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Translation: The shape or object will move left, right, up, or down. Also, you could have a combination like up and right. Rotation: The shape or object will turn. This is usually turning some degree clockwise or counterclockwise. Reflection: The shape or object flips across a line or point Dilation: The shape or object gets smaller or bigger by a scale factor.
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At the end of the third year the population of beetles will be 11,576beetles
<h3>Exponential equations</h3>
The standard form of an exponential function is given as:
y = ab^t
Given the following parameters
initial population 'a" = 10,000 beetles
Time = 3 years
rate b = 1.05
Substitute into the formula
y = 10,000(1.05)^3
y = 10,000(1.1576)
y = 11,576 beetles
Hence at the end of the third year the population of beetles will be 11,576beetles
Learn more on exponential function here: brainly.com/question/12940982
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Answer:
Step-by-step explanation:
x/-7<14
-x<98
x>-98
The objective function of a linear programming problem is a linear function.
A valid objective function is (b) Min 4x+3y+(2/3)z
The form of the objective function of a linear programming problem is:
The above function means that:
- The objective function cannot contain the product of the variables
- The objective function cannot contain the quotient of the variables
The above highlights mean that:
- The objective function can contain the sum of the variables
- The objective function can contain the difference of the variables
Hence, the valid objective function is (b) Min 4x+3y+(2/3)z
Read more about objective functions at:
brainly.com/question/11206462
I will answer second attachment and after since I can't see the firs attachment
2nd attachment
if x is negative, then the first number gets infinitely small
look at the second number, the first 2 is -2 which is wrong since it should be +2
3rd option is not because if x=-2, then y=1
answer is D
3rd attachment
2nd: f(x)=60*1.15^x
3rd: no xint
6th: after 7.86 years value tripples
7th maybe: after 8 years value is 183.51, not exatly 184.00
4th attachment
nth score is
f(n)=57+4(n-1)
9th is
f(9)=57+4(9-1)
57+32=89
answer is C 89
5th
f(t)=23000(1.02)^t
t=time in years from 23000
