How do you solve 2 polynomial equations?

Answers

Answer 1

The steps to solve two polynomial equations are given below.

What is polynomial?

A polynomial is a mathematical expression made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

x^2 + 4x + 7 is an illustration of a polynomial with a single indeterminate x.

Apply the Zero Factor Property to an Equation Solving.

ZERO. FACTOR, write the equation with one side equal to zero. the expression by a factor.

PROPERTY. Solve the equation by setting each factor to zero.

Check by adding substitutes to the initial equation.

Write a polynomial equation in standard form before attempting to solve it. Factor it, then set each variable factor to zero once it has reached zero. The original equations' solutions are the solutions to the resulting equations. Factoring cannot always be used to solve polynomial equations.

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Related Questions

If JKLM is a rectangle, JL=2x+5, and MK=7x+40, find MK

Answers

Answer: 5

Step-by-step explanation:

JK = MK

2x + 5 = 7x - 40

2x - 7x = -40 -5

-5x= -45

x = 9

Replacing x with 9 in MK

7(9) - 40

45 - 40

5

MK = 23

JKLM being a rectangle, the diagonals (JL and MK) are equal—therefore,

2x+5 = 7x-40
5 = 5x-40
45 = 5x
x = 9

MK = 7(9)-40
MK = 63-40
MK = 23

hurry please
An isometric transformation is applied to a trapezoid to create a parallelogram
What is the length of JK?

6 cm
7 cm
10 cm
13 cm

Answers

The answer to this question is b

In ΔXYZ, x = 5. 2 inches, y = 9. 8 inches and z=7. 1 inches. Find the measure of ∠Z to the nearest degree

Answers

The measure of ∠Z is 165 degrees to the nearest degree.

In a triangle, the measure of each angle is equal to the sum of the measures of the other two angles subtracted from 180 degrees. This is known as the Triangle Sum Theorem.

Given that x = 5.2 inches, y = 9.8 inches, and z = 7.1 inches in triangle XYZ, we can use the theorem to find the measure of angle Z.

∠Z = 180 - (x+y)

∠Z = 180 - (5.2+9.8)

∠Z = 180 - 15

∠Z = 165

So the measure of ∠Z is 165 degrees to the nearest degree.

Therefore, The measure of ∠Z is 165 degrees to the nearest degree.

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i need help pls I'm struggling .

Answers

Answer:

answer: 1/36 or 2.8%

Step-by-step explanation:

Green is the answer because probability for this will be found by doing the chances for both multiplied by each other there is a 1/6 chance of getting 5 so 1/6 x 1/6 = 1/36 so thats why green is the answer. Hope that helps!

During a football game the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Write and solve an expression that represents the situation.

Answers

An expression that describes the given situation is; Total yards = -6 - 5 and the solution is -11

How to solve basic number problems?

In mathematics, a positive number means we have a plus sign before the number which means if we have +2, it means that there has been a gain of 2 units. In a similar manner, a negative number represents a loss which means that if we have -3, it simply means there is a loss or reduction of 3.

Now, we are told that during a football game, the hawks lost 5 yards due to a penalty and lost 6 yards from a quarterback sack. Thus, using the concept of positive and negative numbers above, we can develop the total number of yards as;

Total yards = -6 - 5

Total yards = - 11 yards

This represents a loss.

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What does += mean in Python?

Answers

In Python an operator += is an assignment operator which adds the value on its right to the variable and assigns the result to the variable on its left.

We know that an operator is a symbol that represents a mathematical or logical process.

We know that in Python the operator += provides a convenient way to add a value to an existing variable and assign the new value back to the same variable.

If p += q

This means,  the variable p the left side is getting added to the value on the right side (q), and the result is then reassigned to the variable on the left.

i.e., p = p + q

+= is an assignment operator.

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35% of ____ = $3.50 find the unknown number​

Answers

Answer:

10

Step-by-step explanation:

35% of x = 3.5  To change a percent to a decimal, divide by 100%

.35x = 3.5  Divide both sides by 3.5

[tex]\frac{.35x}{.35}[/tex] = [tex]\frac{3.5}{.35}[/tex]

x = 10

Check:

.35 x 10 = 3.3.5 = 3.5

Answer:

10

Step-by-step explanation:

Let the unknown number be x.

