Answer:
y=30x^2+36x+48 OR f(x)=30x^2+36x+48
This is an exponential function/exponential graph. Hope I helped!
Step-by-step explanation:
Given: y=2(3x+6)(5x-4)
Use the distributive property!: y=(6x+12)(5x-4)
Use the distributive property!: y=(5x(6x+12)-4(6x+12))
Use the distributive property!: y=(30x^2+60x)-(24x+48)
Remove parenthesis: y=30x^2+60x-24x+48y=30x^2+36x+48 OR f(x)=30x^2+36x+48
This is an exponential function/exponential graph. Hope I helped!
Answer:
x = 109
Top Right Angle = 109
Bottom Right Angle = 71
Step-by-step explanation:
Notice the two right angles on the left and recognize that the figure is a a quadrilateral (4 sides). That means it adds up to a total of 360 degrees.
(x-38) + x + 90 + 90 = 360
2x + 142 = 360
2x = 218
x = 109
(x - 38) = (109 - 38)
71 degrees for bottom right angle
109 for top right angle
Answer:
after 75 minutes
Step-by-step explanation:
The least common multiple (LCM) of 15 and 25 is 75. It can be found a couple of ways:
1. List the factors of each number and find the product of the unique ones:
15 = 3·5
25 = 5²
The LCM is 3·5² = 75.
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2. Find the greatest common divisor (GCD) and divide the product of the numbers by that value. From the above list of factors, we see that 5 is the GCD of 15 and 25. Then the LCM is ...
15·25/5 = 75
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Or, you can simply list multiples of each number and see what the smallest number is that is in both lists:
15, 30, 45, 60, <em>75</em>, 90
25, 50, <em>75</em>, 100
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The two buses will appear together again after 75 minutes.
