A spinner has the numbers 1-12 what is the probability of spinning a number less than or equal to 5
1 answer:
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Hi there!
13y² + 10y - 3 = 5y²
Begin by moving all terms to one side:
13y² + 10y - 3 - 5y² = 0
Combine like terms:
8y² + 10y - 3 = 0
Factor using the guess-and-check method.
(4y - 1)(2y + 3) = 0
Set each factor equal to 0 to find the solutions:
4y - 1 = 0
4y = 1
y = 1/4
2y + 3 = 0
2y = -3
y = -3/2
Answer:
Step-by-step explanation:
Given
Required
Find x such that:
This gives:
Collect like terms
Expand
Factorize
Factor out x - 1
Solve:
Answer:
D. The graphs of the equations intersect each other at two places.
Step-by-step explanation:
The definition of a solution of a system of two equations in two variables is a point where the graphs intersect. A system of equations having graphs that intersect each other will have as many solutions as there are intersection points. If the graphs intersect in two places, there will be two solutions.