35% of x = 3.50

35/100 * x = 3.50

35x = 3.50 * 100

35x = 350

x = 350/35

x = 10

Hence, the unknown number is 10.

Pam said the equations x/16=4 and x/4=16 have the same solution. Is she correct? Explain

Answers

well, maybe Pam has been eating the wrong chips or something, but if she's correct, that can only happen if both equations are exactly equal, are they?

[tex]\boxed{\cfrac{x}{16}=4}\implies x=(16)(4)\implies \cfrac{x}{4}=16 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{x}{4}=16\implies x=(4)(16)\implies \boxed{\cfrac{x}{16}=4}\qquad \begin{array}{llll} \textit{yeap, Pam is correct}\\ \textit{she's Da Bomb} \end{array}[/tex]

Write a proportion to find how many points x a student needs to score a on a test worth 50 points
to get a test score of 40%.

Please Help

Answers

A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.

what is proportion ?

The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value. When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.

given

test score to 50 points

test score of 40 %

= 50/100 * 40

= 20

A student needs to receive 20 out of a possible 50 points on the test in order to receive a passing grade of 40%.

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2789\36 help me psss i have to take this test lie be so fl i like right nowww pls haelp me

Answers

Answer:

77.472222 etc

Step-by-step explanation:

Can you form a triangle with side lengths 8 9 and 17?

Answers

No, you cannot form a triangle with side lengths 8, 9, and 17. The sum of any two sides of a triangle must be larger than the remaining side. 8 + 9 = 17, which is not larger than 17.

1. A triangle is a three sided polygon with three angles and three sides.

2. In order to form a triangle, the sum of any two sides of the triangle must be larger than the remaining side.

3. To test if a triangle can be formed with side lengths 8, 9, and 17, we need to add two of the sides together and see if the result is larger than the remaining side.

4. 8 + 9 = 17, which is not larger than 17, so a triangle cannot be formed with side lengths 8, 9, and 17.

5. Therefore, you cannot form a triangle with side lengths 8, 9, and 17.

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PLEASE, I NEED HELP WITH THIS QUESTION!!!!

given three consecutive odd integers, their sum is two times the third number plus 11. what are the three numbers

Answers

Answer:

7 , 5 , 9

Step-by-step explanation:

How many times larger than 2 x 10-3 is 8 x 10?

Answers

Answer:

2 × 10 - 3 = 17

8 × 10 = 80

80 - 17

= 63

How do you check if a trinomial is a perfect square trinomial?

Answers

The binomial equation can be squared to provide an expression that is a perfect square trinomial.

what is perfect square ?

Perfect squares result from squaring an integer. One such example is the number 81, which is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since it can be generated by squaring the number 12, which results in 12. 169 is a perfect square since it can be squared to produce the number 13. mathematics-specific language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the result is referred to as a square number, a perfect square, or simply "a square". Accordingly, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The binomial equation can be squared to provide an expression that is a perfect square trinomial.

If and only if a trinomial that takes the form ax 2 + bx + c satisfies the requirement b 2 = 4ac is considered to be a perfect square.

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Hiiioo! Someone please help me out!❤️:)

Answers

Answer:

bxwxh base x width x height.

Step-by-step explanation:

b=4

w=11

h=3

Help please I don’t understand

Answers

Your answer is wrong. The correct answer is J. She needs to jog another 285 yards.

3 miles is equal to 5280 yards. If she jogged so for 4,995 yards, you need to subtract 4,995 from 5280. Therefore, she needs to jog 285 more yards. Hope this helps! Good Luck!

need help asap!!! will give brainliest!!!

Answers

Answer:

27

Step-by-step explanation:

Simplify: [tex]\frac{10^4}{10^6}[/tex]

Answers

Answer:

1/100, or 0.01, or 10^-2

Step-by-step explanation:

Simplify to get 1/10^2

and evaluate to get 1/100 or some the alternative forms (see above)

Find the surface area of the prism. HELP IT DUe in 10 mins so I will mark you as brainly if you answer correctly

Answers

Answer:

answer: 740

Step-by-step explanation:

Hope that helps!

