100 points!
At what point(s) do these graphs intersect? y=x^2 = 3x-5
y=4x+1
Seth’s solution:
y=x^2 +3x-5
y=4x+1
x^2 =3x-5=4x+1
x^2 -x-6=0
(x-3)(x+2)=0
x=3 and x=-2
The graphs intersect at (-2,0) and (3,0).
Is Seth's solution correct? Explain.

Answers

Answer 1

Answer:

Solution is correct till finding the roots:

x = 3, x = -2

Then Seth should find the respective y- points using either equation:

y = 4*3 + 1 = 13

and

y = -2*4 + 1 = -7

Correct solution is:

(3, 13) and (-2, -7)
Answer 2

Answer:

Seth's answer is incorrect.

Step-by-step explanation:

He is correct with all of his steps until he reaches the roots... the correct roots are, y = 4(3) + 1 = 13 y = 4(-2) + 1 = -7

So the correct answer would actually be: The graphs intersect at the coordinates (3,13) and (-2,-7)


Related Questions

Whats 1+1-1x1+2
:) Have a good day

Answers

Answer: it’s 3 hope it helps

Step-by-step explanation:

Answer:

1+1-1x1+2 = 3

Step-by-step explanation: 1 plus 1 is 2, 1 x 1 is 1, so you minus the 2, and it equals 3

i need help, can someone show me how to solve it

Answers

Answer:

9

Step-by-step explanation:

Simply plug -3 in for x.

-2(-3)^2-7(-3)+6

(-3)^2=9

9*-2= -18

-7*-3=21

-18+21=3

3+6=9

Answer:

f(-3) = 9

Step-by-step explanation:

Here we have a quadratic function in x:  and we want to know the value of this function when x = -3.

Substituting -3 for x in f(x) = -2x^2 - 7x + 6, we get f(-3) = -2(-3)^2 - 7(-3) + 6, which works out to                                                    f(-3) = -2(9) + 21 + 6, or

                                                                                    f(-3) = -18 + 27 = 9

Thus, f(-3) = 9

Write an equation for the line parallel to the given line that contains C.
C(-1,5); y = 8/9x+2
*

Answers

Answer:

y = 8/9x + 53/9

Step-by-step explanation:

5 = 8/9(-1) + b

45/9 = -8/9 + b

b = 53/9

wins some money on the lottery. She uses 1/3 of her lottery win to buy a house
and she gives 1/8 of her lottery win to charity. Molly then shares the remainder of her
lottery win equally among her four children. Work out the fraction of Molly's lottery
win that each of her four children receives.

Answers

Answer:11/96

Step-by-step explanation:

1-(1/3)=2/3=14/24

(2/3)-(1/8)=(14/24)-(3/24)=11/24

11/24 divided into 4 again is 11/96


Sandeep put some business cards into a basket. Then, he drew 2 business cards out of the
basket.

Is this sample of the business cards in the basket likely to be biased?
Yes or No

Answers

It is yes . This is because it’s only some business cards and not all business cards.

A house cleaning company charges a constant rate for each hour of cleaning. They charge $135 for 3 hours of cleaning.
Number of hours cleaning
Amount charged for cleaning (in dollars)
3
$135
18


How much would the company charge for 18 hours of cleaning?

$675


$810


$2,430


$45

Answers

Answer: $810 (B)

Step-by-step explanation: first youd need to find how much they pay for 1 hour. In this case, itd be 135/3 = 45. now multiply by 18 (because 1 hr x 18 = 18 hrs). this would get you to 810.

Option b $810
135/3 = 45
45 x 18 = $810

In the expression 10-2p, 2 is the coefficient.
O True
O False

Answers

Answer:

Its true though.

Step-by-step explanation:

The coefficient is before the variable and since in 2p the 2 is before the variable it is a coefficient.

Answer:

Yes It is True.

Step-by-step explanation:

Any number before variable is a coefficient

An NHL hockey player has 59 goals so far in a season. What are the possible numbers of additional goals, g , the player can score to match or break the NHL record of 92 goals in a season? Write and solve an inequality to solve the situation described above.

Answers

It could possibly be 92-59= 33 which means 33 is the rest of the goals he’d need to match or break the record. I believe that is what it’s asking, sorry if it’s not!

I NEED HELP ASAP PLEASE NO LINKS!!!

Answers

Answer:

-31/4

Step-by-step explanation:

[tex]\frac{1}{2} ^{2}[/tex] is actually just (1/2)(1/2) and that equals 1/4

2 - (2/3) you can simplify to (6/3) - (2/3). that equals 4/3

now put it together!

