 15 (when x = 3)
y = –3x + 24 = -3(4) + 24 = -12+24 = 12 (when x = 4)
answer
(3, 15) and (4, 12)
Answer:
0
Step-by-step explanation:
When there is one x-intercept, the discriminant is zero.
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The discriminant is used to compute the difference between the roots. When it is positive, the real roots are different, so there are two x-intercepts.
When the discriminant is zero, there is no difference between the roots, so there is one x-intercept (as here).
When the discriminant is negative, there are no x-intercepts and the two roots are complex.
6x + y = -2
y = -3x + 1
Substitute the value of y in first equation,
6x -3x + 1 = -2
3x = -2-1
x = -3/3
x = -1
Now, Substitute it in 2nd equation,
y = -3(-1) + 1
y = 3+ 1 = 4
Coordinates would be: (-1,4) Mark that point and join with origin.
Hope this helps!
