Answer:
C
Step-by-step explanation:
The average speed can be obtained by adding the distances together and dividing by the total amount of time.
The total distance the man traveled from A to D is the addition of the distance from A to B plus the distance from B to C plus the distance from C to D. This is mathematically equal to 145 + 160 + 115 = 420 miles.
Dividing 420 miles by 6 = 70 miles per hour
Alrighty (so what I did to find the answer is went to desmos and typed this equation in and then hit the bar thingy on the left and it turned it into a fraction)The awnser is B or 81/16
Eighty nine crore, six lakh, seventy eight thousand and three hundred forty.
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.
The answer is 50%.
25 is the half of 50. Therefore, 25 is 50% of 50.