(1/4) - 6(4/3)

(1/4) - (24/3) --------> (which simplifies to 8)

1/4 - 8 ----> (now you have to simplify this to match 1/4 denominator)

(1/4) - (32/4)

-31/4

msg or comment if you have any questions!

Obtén la pendiente de las siguientes rectas, grafícalas y determina si las rectas L1 y L2, cuyas ecuaciones son 3x+4y-2=0 y 3x+4y+6=0, son paralelas o no.

Answers

I am so lost I do not understand Espanolt it’s d

click on file! thank youuu!! <3​

Answers

Answer:

[tex]2(x+11y)[/tex]

Step-by-step explanation:

Rearrange:

[tex]10x-7x-x+13y+9y[/tex]

Subtract and Add:

[tex]2x+22y[/tex]

Simplify:

[tex]2(x+11y)[/tex]

Answer:

x + 11y

Step-by-step explanation:

Working in parts starting with x...

10x-7x = 3x

3x - x = 2x

Moving on to y...

13y + 9y = 22y

Put it together

2x + 22y

Simplify by dividing both by a common number ( in this case 2)

x + 11y

HELPPP! FASTTTT PLEASE PDJWIJPDHPHDPIHSPDHBSPIBSBPSIBPIBSOISBOBIBSOIBSOIBSOIBISOISBOISG

Answers

I think it’s the second one

Answer:

B

Step-by-step explanation:

Look how point D moved to point D". It went 7 units left and 1 unit down. All points in ABCD moved the same way to A"B"C"D. It's a translation of 7 units left and 1 unit down.

Answer: B

15^6*8^8(9)^8 what is it

Answers

Answer:

8.2263565e+21

Step-by-step explanation:

im smart

The $5$th power of what number is equal to $3^{15}$?

Answers

Answer:

what

the numbers are all messed up

the three inside angles are(A,B and C) of a right-angled triangle are the ratio 7:18:11. The smallest abbé is 35 degrees. Work out angle A,B and C

Answers

Answer:

a

Step-by-step explanation:

Answer:

it is b i believe this this this this this thsidjcbd dbchf f f f f f f. f f r r f f f f f

Step-by-step explanation:

The area of a rectangle is 360 cm, and the length is 2 cm more than the width Find the width​

Answers

Answer: 18 cm

Explanation:

Let x = width (W)
Let x + 2 = length (L)

Area (A) = L*W
x(x+2) = 360
x^2 + 2x = 360
x^2 + 2x - 360 = 0
(x + 20)(x - 18) = 0
x + 20 = 0
x = -20
^^^ reject because distance can’t be negative
x - 18 = 0
x = 18 (width)

x + 2 = 20 (length)

Check:
A = L*W
360 = 20 * 18
360 = 360

Solving Two Step Equations

3(x + 4) - 5 = 2x + 4

Answers

Answer:

-3=x

Step-by-step explanation:

3(x+4)-5=2x+4

use distributive property to get:

3x+12-5=2x+4

simplify to get:

3x+7=2x+4

subtract 4 from both sides to get:

3x+3=2x

subtract 3x from both sides to  get:

3=-x

multiply both sides by -1 to get your answer:

-3=x

The answer to 3(x+4)-5=2x+4 is X=-7

It costs $45 for a flower arrangement and $.30 per mile for delivery. If the total cost came to $49.80, how many miles were the flowers delivered?​

Set up an equation to solve for the number of miles driven.

Answers

The equation is 0.30x+45=49.80 and the
X=16

using the remainder theorem which quotient has a remainder of 20?

Answers

Answer:

D

Step-by-step explanation:

When a polynomial f(x) is divided by (x - a) then remainder is f(a)

A

divided by (x + 4 ), then a = - 4

[tex](-4)^{4}[/tex] - 8(- 4)² + 16 = 256 - 128 + 16 = 144 ≠ 20

B

divided by (x - 2), then a = 2

3(2)³ + 7(2)² + 5(2) + 2

= 3(8) + 7(4) + 10 + 2

= 24 + 28 + 12 = = 64 ≠ 20

C

divided by (x + 5) , then a = - 5

(- 5)³ + 5(- 5)² - 4(- 5) + 6

= - 125 + 125 + 20 + 6 = 26 ≠ 20

D

divided by (x - 2), then a = 2

3[tex](2)^{4}[/tex] - 5(2)³ + 5(2) + 2

= 3(16) - 5(8) + 10 + 2

= 48 - 40 + 12 = 20 ← Remainder of 20

Answer:

(3x^(4)-5x^(3)+5x+2)-:(x-2)

Step-by-step explanation:

Plato/Edmentum

PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.

