Find the roots for y = (2x-3)(x+5) (The x values)

Answers

Answer 1

Answer:

x = [tex]\frac{3}{2} , -5[/tex]

Step-by-step explanation:

We know that we have to find the roots of the equation - which is another way of saying the x-intercepts, or the points that are on the x-axis that the graph passes through. All points on the x-axis have a y-value of 0. So, in order to find the roots for this equation, we need to find which values of x make the y equal 0.

The equation has already been factored out. So, we just need to find which values of x for each of the expressions in the parentheses will make the result 0. To do this, set the expressions in the parentheses to 0 and isolate x.

1) First, let's look at (2x-3). Write the equation 2x-3 = 0. Then, isolate x:

[tex]2x-3 = 0\\2x = 3\\x = \frac{3}{2}[/tex]

Therefore, [tex]\frac{3}{2}[/tex] is one of the roots.

2) Next, let's look at (x+5). Write the equation x+5 = 0. Then, isolate x:

[tex]x+5 = 0\\x = -5[/tex]

Therefore, -5 is a root as well.

The roots of the equation would be [tex]\frac{3}{2}[/tex] and -5.


Related Questions

*
6. Determine the Rate of Change in the graph below.

Answers

Answer: slope is 1/2

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Using the equation slope = y2-y1/x2-x1 we can plug in (-4,-6) as x1 and y1 and (6,-1) as x2 and y2. We than have the equation -1+6/6+4 = slope, doing the math we now have 5/10 or 1/2 which is our rate of change

Which of the following equations is true for ATUX? I u A X t e tan X = O cos X = O sin X =23 O Sin X =​

Answers

Answer:

second is a answer cos X= x/i

Answer:

Step-by-step explanation:

sin X = x / u

NOT THE PREVIOUS ANSWER

HEY! HELP PLEASE, ASAP!! THANKS SO MUCH!!!! ​

Answers

Answer: I think its b

Step-by-step explanation:

The gas tank in my car is 5/6 full . Each time I drive it to or from work I use 1/12 of a full tank of gas . Which equation represents the number of times I can drive to or from work with the gas in my tank

Answers

Answer:

5/6 = 1/12x

Step-by-step explanation:

x represents the amount of times you can can drive to or from work with the gas in the tank

5/6 = 1/12x

- Multiply both sides of equation by 12

10 = x

Deshawn earned $48 raking leaves last October. He decided to save 38 of his money. How much money did Deshawn save?

Answers

Answer:  I don't know i'm taking a benchmark about that question an that pop up

Step-by-step explanation:

Answer:

Step-by-step explanation:

Therefore, you would multiply 48/1 * 3/8 and that will give you your answer. 48/1 * 3/8 = 144/8, which is 144 divided 8. And that comes out to be 18, so Deshanwn saved $18.

Hope this helps

Simplify the following expression:
9^−53 ⋅ 9^37
Please also explain your answer. Thanks!

Answers

Answer:

Simplify the expression.

Exact Form:

1 /1853020188851840

Decimal Form:

5.39659527  x 10  −  16

Step-by-step explanation:

please help me figure out this outfit

Answers

It would be 25% left

Ralph has 25% left of his Gatorade.

3 ÷ 12 = 0.25 -->  25%

Let the x and y represent the tens digit and ones digit of a two digit number respectively. The sum of the digits of a two-digit number is 9. If the digits are reversed, the new number is 27 more than the original number. What is the original number?

Answers

Answer:  

The Original Number is 36 :)

explanation:

Six students share 8 granola bars equally. How many granola bars does each student get?

Answers

Answer:

1 whole one and a third of one.

Step-by-step explanation:

1 1/3 of a granola bar

Answer: 1.33333333333 or 1.3 as a repeating decimal

Just divide 8 ÷ 6

Find the distance between points P(6, 2) and Q(5, 9) to the nearest tenth.

Answers

Answer:

[tex]d = 10[/tex]

Step-by-step explanation:

Distance formula

[tex]d =\sqrt{(x_2-x_1)^{2} + (y_2-y_1)^{2} }[/tex]        ------------ (1)

Here

[tex](x_1, y_1) = (6, 2) \ \ \ and \ \ \ (x_2, y_2) = (5, 9)[/tex]

Substituting values in equation (1)

[tex]d =\sqrt{(5-6)^{2} + (9-2)^{2} }[/tex]

[tex]d =\sqrt{(-1)^{2} + (7)^{2} }[/tex]

[tex]d = \sqrt { 50 }[/tex]

[tex]d=7.07[/tex]

the nearest tenth is 10

A super clearance sale, bathing suits were marked 85% off. What is the sale price of a bathing suit that was originally priced $60 ?

Answers

Answer: 9$
Explanation: 15% is how much a person will pay and 15% of 60 is 9$

What are the roots of the equation 5x^2=-17x-165x in simplest a+bi form?

