Hi there!
To create an expression that uses the distribution property which can be simplified into 40 + 4x, we can find a factor between 40 and 4:
Since both 40 and 4 is divisible by 4,
40 / 4 = 10
4 / 4 = 1
We can put the 4 on the outside of the parenthesis, and put the quotients inside the parenthesis. And since the expression is in addition, we should include the addition symbol as the operation inside the parenthesis.
4(10 + x)
would be your answer.
Hope this helps!
Answer:
Therefore, the pairs of twin-prime numbers are (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) . So, the correct answer is “ (101,103) , (107,109) , (137,139) , (149,151) , (179,181) , (191,193) , (197,199) ."
Answer: h(x) = -1200x^2 + 1950x + 4950
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Work Shown:
f(x) = revenue from the north
f(x) = -750x^2 + 1500x + 2250
g(x) = revenue from the south
g(x) = -450x^2 + 450x + 2700
h(x) = total revenue, ie add the two revenues
h(x) = f(x) + g(x)
h(x) = (-750x^2+1500x+2250)+(-450x^2+450x+2700)
h(x) = -1200x^2 + 1950x + 4950
<span>Total number of students: 115 + 225 + 140 = 480 Number of buses needed: 480 ÷ 80 = b
b = 6</span>