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docker41
20 days ago
10

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x4 – 2x2 – 3x + 4?

Mathematics
2 answers:
Zina [9.1K]20 days ago
6 0
The correct option is the first one - refer to the image for the solution:

Inessa [9K]20 days ago
4 0

Answer:

Choice 1.

Explanation in detail:

According to the rational root theorem, the possible rational roots of a function f(x) are identified as

roots=\dfrac{p}{q}

where p refers to a factor of the constant term and q indicates a factor of the leading coefficient.

The function provided is

f(x)=9x^4-2x^2-3x+4

In this case, the leading coefficient is 9, with factors of 9 being ±1, ±3, ±9.

The constant term is 4, and its factors are ±1, ±2, ±4.

The complete set of potential rational roots for f(x) includes

\pm \dfrac{1}{9},\pm \dfrac{2}{9},\pm \dfrac{4}{9},\pm \dfrac{1}{3},\pm \dfrac{2}{3},\pm \dfrac{4}{3},\pm 1,\pm 2,\pm 4

Hence, the correct choice is option 1.

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A woman drives an SUV that gets 14 mi/gal (mpg). Her husband drives a hybrid that gets 65 mpg. Every week, they travel the same
Zina [9171]
To tackle this problem, you can use the same method from the prior situation.

Option 1: 2/(1/16 + 1/65) = 25.7 mpg

Option 2: 2/(1/14 + 1/85) = 24.0 mpg

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3 0
19 days ago
Read 2 more answers
The value of an antique chair is expected to increase by 3% every year. If the chair was bought for $1,020 in 2001, find its exp
Zina [9171]
Greetings
The equation is
A = p (1 + r)^t
What is the future value?
P is the present value 1020
R is the rate of increase 0.03
T is the duration 2015−2001=14 years
So
A = 1,020 × (1 + 0.03)^(14)
A = 1,542.8 rounding it gives
A = 1543

Hope this information is helpful
8 0
4 days ago
If S is the midpoint of RT, RS = 5x + 17, and ST = 8x - 31, find the value of x and the measure of RS.
tester [8842]

Response: 13x-14

Detailed explanation:

5x+17+8x-31

4 0
16 days ago
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Evaluate the profit function at each vertex. P = 0.04x + 0.05y + 0.06(16 – x – y) (8, 1) P = (14, 1) P = (3, 6) P = (5, 10) P =
Svet_ta [9500]
The provided function is:
P = 0.04x + 0.05y + 0.06(16-x-y)

To determine the function's value at each vertex, simply plug in the respective x and y coordinates into the equation to find the value of P as shown below:
1- For (8,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(8) + 0.05(1) + 0.06(16-8-1)
P = 0.79

2- For (14,1):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(14) + 0.05(1) + 0.06(16-14-1)
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3- For (3,6):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(3) + 0.05(6) + 0.06(16-3-6)
P = 0.84

4- For (5,10):
P = 0.04x + 0.05y + 0.06(16-x-y)
P = 0.04(5) + 0.05(10) + 0.06(16-5-10)
P = 0.76

I hope this is useful:)
3 0
20 days ago
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Jeremy had 3/4 of a submarine sandwich and gave
PIT_PIT [9117]
The actual question asks, "<span>Jeremy possessed 3/4 of a submarine sandwich and shared 1/3 of that with his friend. How much of the sandwich did his friend obtain?"

Solution:
Calculating 1/3 of 3/4 of a submarine sandwich results in = 1/3 x 3/4 = 3/12 = 1/4
Therefore, Jeremy gave his friend 1/4 of the submarine sandwich. </span>
5 0
20 days ago
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