A: Choose the compound inequality that describes the elevation x of Ted's house

B. ted lives between _____ m and ______ m above sea level​

Answers

Answer:

98 and 105

Step-by-step explanation:

Complete the given ordered pairs 2x +y=8

Answers

Answer:

hope it helps .... . . ........................!

Need help asap
solve v 2v-11=17

Answers

Answer:

v = 14

Step-by-step explanation:

Add 11 to both sides of the equation

2v-11+11 = 17+11

Simplify. (à la, add the numbers)

2v = 28

Divide both sides of the equation by 2

v = 14

What is 30 Divided by 2.42

Answers

Answer: 12.3966942149

Step-by-step explanation: Just use the calculator next time, hope this helps.

Answer:

12.39669421

Step-by-step explanation:

30/2.42=12.39669421

A company that teaches self-improvement seminars is holding one of its seminars in
Hampton. The company pays a flat fee of $69 to rent a facility in which to hold each session.
Additionally, for every attendee who registers, the company must spend $15 to purchase
books and supplies. Each attendee will pay $18 for the seminar. Once a certain number of
attendee register, the company will be breaking even. How many attendees will that take?
What will be the company's total expenses and revenues?

Answers

Step-by-step explanation:

I take it that the $69 flat fee is for one event.

and we are talking about one event overall.

"breaking even" means that the sum of all expenses and revenues is 0.

so, with x being the number of attendees,

0 = 18x - 15x - 69

69 = 3x

x = 23

that means, with 23 attendees they will break even, and with every attendee more they will gain.

in the case of 23 attendees the company will have expenses of 69 + 23×15 = $414.

and the revenues are 23×18 = $414

3) if the cost of 1 pen is Rs.10, find the cost of 5 pen​

Answers

Answer: 5 pens cost Rs.50

Explanation: Since 1 pen costs Rs.10, you will need to multiply the number of pens (1) and the cost of that number of pens (Rs.10) by the amount of pens you must find the cost for (5). Since 10 times 5 is 50, that means that 50 is the cost of 5 pens.

I hope this helps!

I don't know this question will u help

Answers

Answer:

Step-by-step explanation:

It is one

Answer:

f(x)=(2/3)x+(4/3)

Step-by-step explanation:

find gradient,m

(4-2)/4-1)=2/3

m=2/3

find y intercept

(4-c)/(4-0)

c=4/3

y=mx+c

f(x)=(2x3)x+(4/3)

Lena's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Lena S4.10 per pound, and type B coffee costs $5.95 per
pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $336.00. How many pounds of type A coffee were used?

Answers

Answer: Just bought 21 pounds of coffee A

Step-by-step explanation:

We know that she consumed twice as many pounds of Type                              B coffee as type A.Then let the total number of cafe feet A=x ; then the                              number of cafe feet B=2x . We also know that the total number of feet cost $336

And the fact that one pound of coffee A costs $ 4.1 ; and one pound of coffee B costs $ 5.95

Then :[tex]\large \boldsymbol {} 2x\cdot 5,95 +x\cdot 4,1 =336 \\\\ 11,9x+4,1x=336 \\\\ 16x=336 \\\\ \boxed{x=21}[/tex]

Please help I have school

Answers

Answer:

77

Step-by-step explanation:

8 and 2/5 times 18 and 1/3 is 154. Divide 154 by 2 or multiply by 1/2 and get 77

Jim rented a truck for one day . There was a base fee of $18.95 and there was an additional charge of 74 cents for each mile driven . Jim had to pay $119.59 when he returned the truck . For how many miles did he drive the truck ??

Answers

Answer:

136 miles

Step-by-step explanation:

subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents

which gives you 136 so 136 miles.

Hope this helps :)

pleaaaaaaaaaaseeeeeeeee heeeeeeeeeeeelllllllllllllllllpppppppppppppppppp

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When dividing exponents, you can subtract them from eachother.

