- -_is_an -_x-coordinate_of_an_x-intercept_of_the - - - - - - - What = 3(x−14)(x+5)(x+4) graph of y in the xy-plane?
Correct answer: 5 or 4 (parsed from the explanation — this source omits an answer key for this item)
Explanation
14 - - The correct answer is either , 5, or 4. The x-intercepts of a graph in the xy-plane are the points at which the graph intersects the x-axis, or when the value of y is 0. Substituting 0 for y in the given equation yields 0=3 -14 +5 +4 ^x h^x h^hx . Dividing both sides of this equation by 3 yields 0= -14 +5 +4 ^x h^x h^hx . Applying the zero product property to this equation -14=0 +5=0 +4=0 14 yields three equations: x , x , and x . Adding to both -14=0 =14 sides of the equation x yields x , subtracting 5 from both sides of +5=0 =- the equation x yields x 5, and subtracting 4 from both sides of the +4=0 =- equation x yields x 4. Therefore, the x-coordinates of the x-intercepts 14 - - of the graph of the given equation are , 5, and 4. Note that 14, -5, and -4 are examples of ways to enter a correct answer. 32 SAT PRACTICE TEST #7 ANSWER EXPLANATIONS SAT ANSWER EXPLANATIONS n MATH: MODULE 1
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