NEED HELP PLEASE ANSWER ASAP! (41)

NEED HELP PLEASE ANSWER ASAP! (41)

Answers

Answer 1

Answer:

   41. (2) x² - 3x - 4 =0

Step-by-step explanation:

Question 41

Standard form of polynomial

x² - (sum of roots) + product of roots = 0(2) x² - 3x - 4 =0
Answer 2

Answer:

(2)  [tex]x^2-3x-4=0[/tex]

Step-by-step explanation:

Standard form of a quadratic equation:  [tex]ax^2+bx+c=0[/tex]

When factoring a quadratic (finding the roots) we find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers.

So if the roots sum to 3 and multiply to -4, then the two numbers would be 4 and -1.

[tex]\implies b=1+-4=-3[/tex]

[tex]\implies ac=1 \cdot -4[/tex]

As there the leading coefficient is 1, [tex]c=-4[/tex].  

Therefore, the equation would be:  [tex]x^2-3x-4=0[/tex]

Proof

Factor  [tex]x^2-3x-4=0[/tex]

Find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

The two numbers that multiply to -4 and sum to -3 are:  -4 and 1.

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2-4x+x-4=0[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies x(x-4)+1(x-4)=0[/tex]

Factor out the common term  [tex](x-4)[/tex]:

[tex]\implies (x+1)(x-4)=0[/tex]

Therefore, the roots are:  

[tex](x+1)=0 \implies x=-1[/tex]

[tex](x-4)=0 \implies x=4[/tex]

So the sum of the roots is:  -1 + 4 = 3

And the product of the roots is:  -1 × 4 = -4

Thereby proving that  [tex]x^2-3x-4=0[/tex]  has roots whose sum is 3 and whose product is -4.


Related Questions

A bag contains 3 red and 5 green sweets.
Tim takes a sweet at random and eats it.
He then takes another sweet.

Find the probability that Tim takes 2 red sweets

Answers

Answer:

1/7

make sure to remember to remove a sweet when you take the second one, as it has been eaten.

HELP PLEASE!!
5⁸/5³=

a. 5^-5
b. 1¹¹
c. 5⁵
d. 5 ¹¹​

Answers

I think c if it’s not right lmk

Answer:

C

Step-by-step explanation:

[tex] \frac{ {5}^{8} }{ {5}^{3} } \\ [/tex]

Now you may reduce the fraction

[tex] = {5}^{5} [/tex]

Solve for d -6 = d/3

Answers

Answer:

-18

Step-by-step explanation:

The answer is that D=9

Mark brainlist to whoever answers first

Answers

Answer:

The reflection over the y-axis means that we just multiply the x-value of the coordinates by -1.  So we take (4, 0) and get the x-value of 4 and multiply it by -1 which gives us (-4, 0) which is option C.

PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!

Answers

Answer:

35.9 degrees

Step-by-step explanation:

the arctan of 0.724 is 35.9 degrees

Using the image above, what is the measure of Angle L? Round to the nearest hundredth

Answers

Answer:

you can approximate it to 61°

kite EFGH is graphed on the coordinate plane. three of its verticies are E(1,6), F(3,5), and G(4,-3). what are the coordinates of the fourth vertex, H?

Answers

The coordinates of the fourth vertex, H is; (-6.056, 7.302)

How to find the Coordinates of a Kite?

A kite has 4 sides and we know that a pair of diagonally opposite angles of a kite are said to be congruent.

We are given the coordinates of its' vertices as;

E(1,6), F(3,5), and G(4,-3).

