What is the scale factor of the dilation of ABCD centered at the origin?
1 answer:
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Answer:
1a) Length = 7x + 3 & Width = 4x - 2
1b) Area =
1c) Area = 2774 sq. m
2.
Step-by-step explanation:
1a)
The length given as words is "3 more than 7 times x"
The width given as words is "4 times x minus 2"
The expression for length would be 7x + 3
The expression for width would be 4x - 2
1b)
The area is length * width
Since we already know the algebraic expressions for length and width from part (a) above, we use the formula:
Area = (7x+3)(4x-2) = 28x^2 -14x + 12x - 6 = 28x^2 -2x -6
Area =
1c)
Given x = 10, we put this into the area expression we found in (b) above.Let's see:
Area = 2774 sq. m
2.
We can group the first two terms and next two terms and write up:
That's the factored form.
The decay factor of the exponential function given in the table is of .
A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:
More can be learned about exponential functions at brainly.com/question/25537936
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