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3 years ago

Write a polynomial function with rational coefficients so that P(x)=0 has the given root.

Mathematics

1 answer:

Oxana [17]3 years ago

4 0

(x-7)*(x-12)= x^2-19x+84

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Simplify: -8c + w + 6c - 5w I will give Brainliest and Thanks

Gekata [30.6K]

Answer:

The answer is -2c - 4w

Step-by-step explanation:

You have to combine the c's and the w's and you get -2c and -4w

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3 years ago

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A number increased by 100% and decreased by 20% is x. what is the number ? NEEDED TODAY

vodka [1.7K]

Answer:

Let's assume the number be 100.

According to the problem , 100 is increased by 100%.

So, new number will be 100+100=200

Now 200 will decreased by 20%.

So, 20% of 200= 0.20*200= 40.

So, again the number has been changed into 200+40=240.

So, x=240

Step-by-step explanation:

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3 years ago

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Which of the following have the property that a(x)=a−1(x)? I. y=x II. y=1/x III.y=x^2 IV. y=x^3 A. I and II, only B. IV, only C.

valentina_108 [34]

Answer:

Correct answer:

A. I and II

Step-by-step explanation:

First of all, let us have a look at the steps of finding inverse of a function.

1. Replace y with x and x with y.

2. Solve for y.

3. Replace y with $f^{-1}(x)$

Given that:

$I.\ y=x \\II.\ y=\dfrac{1}x \\III.\ y=x^2 \\IV.\ y=x^3$

Now, let us find inverse of each option one by one.

I. y = x, a(x) = x

Replacing y with and x with y:

x = y

x = $a^{-1}(x)$ = $a(x)$ Hence, I is true.

II. $y =\dfrac{1}{x}$

Replacing y with and x with y:

$x =\dfrac{1}{y}$

$x=\dfrac{1}{a^{-1}(x)}$

$\Rightarrow a^{-1}(x) = \dfrac{1}{x}$

$a^{-1}(x)$ = $a(x)$ Hence, II is true.

III. $y =x^{2}$

Replacing y with and x with y:

$x =y^{2}\\\Rightarrow y = \sqrt x\\\Rightarrow a^{-1}(x) = \sqrt{x} \ne a(x)$

Hence, III is not true.

IV. $y =x^{3}$

Replacing y with and x with y:

$x =y^{3}\\\Rightarrow y = \sqrt[3] x\\\Rightarrow a^{-1}(x) = \sqrt[3]{x} \ne a(x)$

Hence, IV is not true.

Correct answer:

A. I and II

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3 years ago

Use the expression 5(6 + 4x) to answer the following:

marissa [1.9K]

The answer is a the answer is a

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3 years ago

How to put y-3x=19 into intercept form

Musya8 [376]

Slope-intercept form looks like this: y = mx + b. For your equation, simply add 3x on both sides: y = 3x + 19.

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3 years ago