The two diagonals are perpendicular;

Slope of EG = (-3 - 6)/(4 - 1)

Slope of EG = -9/5

Equation of line passing through G is;

y = mx + c

-3 = -9/5(4) + c

-15 = -36 + 15c

c = 51/15 = 17/5

y = (-9/5)x + 17/5    ------(1)

Equation of line passing through F is;

y = mx + c

6 = (5/9)(1) + c

54 = -9 + 9c

c = 7

y = (5/9)x + 7   -----(2)

Solving eq 1 and eq 2 simultaneously gives;

x = -1.528 and y = 6.151

If (a, b) are coordinates of vertex H, then;

(a + 3)/2 = -1.528 and (b + 5)/2 = 6.151

Thus;

a = -6.056 and b = 7.302

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please help me on this you will get alot of point and brainliest

Answers

Answer:

0.8 miles

Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Airport to Arcadia is one leg of right triangle = x

Airport to Stafford is leg2 of right triangle  = 7.6

9.2 miles is hypotenuse of right triangle

Pythagorean theorem:

x^2 + 7.6^2 = 9.2^2

x = ~ 5.2 miles

Solve:

2x-1/x+4 is greater than or equal to 0

Answers

The solution range of the given inequality is  (-∞, -4.121) and (0.121,∞)

How to solve the inequality?

Here we want to solve:

[tex]2x - 1/(x + 4) \geq 0[/tex]

To solve this, we multiply both sides by (x + 4) so we get:

[tex]2x*(x + 4) - 1 \geq 0\\\\2x^2 + 8x - 1 \geq 0[/tex]

Now we can solve it graphically, below we have:

There we can see that the solution range is (-∞, -4.121) and (0.121,∞), the regions where the graph is equal or above the horizontal axis.

If you want to learn more about inequalities:

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PLS HELP ME I ONLY HAVE # HOURS TO COMPLETE I WILL MARK THE BRAINLIEST!!!

Answers

triangle on right is the same as the triangle on the left

use pythagorean theorem

hypotenuse will give to the sides of the rectangle

a^2 + b^2 = hypotenuse squared

10.4^2 = 108.16

15.3^2 = 234.09

342.25 = hypotenuse squared

take the square root in both sides

hypotenuse = the square root of 342.25 =

18.5

add up the areas of the 2 triangles and rectangle

triangle area is 1/2 times 10.4 times 15.3 =

79.56

2 triangles areas are 159.12

rectangle area is 18.5 × 7 = 129.5

159.12 + 129.5 = 288.62

answer 1 = 288.62

second question:

to get 1 side take the

square root of 702.25 which is

26.5

to get the perimeter

multiply 26.5 by 4 which is

106

answer 2 is choice B 106

A 10% increase in cigarette prices has been found to result in a _____ decrease of smokers. a. 2% b. 4% c. 10% d. 20% please select the best answer from the choices provided. a b c d

Answers

A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

What is the effect of price increase in the demand for cigarettes?

An increase in cigarette price will result in a decrease in the demand for cigarettes.

Since more money needs to be spent to but the same product, less consumers can be able to afford it.

Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

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Sarah is selling brackets and earrings to make money for summer vacation. She earns $2 from each bracket and $3 from each pair of earrings. She needs to make at least $210 what possible combination of brackets and earrings that Sarah can sell to reach her goal

Answers

Answer:

$16 dollars because I got it right

PLEASE HELP THIS IS WORTH 100 POINTS
You will not be writing a complete argumentative essay.



Topic question: Should violent video games be banned?

Instructions: You will organize an argument for banning violence from teens’ video games because violent video games are harmful. Read the evidence below and then organize your argument. (Copy and paste the outline below into the feedback box and add your information.)



Argument Organizer



Claim:
In your own words

Reason 1:
In your own words

Support for Reason 1:
Quote from the evidence below

Reason 2:
In your own words

Support for Reason 2:
Quote from the evidence below

Counterclaim:
What is the opposing point of view

Rebuttal Support:
Quote from the evidence below

Conclusion Clincher:
Negative effects that will occur if your readers do not follow your claim
____________________________________
EVIDENCE 1



Negative Effects of Violent Video Games



In studies conducted by neuroscientists, it was found that teens who regularly play violent video games have lower rates of success in school than teens who do not play violent video games. The same parents who ban violent televisions shows from being watched in their homes must also be careful about the types of video games their teens play. Teens love their games, but their future is at stake.

