(x + 3 )(2x + 5)
consider the factors of the product of the coefficient of the x² term and the constant which sum to give the coefficient of the x term
consider the factors of the product 2 × 15 = 30 which sum to give + 11
these are + 6 and + 5
split the middle term using these factors
2x² + 6x + 5x + 15 ( factor by grouping )
= 2x(x + 3 ) + 5(x + 3 ) ( factor out (x + 3) )
= (x + 3)(2x + 5) ← in factored form
Step-by-step explanation:
if I understand your text right, we are looking at the line going through the points (0, 2) and (5, 3).
the slope is in a line equation always the factor of x.
anyway, it is expressed as ratio y/x indicating how many units y changes, when x changes a certain amount of units when going from one point on the line to another.
so, we are simply going from (0, 2) to (5, 3).
x changes by +5 (from 0 to 5).
y changes by +1 (from 2 to 3).
so, the slope is y/x = 1/5.
Answer:
The rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
Step-by-step explanation:
Flying against the wind, the speed of the airplane is 750 miles per hour (3000/4), while flying with a downwind, its speed is 1500 miles per hour (7500/6). Therefore, the difference between the two speeds is 750 miles per hour, so since the distance traveled is the same, the midpoint between the two speeds is 375 miles per hour. Then, without wind, the plane would travel the same distances at a speed of 1125 miles per hour.
In conclusion, the rate of the jet in still air is 1125 miles per hour, and the rate of the wind is 375 miles per hour.
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Step-by-step explanation: https://www.varsitytutors.com/7th_grade_math-help/data
Answer:
518
Step-by-step explanation:
since it has been 3 hours and he has traveled 222 miles divide that by 3 to get Miles Per Hour which is 74 now multiply 74(MPH) by 7(Hours) you're answer: 518