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Maurinko [17]
3 years ago
14

Determine the resulting polynomial:

Mathematics
1 answer:
diamong [38]3 years ago
3 0

Answer:

24x^3-19x^2-62x+45

Step-by-step explanation:

f(x)=-3x+5

g(x)=-8x^2-7x+9

f(x)*g(x)=(-3x+5)(-8x^2-7x+9)

=(-3x)(-8x^2)+(-3x)(-7x)+(-3x)(9)+(5)(-8x^2)+(5)(-7x)+(5)(9)

=24x^3+21x^2-27x-40x^2-35x+45

=24x^3-19x^2-62x+45

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The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value
Natali [406]

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

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3 years ago
Relationship B has a lesser rate than Relationship A. This graph represents Relationship A.Which equations could represent Relat
Black_prince [1.1K]
<h3>Answer:</h3>
  • y = x
  • y = (3/2)x
<h3>Explanation:</h3>

The rate shown in your graph is 3. (rise:run = 3:1) An equation with a lesser rate will have an x-coefficient that is less than 3. The x-coefficients in your answer choices appear to be ...

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nadya68 [22]

<em>The question doesn't ask anything in particular, I will show the set of inequalities defined in the problem.</em>

Answer:

<em>System of inequalities:</em>

6c+4t\leq 300

c>0\\t > 0\\c+t\geq 60

Step-by-step explanation:

<u>Inequalities </u>

The express relations between expressions with a sign other than the equal sign. Common relationals are 'less than', 'greater than', 'not equal to', and many others.

The gardening club at school has 300 square feet of planting beds to plant cucumber and tomato. Each cucumber plant requires 6 square feet of growing space and each tomato plant requires 4 square feet of growing space. We know the total area cannot exceed 300 square feet, so

6c+4t\leq 300

Being c and t the number of cucumber and tomato plants respectively.

We also know the students want to plant some of each type of plant and have at least 60 plants. This lead us to more conditions

c>0\\t > 0\\c+t\geq 60

<em>Note: The set of inequalities shown is not enough to uniquely solve the problem. We need something to maximize or minimize to optimize c and t</em>

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