____________________________________
EVIDENCE 2



Negative Effects of Violent Video Games



Fights among best friends and disagreements with peers are a natural part of a teen's daily life, but studies have consistently shown that teens who play violent video games on a regular basis are more aggressive with peers than teens who do not play these games. Is society willing to ban these violent games to support teen relationships?

Excerpt from "Adolescent Health Sociology Journal
____________________________________
EVIDENCE 3



Negative Effects of Violent Video Games



A study conducted by teen psychologists found that teens who regularly play violent video games are more prone to having fights and confrontations with adults at home, school and work. Teens want the freedom to play games of their choice, but they need to be aware of the dangers.

Study by Anderson, Gentile and Buckley (2007)

Answers

Answer:

No

Step-by-step explanation:

Violent video games should not be ban because violent video games improve your skills, there is less violence, and banning violent video games is against the fourteenth amendment. Violent video games strengthens and coordinate visual skills.

Some ideas!

Answer:

hey

Step-by-step explanation:

The triangular prism below has a base area of 31 units^2

and a volume of 310 units^3

Find its height.

Answers

Given:[tex] A_{B} = 31 \: {units}^{2} [/tex][tex]V = 310 \: {units}^{2} [/tex]To find:

The height of the given triangular prism.

Solution:

[tex]h = \frac{V}{ A_{B}}[/tex]

[tex]h = \frac{310}{31} [/tex]

[tex]\large\boxed{\sf{h=10 \: units}}[/tex]

Therefore, the height of the given triangular prism is 10 units.

h= 310/31

h= 10 units

hope this helps


What additional information do you need to prove the triangles are congruent by SAS

Answers

Answer:

Step-by-step explanation:

What is text structure in non-fiction?
A.the table of contents
B.how the text is organized
C.illustrations and captions
D.the glossary

Answers

B.) How the text is organized.

Answer:

B. because of the structure in a non fiction would be how the text is organized and words that are used

Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00.She budgets $25.50 per month for her total cell phone expenses without taxes.
What's the maximum number of minutes Paige could use her phone each month and still stay within her budget?
A. 675
B.425
C. 250
D.175

Answers

The answer is 175 explanation: 25.50 -15 =10.5 divided by 0.06 = 175
D. Is the correct answer because minus the 15 from the 25.50 you get how much is left then decide that by 0.06 and you get the answer x

Solve the equation using square roots: x2 -81=0

Answers

Hi Student!

This question is pretty straight-forward because it is asking for us to solve to equation using square roots.  We don't need to find any important information as this problem is pretty simple.  We just need to use some algebra to move numbers around and we will get our answer.

Add 81 to both sides

[tex]x^2 - 81 = 0[/tex][tex]x^2 - 81 + 81 = 0 + 81[/tex][tex]x^2 = 81[/tex]

Square root both sides

[tex]\sqrt{x^2} = \sqrt{81}[/tex][tex]x = \pm9[/tex]

Therefore, after solving for x we were able to determine that the solutions that we have for this equation are both 9 and -9.  If we want to test this we can plug in the values into x and we would see that both 9 and -9 would produce the same results as negatives don't matter when we are squaring numbers.

There are 27 animals in the barn. Some are geese and some are horses. There are 90 legs in all. How many of each animal are there

Answers

Answer:

There are 9 geese and 18 horses.

Step-by-step explanation:

Step 1: Make equations.

g ... number of geese

h ... number of horses

First equation: There are 27 animals in the barn.

g + h = 27

Second equation: There are 90 legs in all.

We know geese have two legs and horses 4.

2g + 4h = 90

Step 2: Solve the system of equations.

g + h = 27 (first equation)

2g + 4h = 90 (second equation)

Let's express g in terms of h in first equation.

g + h = 27

g = 27 - h

Now let's substitute g in second equation with g in first equation.

2g + 4h = 90

2(27 - h) + 4h = 90

And solve for h.

