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2 years ago

Write an equation for the cubic polynomial function whose graph has zeroes at 2, 3, and 5.

Mathematics

2 answers:

tiny-mole [99]2 years ago

7 0

Answer:

sample response: None of the roots can have multiplicity because the polynomial is cubic and 3 roots are given. Write each root as a linear factor, then multiply the three factors to get the expression for the function.

Step-by-step explanation:

allochka39001 [22]2 years ago

3 0

F(x) = (x - 2)(x -3)(x - 5)

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What do you already know about linear relationships?

inna [77]

Answer:

A linear relationship (or linear association) is a statistical term used to describe a straight-line relationship between two variables. Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + b.

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2 years ago

Prove that H c G is a normal subgroup if and only if every left coset is a right coset, i.e., aH = Ha for all a e G

Kaylis [27]

$\Rightarrow$

Suppose first that $H\subset G$ is a normal subgroup. Then by definition we must have for all $a\in H$ , $xax^{-1} \in H$ for every $x\in G$ . Let $a\in G$ and choose $(ab)\in aH$ ( $b\in H$ ). By hypothesis we have $aba^{-1} =abbb^{-1}a^{-1}=(ab)b(ab)^{-1} \in H$ , i.e. $aba^{-1}=c$ for some $c\in H$ , thus $ab=ca \in Ha$ . So we have $aH\subset Ha$ . You can prove $Ha\subset aH$ in the same way.

$\Leftarrow$

Suppose $aH=Ha$ for all $a\in G$ . Let $h\in H$ , we have to prove $aha^{-1} \in H$ for every $a\in G$ . So, let $a\in G$ . We have that $ha^{-1} =a^{-1}h'$ for some $h'\in H$ (by the hypothesis). hence we have $aha^{-1}=h' \in H$ . Because $a$ was chosen arbitrarily we have the desired .

5 0

2 years ago

I need help PLEASE help mee

EastWind [94]

Answer:

Step-by-step explanation:

In order to convert 0.0004578, which is in decimal, to scientific notation, all we need to do in this case is to move our decimal point to the right till we arrive at the first number that is not a zero, and then eliminate all the zero.

In this case, we will have to move the decimal point 4 spaces to our right, which would mean our exponent would be negative. The number of decimal spaces we moved to our right would be the value of our exponent, which is -4 in this case.

Thus, we have:

$4.578 * 10^{-4}$

6 0

3 years ago

Juan bought fruit from the grocery store. The variables below define his purchase. Juan’s bananas cost half as much as apples. W

mixas84 [53]

Answer:

$B = \frac{1}{2}A$

$A = 2B$

Step-by-step explanation:

Given

Represent apple with A and Banana with B

Required

Determine the relationship between A and B

From the question, we understand that:

B costs half as much as A

This can be represented as:

$B = \frac{1}{2} * A$

$B = \frac{1}{2}A$

Multiply both sides by 2

$2*B = \frac{1}{2}A*2$

$2B = A$

$A = 2B$

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2 years ago

cinema A sells a twelve pack of moive passes for $66. Cinema B selles a five pack of moive passes for $28. Find the cost per moi

nekit [7.7K]

CINEMA A sells each movie pass for $5.50, and CINEMA B sells each movie pass for $5.60.

To find the cost of each pass in Cinema A, all you would have to do it divide 66 by 12, where you would get 5.5, which in other words would be $5.50. And to find the cost of each pass in Cinema B, you wound divide 28 by 5,and you would get 5.6, which is in other words, $5.60.

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3 years ago