Sandy had 211 dollars to spend on 9 books. After buying them she had 13 dollars. How much did each book cost ?

Answers

Answer: $22

Step-by-step explanation:

211 - 13 = 198

198/ 9 = 22

In deer, the gene $N$ is for normal coloring and the gene $a$ is for no coloring, or albino. Any gene combination with an $N$ results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors from parents that both have the gene combination $Na$.

a. What percent of the possible gene combinations result in albino coloring?


$\%$


b. Show how you could use a polynomial to model the possible gene combinations of the offspring.


The gene combinations could be modeled by the polynomial

Answers

Using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

What is Punnett square?

The genotypes of a specific cross or breeding experiment are predicted using the Punnett square, a square diagram.

It bears Reginald C. Punnett's name, who developed the method in 1905.

Biologists use the figure to calculate the likelihood that a child will have a specific genotype.

So, there is only one gene combination that could result in albinism.

4 different gene pairings are possible.

The proportion of gene combinations that might result in albinism.

Coloring is, therefore:

Percentage = 1/4 * 100 = 25%

Therefore, using Punnett square we know that 25%of the possible gene combinations result in albino coloring.

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Correct question:

Genetics In deer, the gene N is for normal coloring and the gene a is for albino. Any gene combination with an N results in normal coloring. The Punnett square shows the possible gene combinations of an offspring and the resulting colors when both parents have the gene combination Na.

What percent of the possible gene combinations result in albino coloring?

Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
$150. The cost of rent and the expensive saws and equipment she bought add up to about $50 a chair. The wood she uses is
standard wood and the materials to make one chair cost about $30. She pays one worker to help her move the chairs into people's
home. Everytime she sells a chair, she pays this worker

$10 for the hour of work to transport the homemade chair.


What is judiyah’s profit ?

Answers

Answer:

$60

Step-by-step explanation:

Profit = revenue - total cost

cost is total expenses incurred in running the business

total cost =  cost of rent and the expensive saws and equipment + cost of wood + amount paid to worker

50 + 30 + 10 = 90

revenue is the amount earned from selling the chairs. it is equal to 150

Profit = 150 - 90 = 60

PLEASE HELP QUICK!!!

Answers

Answer:

b

Step-by-step explanation:

B is the answer .....

d(n)=-5(1/2)^n-1 what is the 3rd term in the sequence

Answers

Answer:

-1.25

Step-by-step explanation:

Better to write this as

a(n)= -5(1/2)^(n-1)

Then the 3rd term is a(3) = -5(1/2)^(3 - 1), or  a(3) = -5(1/2)^2  = -5/4 = -1.25

Answer:

-1.25

Step-by-step explanation:

thats the answer on khan

(Find the value of): 2m x 2-m

Answers

4-m is the value of this

How many terms are there in the expression 2p3 3p2 4p 7 *?

Answers

Answer: 4

Explanation:

In Algebra a term is either a single number or variable, or numbers and variables multiplied together.

Terms are separated by + or − signs, or sometimes by divide.

A store has 13 boxes of candles. There are 44
candles in a box. A box falls off the shelf, and 3
candles break. In preparation for the winter, the
store orders 88 more boxes of candles.

Answers

Answer:

145 candles

Step-by-step explanation:

Saad yearly income is rs 236000.How much income tax he paid

Answers

Saad's income tax will be N.I.L.

Here, saad's yearly income is Rs 2,36,000.

The rate of income tax on his income will be nil because,

    INCOME                                TAX RATE

0-2,50,000                                    NIL

2,50,000-5,00,000                       5%

5,00,001-10,00,000                       20%

More than 10,00,000                      30%

                          Computation of tax liability of Saad

Tax on 1st 2,36,000 = N.I.L

As his income is less than 2,50,000 no income tax shall be charged to saad's income.

Therefore, the tax liability of saad would be 0.

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What is the degree of polynomial 5x³ 4x² 7x?

