The interpretation of<em> </em><em>x</em> in the equation 75•x + 19•y = T, used by the geographer, based on the land area of Aruba, 75 m², and Bermuda, 19 m², is the population in a square mile of Aruba
<h3>Which method can be used to find the interpretation of <em>x </em>in the equation?</h3>
The land area of Aruba = 75 m²
Land area of Bermuda = 19 m²
The total number of residents is given in the question by the equation;
75•x + 19•y = T
Therefore;
x = The number of people in a square mile in Aruba
y = The number of people in a square mile in Bermuda
Which gives;
- The interpretation of the variable, <em>x </em>in the context is the population of Aruba per square mile.
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We can use quadratic formula to determine the roots of the given quadratic equation.
The quadratic formula is:

b = coefficient of x term = -11
a = coefficient of squared term = 2
c = constant term = 15
Using the values, we get:
So, the correct answer to this question are option B and D
Y = -5x + 1
x = 1 , y = -4
x = 2 , y = -9
x = 3 , y = -14
so the answers are
(1,-4)
(2,-9)
(3,-14)
it takes 5 seconds to reach a height of 40 ft. and It takes 2.5 seconds to reach maximum height.
Let h(t) represent the height of the ball at time t.
Given that the height is given by:
h(t) = -16t² + 80t + 40
1) For the ball to reach a height 0f 40 ft, h(t) = 40, hence:
40 = -16t² + 80t + 40
16t² - 80t = 0
t(t - 5) = 0
t = 0 or t = 5
Hence it takes 5 seconds to reach a height of 40 ft.
2) The maximum height is at h'(t) = 0,
h'(t) = -32t + 80
-32t + 80 = 0
32t = 80
t = 2.5
It takes 2.5 seconds to reach maximum height.
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Answer:
Bolt A will fit Nut A and Nut B
Step-by-step explanation:
We have the following statements:
Nut C fits on Bolt C.
Nut B fits on Bolt B.
Nut A fits on Bolt A.
Bolt C is larger than Bolt B.
Bolt A and Bolt B are exactly the same.
Then we can say that Bolt A will fit Nut A and Nut B...