Which expression is equivalent to -6-(-2)?
2 answers:
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There are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
<h3>What is an exponential function?</h3>It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent y = a^x
where a is a constant and a>1
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have two equations:
y = –2x – 1 and
From the graph, we can see:
There are two intersection points:
(-1, 1) and (-2, 3)
The x coordinates are -1 and -2
x = -1, y = 1
x = -2, y = 3
Thus, there are two intersection points (-1, 1) and (-2, 3), and the x coordinates are -1 and -2.
Learn more about the exponential function here:
#SPJ1
Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
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b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
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c) The derivative is ...
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The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
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<em>Additional comment</em>
It is impossible to specify an equilateral triangle using rational coordinates.