54 - 2h + 4h = 90

54 + 2h = 90

2h = 90 - 54

2h = 36

h = 18

Let's substitute the value of h back to first equation to get g.

g = 27 - h

g = 27 - 18

g = 9

5x
4x
What is the value of x? (3 ponts)
_/3

Answers

Step-by-step explanation:

I assume the 2 vertical lines are parallel.

then the 2 angles 5x and 4x are around the intersection point of both lines (since parallel lines simply mimic the behavior of each other, the angles must be the same).

that means 4x is also the angle under the indicated 5x angle, and 5x is also the angle under the indicated 4x angle.

and that simply means that 5x and 4x supplement each other to 180° (as all angles around a single point on one side of a line represent a half-circle and therefore 180°).

so,

5x + 4x = 180

9x = 180

x = 20

If f(x) = 5x, what is ƒ¹ (x)?

Answers

Answer:

15,625

Step-by-step explanation:

If f(x) = 5x then f ¹ you must label all numbers in the equation to make it easier, once done you will have 25(5¹)=125¹

125x125=15,625

The inverse function of the given function is x/5.

What is inverse function?

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Given that, f(x)=5x

Now, y=5x

Replace x by y and y by x, we get

x=5y

y=x/5

and f⁻¹(x)=x/5

Therefore, the inverse function of the given function is x/5.

Learn more about the inverse function here:

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Please show me how you got this answer [tex]\sqrt{18a^2}*4\sqrt{3a^2}[/tex]

Answers

Answer:

Step-by-step explanation:

Comment

18 factors into 2 * 3 * 3

Both factors have an a^2 under the root sign. The rule for that is take 1 a outside the root sign and throw the other one away.

The same rule applies to the two 3s that factor 18.

What you get is

3a√2 * 4*a*√3

Answer 12a^2 √2 * √3

Answer: 12a^2 * √6

Simplify.
4(v-5)-7v pls help quick

Answers

Answer:

-3v-20

Step-by-step explanation:

а
The volume of a container is 576 cubic feet.
The height is 6 feet; the width is 8 feet; find
the length.

Answers

Answer: 48 feet

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Containers are generally in the shape of a rectangular prism.

Formula

Volume = Length x Width x Height576 = 8 x 6 x LengthLength = 576/48Length = 12 feet

[tex]f(n)=3^n[/tex]
find expressions for [tex]f(n+3)[/tex] and [tex]f(n+1)[/tex]
hence find the value of [tex]k[/tex] such that [tex]f(n+3)-f(n+1)= kf(n)[/tex] where k ∈ N

Answers

Answer:

[tex]24(f(n))[/tex]

Step-by-step explanation:

[tex]f(n+3) = 3^{n+3}\\f(n+1) = 3^{n+1}[/tex]

so

[tex]f(n+3) - f(n+1) = 3^{n+3} - 3^{n+1}[/tex]

[tex]= 27(3^n) - 3(3^n)[/tex]

[tex]= 24(3^n)[/tex]

[tex]= 24(f(n))[/tex]

hope this helped! :)

Sela is making 400 scones.
she use butter ,sugar and flour in the ratio 2:1:9
here the cost of those ingredients
butter-2.50 per 500g
sugar-1.60 per kilogram
flour-60p per 1.5kg
the total mass of the butter ,sugar and flour in each scone is 30g
work out the total cost of these ingredients for the 400
scones

Answers

Answer:

£15.20

Step-by-step explanation:

butter : sugar : flour = 2 : 1 : 9

Total mass for 1 recipe = 30 g

2 + 1 + 9 = 12

12x = 30

x = 30/12

x = 2.5

For 1 scone:

butter = 2x = 2(2.5) g = 5 g

sugar = x = 2.5 g

flour = 9x = 9(2.5) g = 22.5 g

Cost for 1 scone:

butter: 5 g × £2.50/(500 g) = £0.025

sugar: 2.5 g × £1.60/(1000 g) = £0.004

flour: 22.5 g × £0.6/(1500 g) = £0.009

Cost for 1 recipe = £0.025 + £0.004 + £0.009 = £0.038

Cost for 400 scones = 400 × £0.038 = £15.20

Answer: £15.20

A bag contains 9 marbles: 2 are green, 3 are red, and 4 are blue. Raina chooses a marble at random, and without putting it back, chooses another one at random. What is the probability that both marbles she chooses are red? Write your answel as a fraction in simplest form.

