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Ad libitum [116K]
3 years ago
9

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest number of p

ossible solutions to this system? A.0
B.1
C.2
D.4
Mathematics
2 answers:
rosijanka [135]3 years ago
7 0
The maximum number of intersections between a parabola and a line is 2.
The correct answer choice is C.2.
MissTica3 years ago
4 0
A line and a quadratic equation (which is a curved graph) may intersect once, twice or not at all. Thus, the answer to the question is letter C. The greatest possible solutions to the system of a line and quadratic equation is 2. 
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3 years ago
×WILL MARK AS BRAINLIEST×<br>Solve the equation for b, d and x
Lera25 [3.4K]
Solve for d:
(3 (a + x))/b = 2 d - 3 c
(3 (a + x))/b = 2 d - 3 c is equivalent to 2 d - 3 c = (3 (a + x))/b:
2 d - 3 c = (3 (a + x))/b
Add 3 c to both sides:
2 d = 3 c + (3 (a + x))/b
Divide both sides by 2:
Answer: d = (3 c)/2 + (3 (a + x))/(2 b)


-----------------------------

Solve for x:
(3 (a + x))/b = 2 d - 3 c
Multiply both sides by b/3:
a + x = (2 b d)/3 - b c
Subtract a from both sides:
Answer:  x = (2 b d)/3 + (-a - b c)

____________________________


Solve for b:
(3 (a + x))/b = 2 d - 3 c
Take the reciprocal of both sides:
b/(3 (a + x)) = 1/(2 d - 3 c)
Multiply both sides by 3 (a + x):
Answer: b = (3 (a + x))/(2 d - 3 c)
5 0
3 years ago
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