Suppose that we ask n randomly selected people whether they share your birthday. (a) Give an expression in terms of n for the pr
1 answer:
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Answer:
- See the graph attached
- x₁ ≈ - 2.1
- x₂ ≈ 0.2
Explanation:
To solve log (−5.6x + 1.3) = −1 − x graphycally, you must graph this system of equations on the same coordinate plane:
- Equation 1: y = log (5.6x + 1.3)
- Equatin2: y = - 1 - x
1) To graph the equation 1 you can use these features of logarithmfunctions:
- Domain: positive values ⇒ -5.6x + 1.3 > 0 ⇒ x < 13/56 (≈ 0.23)
- Range: all real numbers (- ∞ , ∞)
- x-intercept:
log ( -5.6x + 1.3) = 0 ⇒ -5.6x + 1.3 = 1 ⇒x = 0.3/5.6 ≈ 0.054
- y-intercept:
x = 0 ⇒ log (0 + 1.3) = log (1.3) ≈ 0.11
- Pick some other values and build a table:
x log (-5.6x + 1.3)
-1 0.8
-2 1.1
-3 1.3
- You can see such graph on the picture attached: it is the red curve.
2) Graphing the equation 2 is easier because it is a line: y = - 1 - x
- slope, m = - 1 (the coeficient of x)
- y - intercept, b = - 1 (the constant term)
- x - intercept: y = 0 = - 1 - x ⇒ x = - 1
- The graph is the blue line on the picture.
3) The solution or solutions of the equations are the intersection points of the two graphs. So, now the graph method just requires that you read the x coordinates of the intersection points. From the least to the greatest, rounded to the nearest tenth, they are:
- <u><em>x₁ ≈ - 2.1</em></u>
- <u><em>x₂ ≈ 0.2</em></u>
Answer:
The possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares by purchasing land.
Step-by-step explanation:
Let the variable <em>X</em> represent the amount of land used for planting trees and <em>Y</em> represent the amount of land purchased.
The goal of the environmental initiative is to save at least 25 million hectares of rain forest.
That is:
<em>X</em> + <em>Y</em> = 25....(i)
Now it is provided that:
- The cost of planting trees is $ 400 per hectare.
- The cost of purchasing land is $ 260 per hectare.
- The initiative has a budget of $8,250 million.
Using the above data it can be said that:
400<em>X</em> + 260<em>Y</em> = 8250....(ii)
Solve equations (i) and (ii) simultaneously.
Then the value of <em>y</em> is:
Thus, the possible way for the initiative to accomplish its goal without exceeding its budget is use 12.5 hectares for planting trees and 12.5 hectares for purchasing land.
On a coordinate plane, 2 curves mirror each other in quadrants 1 and 3
Step-by-step explanation:
A exponential function is one in which the variable appears in the exponent.
The common form of exponential functions is y=b^x where b is a positive number.
Where b >1 exponential growth occurs and where b<1, an exponential decay is observed.
Points (0,1) and (1,b) are always on the graph of the function y=b^x
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Exponential functions :brainly.com/question/2141793
Keywords : graph, exponential function, curve
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