Answers

Answer:   1/12

=========================================================

Explanation:

There are 3 red out of 9 total

The probability of picking red at random is 3/9 = 1/3

If the first marble is not put back, then the chances of picking red again are now 2/8 = 1/4

Notice how I subtracted 1 from the numerator and denominator of 3/9 to get to 2/8. This is because the red count and the total count both go down by 1 each.

Now multiply the fractions mentioned:

(3/9)*(2/8) = (1/3)*(1/4) = (1*1)/(3*4) = 1/12

If you did this trial 12 times, then you should expect to get two reds about once. That's one way to interpret the probability of 1/12.

Side note: 1/12 = 0.0833 = 8.33% approximately

If m<1 = 40 degrees , what is m<2 m<3 and m<5

Answers

Answer & step-by-step explanation:

Corresponding Angles:   m∠1 = m∠5;  m∠2 = m∠6;

                                          m∠3 = m∠7;  m∠4 = m∠8

Alternate Interior Angles: m∠3 = m∠6;  m∠4 = m∠5

Alternate Exterior Angles: m∠1 = m∠8;  m∠2 = m∠7

As you can see on the picture below:

Determine why the triangles are congruent. Choose from SSS, SAS, ASA, AAS, and HL. If the triangles are not congruent type NC.(Use all capitals in your answer)

Answers

Answer:

Step-by-step explanation:

simplify PLEASE HELP ASAP

Answers

Answer:

[tex]0 < x < 6[/tex]

Step-by-step explanation:

This question asks to solve an inequality which can be written as:

[tex]\sqrt{x^2-6x+9} < 3[/tex]

Solve for x:

[tex]\sqrt{x^2-6x+9} < 3\\x^2-6x+9 < 9\\x^2-6x < 0\\x(x-6) < 0[/tex]

From here we can deduce that the inequality is [tex]0[/tex] when:

[tex]x = 0[/tex] or [tex]x = 6[/tex]

We can write the solution as:

[tex]0 < x < 6[/tex]

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 3x - 3x+ 9 } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{}(x - 3) - 3(x - 3) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 3)(x - 3) } [/tex]

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ (x - 3) {}^{2} } [/tex]

[tex]\qquad \sf  \dashrightarrow \: { (x - 3) {}^{} } [/tex]

Now, we have been given that value of x :

[tex]\qquad \sf  \dashrightarrow \:x < 3[/tex]

So, let's plug the value of x as 3 in the given expression ~

[tex]\qquad \sf  \dashrightarrow \:3 - 3[/tex]

[tex]\qquad \sf  \dashrightarrow \:0[/tex]

Therefore, we can conclude that :

[tex]\qquad \sf  \dashrightarrow \: \sqrt{ {x}^{2} - 6x + 9 } < 0[/tex]

