Answer:
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Answer:
The answer is B.
Step-by-step explanation:
The tank initially had 1,200 gallons of water, which is leaking at the rate of 2.5 gallons per hour.
Answer:
All real numbers greater than or equal to -2.
Step-by-step explanation:
The range is the set of values of the y-coordinates of the points on the graph.
The smallest y-coordinate is -2. All real numbers greater than equal to -2 are the range.
Answer: All real numbers greater than or equal to -2.
Answer:
A) x = {5, 7}
B) The solutions make the equation true.
Step-by-step explanation:
<u>Part A</u>:
To solve this by factoring, you need to find factors of 35 that have a sum of -12. Since 35 is the product of two primes, the search is a short one.
35 = (-1)(-35) = (-5)(-7)
The corresponding sums are -36 and -12, so the latter factor pair is the one we want. Since the coefficient of x^2 is 1, we can use these numbers directly in the binomial factors:
x^2 -12x +35 = (x -5)(x -7) = 0
The zero product rule tells us this product is zero only when one of the factors is zero:
x -5 = 0 ⇒ x = 5
x -7 = 0 ⇒ x = 7
The two solutions are x=5 and x=7.
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<u>Part B</u>:
The solutions from part A are the x-intercepts of the graph of the quadratic expression. They are the values of x that make the quadratic expression be zero. That is, they are the values of x that make the equation true.
Answer:
1/6
Step-by-step explanation:
questions which include 'of 'usually means "×" (multiplication sign) so when u multiply them it gives 1/6
