All categories

3 years ago

Find a polynomial, which, when added to the polynomial 5x2–3x–9, is equivalent to: x2−5x+6

Mathematics

1 answer:

Bess [88]3 years ago

3 0

The required polynomial is: $-4x^2-2x+15$

Step-by-step explanation:

Let P be the polynomial that has to be found

Given

One polynomial = $5x^2-3x-9$

Sum of both polynomials = $x^2-5x+6$

So,

$(5x^2-3x-9) + P = x^2-5x+6\\P = x^2-5x+6 - (5x^2-3x-9)\\P = x^2-5x+6-5x^2+3x+9\\P = x^2-5x^2-5x+3x+6+9\\P = -4x^2-2x+15$

Hence,

The required polynomial is: $-4x^2-2x+15$

Keywords: Polynomials, expressions

Learn more about polynomials at:

#LearnwithBrainly

You might be interested in

In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

Help pls I really need this

Varvara68 [4.7K]

Answer:

{2 , 4} is the answer of this question.

7 0

3 years ago

A medical devices company wants to know the number of hours its MRI machines are used per day. A previous study found a standard

4vir4ik [10]

The company has to study 199 machines.

In statistics, the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.

It is given that;

Margin of error E = 0.7

Confidence interval 98% = 1-0.98 = 0.02

Standard deviation = 6 hours

Number of MRI machines needed per day n, = [(z alpha/2 * SD)/E]²

Z alpha/2 = 1.645 at alpha = 0.1

Inputting these values into n we have that

[(1.645*6)/0.7]²

= 14.1²

= 198.81 is approximately equal to 199

The company has to study 199 machines.

To know more about standard deviation visit: brainly.com/question/475676

8 0

1 year ago

4 / 3 is equal to 12 / k<br> What does k equal?

Natali5045456 [20]

Answer:

k=9

Step-by-step explanation:

4/3 = 8/6 = 12/9

8 0

3 years ago

Read 2 more answers

What is one way that authors can come up with ideas for providing context for their readers?(1 point)

nataly862011 [7]

Answer:

Brainstorming i think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers