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CaHeK987 [17]
3 years ago
10

Write two polynomial functions whose quotient will be the same degree as the divisor?

Mathematics
1 answer:
avanturin [10]3 years ago
8 0

Answer:

f(x) =  15x^2 -14x - 8

g(x) = 5x + 2

Step-by-step explanation:

<em>Represent the two polynomials with f(x) and g(x)</em>

<em>The question requires that we assume values for f(x) and g(x) as long as the condition in the question is met;</em>

Let

f(x) =  15x^2 -14x - 8

g(x) = 5x + 2

To determine if the condition is met, we need to divide f(x) by g(x)

\frac{f(x)}{g(x)} = \frac{15x^2 -14x - 8}{5x + 2}

Factorize the numerator

\frac{f(x)}{g(x)} = \frac{15x^2 - 20x + 6x - 8}{5x + 2}

\frac{f(x)}{g(x)} = \frac{(5x + 2)(3x - 4)}{5x + 2}

Cross out 5x + 2

\frac{f(x)}{g(x)} = 3x - 4

The result is referred to as quotient, Q

Q = 3x - 4

<em>Note that Q and g(x) have the same degree of 1</em>

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What is the weight, in Newtons, of a person on Earth whose mass is 90 kilograms? Gravity near the Earth's surface is 9.8 m/s2.
valentinak56 [21]

Answer:

W = 882 N

Step-by-step explanation:

Given that,

The weight of a person, W = 90 kg

The value of acceleration due to gravity, g = 9.8 m/s²

We need to find the weight of the person on Earth. The formula for the weight of an object is given by :

W = mg

Substitute all the values,

W = 90 kg × 9.8 m/s²

W = 882 N

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8 0
3 years ago
Two statements are given-one labeled Assertion (A) and the other labeled Reason(R). Select the correct answer to these questions
pentagon [3]

Answer:  i) Both A and R are true and R is the correct explanation of the assertion

Step-by-step explanation:

When Calcium Oxide (Quick lime) reacts with water, it is a very rigorous reaction that produces a lot of heat and may even boil the water or burn the skin if it comes into contact with it. The resulting compound is Calcium Hydroxide. The Assertion is therefore true.

A Combination reaction does indeed result in only a single product being created or formed after a reaction. The above reaction is indeed a Combination reaction due to the production of only one Compound being Calcium Hydroxide.

6 0
4 years ago
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
irga5000 [103]

Answer: thier salaries are $5000 and $5500

Step-by-step explanation:

Let the average weekly salary of one employee be =x

And that of the other employee be = x+500

Such that if thier average of their salaries= $5250

So, their total salary=  $5250 x 2=10,500

The  equation  to solve each employee salary becomes

x+x+500=10,500

2x+500=10,500

2x=10,500-500

2x=10,000

x=10,000 /2

x= first employee salary =$5000

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3 years ago
Need help with Writeing the quadratic function with at two zero where x = ‒2 and x = 0.
Pachacha [2.7K]
We can create the equation like this:
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8 0
3 years ago
What are two expressions that are equivalent to 6(5j + 2 + j)?<br><br><br><br>​
ziro4ka [17]

Answer:

1. 30j+12+6j

2. 36j+12

3. 6(6j+2)

Step-by-step explanation:

1. You just multiply so... 6x5j ... 6x2 ... 6xj

2. you multiply and then simplify so first you have 30j+12+6j, so you add like terms so... 30j+6j= 36j and then +12

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5 0
4 years ago
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