So, x^2/x = x    y^3/y^-3=y^6     z^2/z^2 = z^0 = 1

Other Questions
I will give brainliest if you correct."How to write a reflection on the changed I made for my paragraph"?Search it up I don't care I just need an example and yeah.right NOW! divide the following mixed fraction2 7/10 3 1/4 June follows a special diet that does not allow her to eat any milk products. This diet could be __________.A.vegan, lactose-free, or diabeticB.lactose-free, vegan, or ovo-vegetarianC.kosher, lactose-free, or low-sodiumD.diabetic, lacto-vegetarian, or low-sodium Thomas, a waiter at a local restaurant, is paid $ 4 an hour plus tips. His friend Marie works at a local bookstore for $12 an hour. Marie and Thomas worked the same number of hours. If Thomas made $120 in tips and both made the same amount of money, how many hoursPlease just write the equation out. 5. Elsa spent half of her allowance going to a movie. Buthen she walked the dog to earn another $8. What is herveekly allowance if she ended with $14? the standard form of (6x1)+ 1000/8 = Solve. Move a number to each box to make the equation true.2. 4. 5. 7. 10. 11. Distinct features / Characteristics of Paintings. Luz Mara dispone de 200 euros para gastarse en las rebajas; la mitad se lo gasta en ropa, 52,73 euros en calzado y otra cierta cantidad en lencera. Si le sobran 5,30 euros. Cunto dinero se ha gastado en lencera? Before entering the vehicle you should check around the outside of the vehicle for broken glass ( windows, lights, etc.) body damage, condition of tires, fluid leaks, direction of front tires, or debris on the ground that could interfere with movement. Group of answer choices True or False Explain why the arrangement of the abdominal muscles conveys added strength to the abdominal wall. 2. rx + h = -ksolve for x? Which of the following notations correctly describe the end behavior of thepolynomial graphed below? Factorise x2 (squared) - 6x - 27Whats the answer? Indica que clases tienen Beto y sus amigos a estas horas y que tienen que hacer what happens to a cell during interphase geometry!!JL has endpoints J(8,10) and L(20,5). Point K has coordinates (13,9). What is the length of JL? HELP ME OUT PLEASE! Carina loved running, and she loved winning too. She was the captain and star athlete of her track and field team. Although Carina wasnt an excellent runner when she first joined the team two years earlier, she practiced all the time and soon began to win almost every race in which she competed. Carina was doing so well that she thought she might become the winningest track and field athlete in her schools history! 2One afternoon at track practice, Coach Winder nabbed everyones attention to introduce a new athlete. This is Roberto," he said. "He just transferred to our school from Greensboro Middle School. Please welcome Roberto to the team! 3The members of the team clapped and jostled each other as they tried to shake Robertos hand. As the team captain, Carina shook Robertos hand first. She introduced herself and told Roberto that she was excited to have another team member. Roberto told Carina that he had been reluctant about joining the team, but Carina assured him that he would have a marvelous time. 4The next day, the members of the track team stretched before running some sprints. Carina told Roberto that he could race with her. Dont worry, she said. Ill go easy on you because its your first practice. 5Carina and Roberto lined up at the starting blocks. When they heard the CRACK of the starting pistol, Roberto and Carina started. After a short distance, Carina realized that Roberto was no longer beside her. She turned to see how far behind he had fallen, but to her amazement, Roberto was not behind her. She looked up and saw Roberto surging ahead. His feet moved as fast as lightning! When Carina realized that she was about to lose, she ran as vigorously as she could; however, it wasnt enough. Roberto triumphed. Carina seemed almost paralyzed with shock, but she managed to smile and congratulate him. 6Over the next few weeks, Roberto became a phenomenon on the track. No matter how hard Carina trained, she could never beat Roberto. 7One evening after a track meet, Carina was desolate. Roberto had won first place, and Carina had come in third! She considered hanging up her running shoes and quitting the team. Just as she was about to call Coach Winder, her father entered the living room. Carina explained her situation to him. 8If winning is so important to you that you cant merely have fun being a member of the team, said Carinas father, then I guess quitting is your only option. But, before you make your decision, think about why you originally joined the team. 9The next day, Carina walked into Coach Winders office and handed him a slip of paper. Coach Winders eyes widened as he read it. Then, he closed the note and shook his head approvingly. 11Thats right, Carina said with a smile, Id like Roberto to serve as co-captain of the team.What happens in the RESOLUTION of this story? A) Carina goes to the coach to suggest that she and Roberto become co-captains. B) Roberto joins the track team and quickly becomes competition for Carina. C) Carina loses a race to Roberto and decides to quit track for good. D) Over the past couple of years, Carina has improved her racing skills through lots of practice. This is the only question I cant answer somebody help me please and thank you 26Convert to a mixed number.3