Answers

Bdbdhd Snsnsn d d d did dbdbdbd

If the diameter of a circle is 80m, then what is the radius of the circle

Answers

Answer:

40m

Step-by-step explanation:

Radius is half of diameter

HELP NEEDED ASAP!!!!!

Which point IS a solution?
A: (0,6)
B: (-3,4)
C: (1,0)
D: (-4,3)

Answers

Answer: (-3, 4)

Step-by-step explanation:

The point at which both lines intersect is (-3, 4)

And since they intersect at ONE point, it just has one solution.

Hope I helped!

Val is in a race that has a 2 10-mile swim and a 26 10-mile run. How far does Val
swim and run altogether?
28 miles
28 miles
28 miles
29 miles

Answers

Step-by-step explanation:

bdhdhjndnfdndnnskdkdkskdkdkd

3x^3-21x^2-54x multiplicity

Answers

Answer:

3x (x+2) (x−9)

(factored)

hope this helps :D

What is the answer in a whole number or decimal

Answers

Answer:

i = 8

Step-by-step explanation:

1.37x = 12.741

A.14.111
B.17.45517
C.9.3
D.11.371

Answers

hey! the answer to your question is b because 1.37x12.741 is the answer 17.45517

The correct answer is C

Help pls. Rauls classmates evaluated Raul’s conjecture as to whether it was true or false and gave a reason. Which response is correct?

Answers

Num 3 is the correct answer im pretty sure. Sorry if im wrong

A table of equivalent ratios is given.

What is the missing number in the table?

Answers

Answer:

It's 30

..................

they all are equal to 1:3

so 90/3=30

answer is 30 !

Round 344,501 to the nearest ten thousand

Answers

Answer:

340,000

Step-by-step explanation:

340e3

Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures

Answers

Answer:

C. size

Step-by-step explanation:

A dilation does not change the shape of a figure, but it can change the size.

A cube is cut in to three parts by vertical slices find the volume of the shaded area The length and width of original is 20 cm and cut part is 10 cm

Answers

Answer:

4000 cm^3

Step-by-step explanation:

Note that no image was attached for reference purposes

Step one:

We are given that the original length and width of the cube is 20cm

if the cut part is 10cm

hence the dimension of the cut part is

lenght = 20cm

Width= 20cm

Hieght= 10cm

Step two:

the volume of the cut part will be

Volume= 20*20*10

Volume= 4000 cm^3

What is m Help please!

Answers

9514 1404 393

Answer:

  40°

Step-by-step explanation:

The similarity statement tells you that angles W and P have the same measure. The sum of angles in the triangle is 180°, so we have ...

  ∠R +∠W +∠T = 180°

  85° +55° +∠T = 180°

  ∠T = 180° -140°

  ∠T = 40°

Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circles touch each other

Answers

Answer:

[tex]AB=2\sqrt{ab}[/tex]

Step-by-step explanation:

From figure,

[tex]OA=a, \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)[/tex]

In triangle [tex]OO'D[/tex]

  [tex](OO')^2=(OD)^2+(O' D)^2[/tex]

[tex]\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}][/tex]

Hence, [tex]AB=2\sqrt{ab}[/tex]

Can someone Help me please

Answers

Answer:

47

Step-by-step explanation:

using exterior angle property,

23+5x-1=9x+2

→20=9x-5x

→20=4x→ x=5

angle PRS= 9X +2 = 9*5 +2= 47

please help me with these two problems thank you!!​

Answers

Answer:

1st question: y=1/3x-1

2nd question: y=-2/3x+9

Step-by-step explanation:

Y=mx+b form is what you are using

when a line in parallel to a line they have the same slop wich is m

when a line in perpendicular they have the opposite reciprocal

Examples: 2/5 opposite reciprocal would be -5/2

15 POINTS!

Please help

Thank you

Answers

Answer: 1. 2 x^3 - 13 x + 15

              2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x

Step-by-step explanation:

Find the surface area of the prism (no unit)

Answers

Answer:

1464

Step-by-step explanation:

16*22*2=704

10*16*2=320

10*22*2=440

704+320+440 = 1464

*You don't have to, but I am currently trying to reach the next level, and all I need is some more brainliest answers. If you think my answer was brainly enough, you can make my answer the brainliest, but no pressure. I just help people for fun! :) Thank you, have a great day!*

*lilybaker49's work was used - credit goes to her

Answer: 1464cm
Explanation: 10x22=220x2= 440cm
10x16=160x2=320cm
16x22=352x2=704cm
440+320+704=1464cm

y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )

Answers

Answer:

The answer is 5.

Step-by-step explanation:

Well if you were to graph this equation you'll see that the rise over run would be 5/1 which simplifies to 5.