Value of the expression should be less than 0

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What is the asymptotes of the graph. This data gives the average number of hours different students spend on the computer each day. average time (h): 1.6, 2.0, 2.0, 2.0, 1.8, 1.8, 1.5, 2.0, 1.9, 1.6, 1.9, 1.7, 1.6, 1.6, 2.0, 1.8, 1.5, 2.0 create a line plot to display this data. to create a line plot, hover over each number on the number line. then click and drag up to plot the data. students weekly computer time 1.5 1.6 1.7 1.8 1.9 2.0 average time (h) 0 1 2 3 4 5 6 7 8 y label balance following equation H2 + _02 _H20 What are compounds?O heterogeneous mixturesO pure substancesO homogeneous mixtures In an orchard, there are 17 apple trees, 30 orange trees, and a cherry tree. what is the ratio of orange trees to cherry trees? a. 17:30 b. 47:30 c. 30:1 d. 1:30 A textbook has 428 numbered pages, starting with 1.A textbook has 428 numbered pages, starting with 1. 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Why was william carlos williams considered an imagist in his early career? Is the American system of government a direct democracy? why What is the result if nucleotides pair incorrectly?a mutationcell deathchromosome duplicationa new type of gene Read the passage.Ocean NoiseWhen we think about the pollution of our oceans, many of us think of oil spills that dirty the waters and harm a variety of ocean life. Or, we might think of people in boats who litter the waters with their trash. After all, how many times in the news do we hear about ships that leak dangerous chemicals into the water? What we may not realize, though, is that there is another danger that is just as harmful to ocean life as any chemical or other dangerous material: ocean noise.Many of us think of the oceans as silent places. On the contrary, they are filled with a variety of sounds. On any given day, one might hear the calls of dolphins as they swim through the waters. Whales use sounds to keep track of each other. Sea lions talk to each other to find food. Even the tiniest of shrimp make a snapping sound. There are also sounds caused by wind or rain upon the waters. Sound also plays an important role in the daily life of various ocean animals, many of which depend upon their sharp sound detection skills to survive. With increased activities by people on many of the oceans waters, the noise has increased so much that it is beginning to cause damage to the oceans as well as to the animals that live in them.Ocean noise is the term used to describe the human-made noise occurring at increasing rates in the ocean. The noise comes from many different sources: large ships, small boats with motors, and jet skis, among others. There are also underwater exploration activities such as mining, as well as radar activities of ships. One of the most harmful types of ocean noise occurs with offshore oil drilling and seismic oil explorations. Air guns are instruments that are used to determine the location of oil and natural gas beneath the sea floor. They make a sound that can damage the hearing of ocean animals.We know that sound travels faster in water than it does in air. This means that sounds in the oceans can travel for many, many miles in a short period of time. Unfortunately, sounds made by people are much louder than sounds made by ocean animals.What this means is that sounds caused by noisy engines or radar equipment used by ships can upset the everyday activities of the creatures that live in the ocean. For instance, humpback whales use songs to talk to each other. Scientists have discovered that the whales system of talking can be disturbed by loud noises. This makes it harder for the whales to find each other. The stranding of whales and dolphins has been found to increase immediately after naval sonar maneuvers. Sea lions are another type of animal that depends on sounds to communicate with other sea lions. Ocean noise can make it difficult for them to find food. Ocean noise can disturb migration routes of whales and other animals that travel to different places.However, scientists and other researchers are working hard to find a solution to this threat to marine life. Since 2003, the use of low-frequency active (LFA) sonar equipment by the United States Navy has been tightly limited because its effects have been shown to cause harm to many ocean animals. NOAA (National Oceanic and Atmospheric Administration) has released a plan to reduce ocean noise that will work better than past attempts to reduce the noise.Other people are helping as well. Some fishing companies use special equipment that makes a pinging sound to keep certain kinds of ocean life from getting caught in its fishing nets. The National Park Service completed a study that tracked tour cruise ships and made an effort to reduce the number of tours. They also tried to increase the quiet time for humpback whales by scheduling tours farther apart.Local conservation groups are also asking people to be more careful about using jet skis, motorboats, and other equipment that might disturb areas where ocean life is particularly fragile. Also, closer attention is being paid to where ships are traveling to make sure that, whenever possible, they stay away from waters where large numbers of ocean animals live.With the increase in ocean noise, measures must be taken to control or, at the very least, curb its growth.What argument does the author make in "Ocean Noise"?Marine animals contribute more to noise pollution in the ocean than humans.A reduction in noise pollution will do little to help marine life.Progress in noise reduction has been stalled by the use of sonar equipment.People must take immediate action to reduce ocean noise pollution to help marine life. Do you agree or disagree with the theories about the permian-triassic extinction? use facts from this unit to support your opinion. A swimming pool in a certain resort is enjoyed by people because it has a floor measurement of 8 ft by 12 ft and a depth of 9 ft. How much water can it contain?