Answer:
The domain is 4, range is 5
Step-by-step explanation:
Answer:
Part 1) (the missing steps in the explanation)
Part 3) (8, 4); The vertex represents the maximum profit
Part 4) x = 3.58, 0.42
Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made
Part 6) 2(x − 7)2 + 118; x = $7
Part 7) The maximum height of the puck is 4 feet. −(x − 4)^2 + 6
Part 8) (x + 3)^2 − 4
Part 9) 2(x − 1)^2 = 4
Part 10) 8(x − 4)^2 + 592
Step-by-step explanation:
Answer:
Sin of x does not change
Step-by-step explanation:
Whenever a triangle is dilated, the angle remains the same as well as the ratio for sides of triangle. For smshapes with dimensions, when shapes are dilated the dimensions has increment with common factor.
From trigonometry,
Sin(x)=opposite/hypotenose
Where x=4/5
Sin(4/5)= opposite/hypotenose
But we were given the scale factor of 2 which means the dilation is to two times big.
Then we have
Sin(x)=(2×opposite)/(2×hypotenose)
Then,if we divide by 2 the numerator and denominator we still have
Sin(x)=opposite/hypotenose
Which means the two in numerator and denominator is cancelled out.
Then we still have the same sin of x. as sin(4/5)
Hence,Sin of x does not change
Answer:
The number N of bacteria in a refrigerated food is given by N(T) = 10T^2 - 20T + 600, 2 ≤ T ≤ 20 where T is the temperature of the food in degrees Celsius. When the food is removed from refrigeration, the temperature of the food is given by T(t) = 3t + 2, 0 ≤ t ≤ 6 where t is the time in hours.
Step-by-step explanation:
In this problem, you have to find the total profit the company made in the three quarters which makes up 3/4 of the whole. In the second quarter, the profit is 4 million. Let x be the profit in the first quarter. Following the description,
4 = (1+1/3)x
x = 3 million
Thus, the second quarter made 5.33 million profit.
For the third quarter, let's assign it to the y variable. Following the description,
4 = (4/5)(y)
y = 5 million
Thus, the total profit is 4 + 3 + 5 = 12 million
