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Lelechka [254]
3 years ago
7

Which of the number(s) below are potential roots

Mathematics
1 answer:
Gnom [1K]3 years ago
8 0

Answer:

+1 is the potential root of the function.

Step-by-step explanation:

Given;

p(x) = x⁴ + 22x⁴ – 16x - 12

A potential root of the function is zero of the function. That is a potential root will reduce the function to  zero or close to zero.

To determine this, we test each of the root given;

p(6) = (6)⁴ + 22(6)⁴ - 16(6) - 12 = 29700

p(3) = (3)⁴ + 22(3)⁴ - 16(3) - 12 = 1803

p(1) = (1)⁴ + 22(1)⁴ - 16(1) - 12 = -5

p(8) = (8)⁴ + 22(8)⁴ - 16(8) - 12 = 94068

The only number that reduces the function close to zero is +1, then +1 is the potential root of the function.

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Find the median of the following set of data. Round your answer to the nearest hundredth, if necessary.
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3 years ago
Find the Slope:
AveGali [126]

Answer:

4) slope= 0

5) slope =  -  \frac{1}{7}

Step-by-step explanation:

\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }

4) Slope

=  \frac{10 - 10}{ - 10 - 3}

=  \frac{0}{ - 13}

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

=  \frac{5 - 4}{2 - 9}

=  \frac{1}{ - 7}

=  -  \frac{1}{7}

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

6 0
3 years ago
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Need help math question worth 30 points help plzzzzzz
grin007 [14]

Answer:

c

Step-by-step explanation:

because the real awnser is 57/4 but simpfly

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he graph represents function 1, and the equation represents function 2: A coordinate plane graph is shown. A horizontal line is
Reika [66]

Answer:

The answer is 2

Step-by-step explanation:

Rate of change of function is given by :

\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}

For function y = 6,

rate of change =  

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{6-6}{x_{2}-x_{1}}\\=0

because the function is independent of x.

For function y = 2·x + 7,

rate of change =

=\frac{(f(x_{2})-f(x_{1}))}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}+7-2\cdot x_{1}-7}{x_{2}-x_{1}}\\=\frac{2\cdot x_{2}-2\cdot x_{1}}{x_{2}-x_{1}}\\=\frac{2\cdot (x_{2}-x_{1})}{x_{2}-x_{1}}\\=2

So, the rate of change of 2 is greater than rate of change of function 1 by 2 - 0 = 2.




8 0
3 years ago
A teacher plans a simulation to estimate the probability that a student will pick a vowel out of a bag of 26 tiles, each with a
OleMash [197]

Answer:

No, because the probabilities of drawing a vowel versus a constant are not equally likely.

Step-by-step explanation:

Each number in a random number generator is equally likely.  If she assigns only the number 1 to vowels and only the number 2 to consonants, she will get results showing that they are equally likely.

In reality, 5 of the 26 letters are vowels (not including y).  The teacher should assign numbers 1 through 5 to vowels, and numbers 6 through 26 to consonants.  This will be a fair representation.

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