The converse of the statement is "If Gus buys the Churros then Shawn solves the case". The converse of statement is simply reversal of the hypothesis and the conclusion. In the given statement, the hypothesis was "If Shawn solves the case". The conclusion was "Gus buys the Churros".
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Answer:
x = 3
Step-by-step explanation:
The equation can be rewritten to make use of the graphing calculator's ability to identify function zeros:
x(x -2)(x +3) -18 = 0
The attached shows x = 3 is the only real solution.
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We're not sure what "system of equations" is intended. Perhaps it is ...
y = 18
y = x(x -2)(x +3)
To create the expression we graphed, we effectively subtracted the first equation from the second.
Answer:

Step-by-step explanation:
Corresponding angles of two parallel lines are always equal. The angle on "top" of
corresponds with the angle marked as
. Therefore, its measure must also be
.
Since these two angles form one side of a line which has 180 degrees, we have the following equation:

Combine like terms:

Subtract 15 from both sides:

Divide both sides by 3:

SOLUTION:
Step 1:
In this question, we are meant to:
Translate the following word phrases to an algebraic expression and simplify:
“8 times the difference of 6 times a number and 3”
Step 2:
Assuming the unknown number be y, we have that:

CONCLUSION:
The final answer is:

Answer:
x = 7/3
Step-by-step explanation:
4x - 2 = x + 3 + 2
4x - 2 = x + 5
Rearranging the terms, we get,
4x - x = 5 + 2
3x = 7
x = 7/3
Hence, x = 7/3.