Answers

The degree of polynomial in 5x³ 4x² 7x is 3, since the highest power of variable is 3.

What is degree of polynomial?

The degree of polynomials, which determines the maximum number of solutions a function could have and how frequently a function will cross the x-axis on a graph, is one of the key ideas in mathematics. Polynomials are also important because they help us understand how functions can be represented mathematically. In the equation involving polynomials, it has the highest exponential power.

In a polynomial equation, a variable's greatest power is its degree. Only the terms with variables are taken into consideration when calculating a polynomial function's degree. The polynomials degree can be determined by looking at the variable term's highest exponential power.

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If star a is closer to us than star b, then star a's stellar parallax is __________.
O Larger than that of star B
O Larger than that of star A
O Smaller than that of star B
O Smaller than that of star A

Answers

If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.

Hence, option (A) is correct choice.

The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.

The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).

The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.

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Other Questions
If you get the question right i will give brainliest (HINT ITS NOT A) normally distributed with a mean of 5 days and a standard deviation of 4 days. What is the probability that the product has a shelf life of at least 1 week and at most 2 weeks A flashlight can be made that is powered by the induced current from a magnet moving through a coil of wire. The coil and magnet are inside a plastic tube that can be shaken causing the magnet to move back and forth through the coil. Assume the magnet has a maximum field strength of 0.05 T. Assume that the radius of the coil is 1.5 cm and the magnet is shaken with a frequency of about two shakes per second. Specify the the number of turns necessary to light a standard 1-watt, 3-V flashlight bulb. Observe the following protists below. Which statement best compares how a euglena and paramecium obtain food?Both the euglena and paramecium use flagella to obtain food.The euglena uses photosynthesis to make its own food and the paramecium uses cilia to sweep food into its oral groove.The paramecium uses photosynthesis to make its own food and the euglena uses cilia to sweep food into it's oral groove.The paramecium uses a pseudopod to obtain food while the euglena uses cilia. You are given that $x$ is directly proportional to $y^3$, and $y$ is inversely proportional to $\sqrt{z}$. If the value of $x$ is 3 when $z$ is $12$, what is the value of $x$ when $z$ is equal to $75$ I NEED HELP THIS IS DUE TOMORROW!!! The quotient of x and 4 is at least 26 which of the following changes will increase the period of an oscillating spring mass system? a. an increase in the mass on the spring. b. an increase in the initial displacement of the spring. c. an increase in the spring constant. d. more than one of the above. e. none of the above. explain your answer. NO LINKS. cCommon causes of syncope in older patients include all of the following, EXCEPT: A) venous pooling. B) vasoconstriction. C) acute hypotension. Checkpoint 4 is -117 and checkpoint 3 is -212 how much higher is checkpoint 4 than 3 Help me please EC Writing-List 10 things you want to do in your lifetime. For each item you list, you will receive three points for listing the item, and another two points for writing a brief description/explanation. So if you list 10 items with a description/explanation, you will receive 50 bonus points. Josiah bought a new car for $25,000. He did some research and found that the value of his car would depreciate at an average rate of $3,750 per year. The table shows data about the value of his car over the next 4 years. Number of Years Owned 1 2 3 4 Car Value $ 25000 21250 13750 10000 Express the relation as a set of ordered pairs. Identify the domain and range of this relation. Is this relation a function? Burning coal yields about 30 X 106 J of energy per kilogram of coal burned. Assuming that the coal power plant is 30% efficient, how much coal has to be burned to light that light bulb for one day What was Irelands name during Columbuss time? does leave as the whole percentage mean if it was 5.4% you would have it as 5% Select the most precise verb to complete the sentence.Before we could try the zip line, the instructor Choose... '' wait a second? '' wait a second! ''wait a second. that we listen carefully to the safety rules. help me please please ill do anything Which equation is the standard form of Y = 7/10x + 5 answer quickkk D t-60 0-56 10-24 90-20 100-8 1300 150Choose the correct statement.Select one:a.The function is D(t)=52t150b.The function is D(t)=25t150c.The function is D(t)=52t60d.The function is D(t)=25t60 Why is it important to determine the truthfulness and accuracy of a material or information?