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inysia [295]
2 years ago
13

The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and t

he other is an exponential function. Which function is most likely increasing quadratically?
x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it grows faster than g(x)
g(x), because it will not intersect f(x)
g(x), because it grows slower than f(x)
f(x), because it grows slower than g(x)
Mathematics
1 answer:
VMariaS [17]2 years ago
5 0

Answer:

The answer is f(x), because it grows slower than g(x).

Step-by-step explanation:

f(x) is a quadratic function (because as you can see the formula of f(x) is x^2 + 2). The function of g(x) is exponentional, and therefore it grows faster than f(x).

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Marlene's taxable income is $95,000. Use this tax schedule to calculate the total amount she owes in taxes. A. 12,88.75 B. 17,90
zheka24 [161]
The answer is C. 

Since here taxable income is over $77,100 and below $160,850, her tax is $15,698.75 + [.28*($95,000 - $77,100)].

Tax = $15,698.75 + [.28*($17,900)]<span>.
       = </span>$15,698.75 + [$5012]<span>.
       =</span><span> $</span><span>20,710.75

Thank you for posting this question. Please feel free to ask me more.</span>
7 0
3 years ago
On average, Tony the turtle completes a 15-foot course in 1 minute, and Antonio the turtle completes an 18-foot course in 1 minu
marishachu [46]

Answer:

15 feet.

Step-by-step explanation:

Tony's speed = 15 ft/min.

Antonio's = 18 feet /min.

So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.

So the answer is 90-75 = 15 feet.

8 0
3 years ago
What is the completely factored form of x^4y-4x^2y-5y
AnnZ [28]

Answer:

y(x^2+1)(x^2-5)

Step-by-step explanation:

Factor the expression by first finding a GCF. Each term has the y variable and this can be pulled out as the GCF.

x^4y-4x^2y-5y\\y(x^4-4x^2-5)

To further factor the expression break the polynomial into two binomials.

To factor into two binomials, find factors that multiply to -5 and add to -4.

-5 and 1 are factors and these make the binomials (x^2+1)(x^2-5).

The final factorization is y(x^2+1)(x^2-5)

3 0
3 years ago
Dylan invested some money in his bank.
Lana71 [14]

two years at 3% = .03*2 = .06

so

.06 times original deposit = 72

so 72/.06

which is

1200

4 0
2 years ago
I REALLY need help with these 3 questions plz!!!!
Tanzania [10]

Answer:

6. No. See explanation below.

7. 18 months

8. 16

Step-by-step explanation:

6. To rewrite a sum of two numbers using the distributive property, the two numbers must have a common factor greater than 1.

Let's find the GCF of 85 and 99:

85 = 5 * 17

99 = 3^2 + 11

5, 3, 11, and 17 are prime numbers. 85 and 99 have no prime factors in common. The GCF of 85 and 99 is 1, so the distributive property cannot be used on the sum 85 + 99.

Answer: No because the GCF of 85 and 99 is 1.

7.

We can solve this problem with the lest common multiple. We need to find a number of a month that is a multiple of both 6 and 9.

6 = 2 * 3

9 = 3^2

LCM = 2 * 3^2 = 2 * 9 = 18

Answer: 18 months

We can also answer this problem with a chart. We write the month number and whether they are home or on a trip. Then we look for the first month in which both are on a trip.

Month                Charlie          Dasha

1                          home             home

2                          home             home

3                          home             home

4                          home             home

5                          home             home

6                         trip                home

7                          home             home

8                          home             home

9                          home             trip

10                         home             home

11                         home             home

12                         trip               home

13                         home             home

14                         home             home

15                         home             home

16                         home             home

17                         home             home

18                         trip                 trip

Answer: 18 months

8.

First, we find the prime factorizations of 96 an 80.

96 = 2^5 * 3

80 = 2^4 *5

GCF = 2^4 = 16

Answer: 16

7 0
3 years ago
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