Other Questions
11. The teachers at our school are all certified and it will bewill teach the classes. *A herB. themC.itD. they The difference between indirect tax and subsidy is known as:Select one:a. Net Indirect Taxb. Depreciationc. Capital consumption allowancesd. Net Factor Income from Abroad= Net Indirect Tax individuals who reflect the makeupof a group in a deomcracy A north magnetic pole is facing another north magnetic pole with a distance x. If the distance between the poles becomes 1/2x, what happens to the magnitude of the field energy between them?(1 point)The field energy will gradually dissipate until it reaches zero.The field energy will remain unchanged.The field energy will decrease.The field energy will increase. During the Congressional Reconstruction era, African Americans in Texas did all EXCEPT: a. get elected to the state legislature b. participate in a state constitutional convention c. work as part of the state police force d. serve as governor Please select the best answer from the choices provided A B C D ReadingThe Umbrella Brigade"Pitter patter!" falls the rainOn the school-room window-pane.Such a plashing! such a dashing!Will it e'er be dry again?Down the gutter rolls a flood,And the crossing's deep in mud;And the puddles! oh, the puddlesAre a sight to stir one's blood!ChorusBut let it rainTree-toads and frogs,Muskets and pitchforks,Kittens and dogs!Dash away! plash away!Who is afraid?Here we go,The Umbrella Brigade!Pull the boots up to the knee!Tie the hoods on merrily!Such a hustling! Such a jostling!Out of breath with fun are we.Clatter, clatter, down the street,Greeting every one we meet,With our laughing and our chaffing,Which the laughing drops repeat.46New Nepal English Reader - 5 What is the tallest house in Adopt Me?A. Luxury ApartmentsB.Ruler's CastleC.Hollywood HouseD.Millionaire Mansion After the video game store, Larry goes to the music store online and downloads four new songs to his phone for $3.99 each. If tax is 7%, how much does he spend in all? What are the characteristics that make people with psychopathic personality traits successful in business? In 2009 Usain Bolt set the world record for the 100 meter sprint. He ranthe track in 9.58 seconds! What was his speed? Write a story that could represent this math problem. Which pairs are like terms in the expression below? Select all that apply.y + } x-0.25 6 +(-2)Ay and { xand 1B. y andy and -0.2,C.1/3 xand-0.27D. -0.2y and 2E. -6 and -2 1x + 7 = 9x + 2 what is x Use the equation below to answer questions (14-21). C12H22O11(s) 12C(s) + 11H2O(g) 14)The left side of the chemical equations is the _______________________. 15)List the coefficients of the reactants ____________________ What type of chemical reaction is this equation? ________________________________ 16)The number 11 is called a ________________ 17)How many atoms in oxygen of the reactants ______________ 18)The right side is called the ________________ 20)List the four states of matter: ________________________________________________ 21)What are the number of atoms on the product side? harry purchased a 600$ savings bond if he has 1200 in total in the bank at the end of 10 years what was the simple interest rate Make a list of the types of waves you find you are exposed to everyday and explain why they are waves. Plz help me I have a entire test to finish in 10 minutes Read the scenario below and answer the question that follows.For history class, Ross has to write a research paper on an aspect of the 1960s. Since he loves music, Rossnarrowed down his topic to music of the 1960s. After completing some background research, Ross decidesdiscuss the ways that classic rock music mirrored the new-found freedoms within society.What type of research paper is Ross writing?A. analyticalB.argumentativeC. personal narrativeD. how-to informational manual CAN SOMEONE HELP ME PLEASE ITS DUE RIGHT NOW !!! :( Drag the tiles to the boxes to form correct pairs.Match the excerpts from the poems to the tone they express.humorousrelievedannoyedproudPretty women wonder where my secret lies.I'm not cute or built to suit a fashion model's sizeBut when I start to tell them,They think I'm telling lies.I say,It's in the reach of my armsThe span of my hips,The stride of my step,The curl of my lips.I'm a womanPhenomenally.Phenomenal woman,That's me.(Maya Angelou, Phenomenal Woman)arrowRightThank Heaven! the crisisThe danger is past,And the lingering illnessIs over at lastAnd the fever called "Living"Is conquered at last.Sadly, I knowI am shorn of my strength,And no muscle I moveAs I lie at full lengthBut no matter!I feelI am better at length.(Edgar Allan Poe, For Annie)arrowRightTweedledum and TweedledeeAgreed to have a battle;For Tweedledum said TweedledeeHad spoiled his nice new rattle.Just then flew down a monstrous crow,As black as a tar barrel;Which frightened both the heroes so,They quite forgot their quarrel.(Lewis Carroll, "Tweedledum and Tweedledee")arrowRightThere are certain thingsa spider, a ghost,The income-tax, gout, an umbrella for threeThat I hate, but the thing that I hate the mostIs a thing they call the SEA.Pour some salt water over the floorUgly I'm sure you'll allow it to be:Suppose it extended a mile or more,That's very like the SEA.(Lewis Carroll, The Sea) Does anyone know the answer to this?