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2 years ago

What is the scale factor from triangle abc to triangle A' B' C' ? Also explain how.

Mathematics

2 answers:

Serga [27]2 years ago

5 0

Okay so 938 and 909 are the main triangle in algebra 2. This is because

stiv31 [10]2 years ago

5 0

Answer: Possibly 1.33333333 or rounded to 1.33

Explanation: Length AB multiplied by 1.33333333 equals 4, which is the length of A’B’.

Length BC multiplied by 1.33333333 equals 5.3333332, which is close to the length of B’C’

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The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price

likoan [24]

Answer:

A) 3%

B) Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: $y=ab^x$

where:

a is the initial value (y-intercept)
b is the base (growth/decay factor) in decimal form
x is the independent variable
y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

$f(x) = 0.69(1.03)^x$

The base (b) is 1.03. As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

$\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100$

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

$\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%$

Check using different two consecutive values of f(t):

$\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%$

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100
b = 1.01
n = t - 1 (as the initial value is for t = 1 not t = 0)

$\implies f(t) = 10100(1.01)^{t-1}$

To check this, substitute the values of t for 1 through 4 into the found function:

$\implies f(1) = 10100(1.01)^{1-1}=10100$

$\implies f(2) = 10100(1.01)^{2-1}=10201$

$\implies f(3) = 10100(1.01)^{3-1}=10303.01$

$\implies f(4) = 10100(1.01)^{4-1}=10406.04$

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

4 0

2 years ago

7260÷91= please show the work

Degger [83]

7260÷91

91 goes into 726 7 times

with 890 left 91 goes into it 9 time with the remainder of 71

the answer is 79 r 71

6 0

3 years ago

Can you make all the numbers from 1 to 20 using 4 fours?

Effectus [21]

Answer: no you can't you can only use 5 numbers when going by 4's

Step-by-step explanation: 4, 8, 12, 16, 20

8 0