X2 – 11x + 5 = -2x Solve equation to the nearest tenth
1 answer:
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Option D: is the solution to the inequalities.
Explanation:
From the given graph, we can see that the equation of the inequalities are
and
To determine the coordinate that satisfies the inequality, let us substitute the coordinates in both of the inequalities and
Thus, we have,
Option A:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option A is not the correct answer.
Option B:
Substituting the coordinates in and
, we get,
is not true.
is not true.
Since, both the equations does not satisfy the condition, the coordinate is not a solution.
Hence, Option B is not the correct answer.
Option C:
Substituting the coordinates in and
, we get,
is not true.
is true.
Since, only one equation satisfies the condition, the coordinate is not a solution.
Hence, Option C is not the correct answer.
Option D:
Substituting the coordinates in and
, we get,
is true.
is true.
Since, both equation satisfies the condition, the coordinate is a solution.
Hence, Option D is the correct answer.
Answer:
Weight of dog: 34 pounds,
Weight of cat: 12 pounds.
Step-by-step explanation:
Let d represent weight of dog and c represent weight of cat.
We have been given that a dog weighs two pounds less than three times the weight of a cat.
3 times weight of cat:
We can represent the given information in an equation as:
We are also told that the dog also weights twenty-two more pounds than the cat. We can represent the given information in an equation as:
Equate both equations:
Therefore, the weight of cat is 12 pounds.
Substitute in equation (2)
Therefore, the weight of dog is 34 pounds.