1) Identify the end behavior of the function ƒ(x) = −7x3 + 7x2 + 5x − 2.

Please help!!!! Will mark Brainliest!!!! Pleaseeee!! 20 Points!!!!

Lesechka [4]

Your answer : is b (the letter b)

4 0

3 years ago

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

Please Help extra points

Molodets [167]

$1^{st}$ : $24.48 per year + price * 0.85

$2^{nd}$ : $36.83 per year + price * 0.75

Substitute each value into both equations as price.

A:

129.4635

129.4625

B:

98.158

101.84

C:

145.2055

143.3625

D:

155.703

152.615

A is the lowest value where the second value is lower than the first.

3 0

4 years ago

Solve system by elimination 8x-8y=-16 -8x-7y=-29

Gnesinka [82]

Add these together.
You get -15y=-45
So y=3

Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1

Check both values in second equation.
-8(1)-7(3)=
-8-21=-29

It works...so x=1, y=3

6 0

4 years ago

How many quarts of a 50% solution of acid must be added to 20 quarts of a 20% solution of acid to obtain a mixture containing a

Nuetrik [128]

Answer:

40 quarts.

Step-by-step explanation:

Let x =quarts of the 50% solution

so, according to the question

the typical mixture equivalent equation will be like this

$.50x + .20(20) = .40(x+20)\\.50x + 4 = .40x + 8\\.50x - .40x = 8 - 4\\.10x = 4\\x = 4/.10 \\x = 40$

so the answer will be 40 quarts of 50% solution should be added.

5 0

3 years ago

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