The y-intercept (point where x, or time equals zero), is 12 miles. This means that when observation of the bird began at time t=0, it was already away from its nest. Based on the rest the graph, one can infer that the bird has a very large range (travels far from her nest) and spends a great deal of time away from her nest.
To find the average rate of change of the function, take the change in y between x=1 and x=3 and divide by 2.
(36 - 20) / 2 = 16/2 = 8 miles / hour .
The domain of the function is the range of x for which y is a real number. We see in the chart provided that the bird travels 8 miles every hour.
How many hours will it take to travel 172 miles from the nest? The bird started at 12, so let's so how long it takes to travel 172 - 12 = 160 miles, moving at a rate of 8 miles/hour.
160 miles / 8mph = 20 hours
The domain of the function, the time range in which the bird travels 172 miles from the nest, will be 0 ≤ x ≤ 20
Answer:
1)10x-6
2)-8a-24b+28
3)-24m+16n+12
Step-by-step explanation:
1) distributive property is basically multiplying the term outside of the parenthesis which each term inside
1) 2(5x-3)
10x-6
2)-4(2a+6b-7)
-8a-24b+28
3) 8(-3m+2n)+12
-24m+16n+12
hope this helps!
Answer:
C
Step-by-step explanation:
simplify the equation 64/square root of 2 using calculater and the answer is 45.254834. Then make the answer to a power of 2. To make the answer power of two use log. log 45.254833 ÷ log 2 will give the answer as 5.5. so the answer is 2⁵½. I think.
Answer:
156 ft²
Step-by-step explanation:
Given :
The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.
The 2 triangular sides have a base of 3 feet and height of 4 feet
We sum the area of each side:
Area of triangular side = 1/2 * base * height
Since there are 2 triangular sides :
Total area of triangular side = 2(1/2 * base * height)
Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²
Area of rectangle sides = lengtb * width
Area 1 = 12 * 3 = 36 ft²
Area 2 = 12 * 5 = 60 ft²
Area 3 = 12 * 4 = 48 ft²
Total = 12 + 36 + 60 + 48 = 156 ft²
Step-by-step explanation:
60+55 equal 65 that my explain
