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natali 33 [55]
3 years ago
9

What is an exponential decay function?

Mathematics
1 answer:
Vikki [24]3 years ago
5 0

Answer:

In mathematics, exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula y=a(1-b)x wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.

Step-by-step explanation:

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I NEED HELP ASAP PLEASEEEE
zhuklara [117]

Answer:

(f-g)(x)=x^2-6x+5  dom: (-∞,∞)

(\frac{f}{g})(x)=x-7+\frac{7}{x+2} dom: (–∞,–2)u(–2,∞)

Step-by-step explanation:

(f-g)(x)=f(x)-g(x)=(x^2-5x+7)-(x+2) *distribute the negative sign into (x+2)!

x^2-5x+7-x-2\\x^2-6x+5

a parabola (anything that begins with x^2) will have a domain of (-∞,∞) or all real numbers!!

(\frac{f}{g} )(x)= \frac{x^2-5x+7}{x+2}      use synthetic division to divide (the attached picture)

domain: Because the graph is not continuous, you have to write the domains on both sides of the asymptote which is (-∞,-2)u(-2,∞)

<u>synthetic division:</u>

1. take the divisor (x+2) and solve for x.    x= –2 this goes in the top left corner

2. write the numbers AND their signs on the top row. if there is no number and just the variable (like x^2 ) just write 1.

3. the first number gets pulled down

4. multiply -2 by 1 and subtract it from –5. (-5-2= -7)

multiply -2 by -7 and add that to the next number in the top row which is -7. (-7 + 14=7)

5. the first number in the bottom row of numbers is the first number in the answer but with one less exponent than the dividend. **write 1 as x**

6. the last number in the bottom row, if it is not 0, is a remainder. write it as that number over the divisor. in this case the remainder is 7. so write it as \frac{7}{x+2}

4 0
2 years ago
Is 14 quarter inches the most common measurement
borishaifa [10]
^ if you're talking universally, no it would be cm. But no one really says "quarter inches". You would just say inches
7 0
4 years ago
Solve the system of equations.
Brums [2.3K]
Solve the system of equations.
12x + 3y = 12
-6x +y = -26


A) (-3,9)
B (-6, -9)
© (-3,8)
D (3, -8)



12x + 3y = 12
2(-6x +y = -26)

12x + 3y = 12
-12x + 2y = -52

—-now x cancels out

5y/5 = -40/5

y = -8

The answer should be D. Let me know if you got it right.



7 0
2 years ago
Read 2 more answers
Television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a q
kobusy [5.1K]

Answer:

Option d

Step-by-step explanation:

Given that television networks frequently run public opinion polls on issues of concern. One network conducted a scientific poll asking a question concerning the approval rating of the way President Obama was handling the Iraq War. At about the same time a second network ran an online poll using a very similar question.

Observed data is

Poll              Scien      Online total

   

approve    339   385      724

disapprove 780        573     1363

                 1119        958     2087

H_0: Both scientific and online are consistent\\H_a: not consistent

(Two tailed chi square test)

Let us find out expected and chi square

Expected = row total x column total/grand total

The cell count expected in the online poll for those who approve

=\frac{724*968}{2087} \\=333.94

chi square = 7.81

Hence option d is right.

4 0
3 years ago
6. What is the product of 3/5 x 2 1/3 written in simplest form?
Aleksandr [31]
The correct answer would be C: 1 2/5
7 0
3 years ago
Read 2 more answers
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