There are 4 vertexes, so you know it's a polygon. When you graph these points it looks like the picture I linked below. It's a parallelogram because it has 2 pairs of parallel lines.
Mr. D'Angelo hired a painter to paint the outside of his house green. The painter must mix 3 gallons of blue paint with every 5
1 answer:
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Answer:
A) 3%
B) Product A
Step-by-step explanation:
<u>Exponential Function</u>
General form of an exponential function:
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
<u>Part A</u>
<u>Product A</u>
Assuming the function for Product A is <u>exponential</u>:
The base (b) is 1.03. As b > 1 then it is an <u>increasing function</u>.
To calculate the percentage increase/decrease, subtract 1 from the base:
⇒ 1.03 - 1 = 0.03 = 3%
Therefore, <u>product A is increasing by 3% each year.</u>
<u>Part B</u>
To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:
Check using different two consecutive values of f(t):
Therefore, as 3% > 1%, <u>Product A recorded a greater percentage change</u> 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)
To check this, substitute the values of t for 1 through 4 into the found function:
As these values match the values in the given table, this confirms that the found function for Product B is correct and that <u>Product B increases by 1% per year.</u>
Answer:
Step-by-step explanation:
Isolate the variable of y from one side of the equation.
-14=5(3y-10)-5y
<u>First, switch sides.</u>
Use the distributive property.
<u>DISTRIBUTIVE PROPERTY:</u>
A(B-C)=AB-AC
5(3y-10)
Multiply by expand.
5*3y=15y
5*10=50
15y-50-5y
15y-5=10y
= 10y-50
10y-50=-15
Add by 50 from both sides.
10y-50+50=-15+50
Solve.
10y=35
Then, you divide by 10 from both sides.
10y/10=35/10
Solve.
Divide the numbers from left to right.
35/10=7/2
y=7/2
Divide is another option.
7/2=3.5
- <u>Therefore, the correct answer is y=7/2.</u>
I hope this helps. Let me know if you have any questions.