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1 answer:
Answer:
A. x = 5 or 7
B. these are zeros of the quadratic
Step-by-step explanation:
A) To factor this equation, we look for factors of +35 that have a total of -12. We know that ...
35 = (-1)(-35) = (-5)(-7)
The latter factor pair has a total of -12, so we can use those in the binomial factors:
(x -5)(x -7) = 0
The solutions are the values of x that make these factors be zero:
x = 5 or x = 7
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B) The graph of the quadratic on the left of the equal sign is shown in the attachment. The solution values are the values of x where that graph crosses the x-axis, where the quadratic is equal to 0. This should come as no surprise, since we're solving the equation x^2 -12x +35 = 0.
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It is given in the question that
Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.
Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.
And the total messages are 89. That is
Combining like terms
So Chang sent 25 messages, Ann sent
And Kareem sent