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.(-20) and (3,0).
Is Seth's solution correct? Explain.

Answers

Answer 1

The graphs intersect at the points (3, 13) and (-2, -7).

How to determine the intersection of 2 graphs

Given the following equations:

y₁ = x² + 3x - 5  (quadratic equation)

y₂ = 4x + 1 (linear equation)

To find the intersection point(s) of  the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:

y₁ = y₂

x² + 3x - 5 = 4x + 1

collect the like terms

x² - x - 6 = 0

Now we'll factor the quadratic expression:

(x - 3)(x + 2) = 0

x - 3 = 0 or x + 2 = 0

x = 3 or x = -2

Now we have the points of intersection on the x-axis.

To get the corresponding  values on the y-axis, we'll plug each value of x into either of the original equations.

Let's use the first equation:

y₁ = x² + 3x - 5

When x = 3:

y₁ = 3² + 3(3) - 5 = 13

When x = -2:

y₂ = 4x + 1 = 4(-2) + 1 = -7

So the first intersection point is (3, 13) and the second intersection point is (-2, -7).

Therefore, the graphs intersect at the points (3, 13) and (-2, -7).

Learn more about intersection here:

https://brainly.com/question/29185601

#SPJ1


Related Questions

Find the value of "x"

Answers

Copy n paste the link above

What is the simplified expression of 14 – 8 + 4 × 11 ÷ 22 + 6 – 11?

Answers

Answer:

your answer will be 3

Step-by-step explanation:

Addison sells plants. She sold 7 times as many as tomato plants as pepper plants, for a total of 64 plants sold. How many pepper plants did she sell? PLEASE SOMEONE GIVE ME THE ANSWER AHHHH

Answers

She sold 8 pepper plants.

From this problem I made the equation
7p+p=64

I knew that it needed to be 7 times however many pepper plants she sold, so I substituted p until it equaled 64.

7*8+8=64
56+8=64
64=64

So she sold 8 pepper plants and 56 tomato plants for a total of 64 plants.

Answer:

8 pepper plants were sold.

Step-by-step explanation:

Assuming [tex]x=[/tex] the number of pepper plants sold, she sold [tex]7x[/tex] tomato plants and [tex]x[/tex] pepper plants, and since tomato plants sold + pepper plants sold = 64, we can turn this into the equation [tex]7x+x=64[/tex]. To solve this first we combine like terms to get [tex]8x=64[/tex]. Cancel the 8 by dividing both sides by 8 and we get [tex]x=8[/tex], which is the number of pepper plants sold. (We could also multiply x by 7 to get the number of tomato plants sold, which is 56.) Hope this helps!

PS: Please mark brainliest!

A test was done to look at the maximum speed of mopeds. They found that the maximum speed had a normal distribution with a mean of 29 mph and standard deviation of 1.4 mph. Consider randomly selecting a moped.
a. What is the probability that the maximum speed is at most 31 mph?
b. What is the probability that the maximum speed is at least 29.8 mph?
c. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
d. Suppose we select 49 mopeds, what is the probability that the sample mean will be at least 29.5 mph?

Answers

Answer:

C

Step-by-step explanation:

The heights, in inches, of five players on a basketball
team are 68, 70, 76, 71, and 70. What is the mean
height, in inches, of these players?
A)76

B)72

C)71

D)70

Answers

Answer:

C) 71

Step-by-step explanation:

To find the mean you must first add all the numbers:

68 + 70 + 76 + 71 + 70 = 355.

After that you divide the number you got by how many numbers are in the set.

There are five players so we divide the number by 5

355/5 = 71

Therefore, it is 71.

ALGEBRA

identify the terms, coefficients, and constants in the expression.

5m+9

Answers

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Raja solved the inequality –3x – 5 ≤ 1. His work is shown below. Where did Raja make an error in his calculation? Explain.

Answers

Answer:

Raja made an error in d equality sign in d answer

Step-by-step explanation:

-3x< or =6

when dividing both sides by -(negative)3, the sign 4 d answer changes

x > or = -2

Suppose all the terms of a geometric sequence are
positive, and the common ratio r is between 0 and
1.
Is the sequence increasing of decreasing? Explain.

Answers

Answer: the sequence is increasing. The reason it is increasing because its atleaset increasing by one number.

Answer:

Step-by-step explanation:

this is called  "monotonically decreasing"    as the exponent on the ratio goes up , and the ratio is less than 1 but more than zero,  the number gets smaller and smaller.... it approaches zero is what happens.

4 more than twice a number is less than the opposite of the number

Answers

Answer:

x=1

Step-by-step explanation:

2n+4<-n

:

2n+n+4<0

:

3n<-4

:

n<-4/3

:

0<2

No LINK Easy math please help is this liner y=2\x +1 explain please too

Answers

Answer:

It is not linear

Step-by-step explanation:

If you plug that function into Desmos graphing Calculator, you can see there are two leparate lines and they are not straight.

NO SCAM LINKS.

please reply ASAP PLEASEEEE

Answers

Answer:

B

Step-by-step explanation:

the answer is B hope this helps

(2x + y)2 – (3x – 2y)2 + (x – 4y)(x + 4y
11​

Answers

Answer:

Step-by-step explanation:

(a+ b)² = a² +  b² + 2ab

(2x + y)² = (2x)² + y² + 2*2x *y

             = 4x²  + y² + 4xy

(a- b)² = a² + b² - 2ab

(3x - 2y)² = (3x)² + (2y)² - 2*3x *2y

              = 9x² + 4y² - 12xy

(a - b)(a +b) = a² - b²

(x - 4y(x + 4y) = x² - (4y)²

                     = x² - 16y²

(2x + y)² - (3x - 2y)² + (x - 4y)(x +4y)

  = 4x²  + y² + 4xy - (9x² + 4y² - 12xy) + x² - 16y²

  = 4x²  + y² + 4xy - 9x² - 4y² + 12xy + x² - 16y²

  = 4x² - 9x² + x²  + y² - 4y² - 16y²+ 4xy + 12xy

 =    -4x² - 19y² + 16xy

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer: true

Explanation:

Which pair of ratios is proportional?

A. 3 ft : 8 sec and 5 ft : 11 sec

B. 6 yd : 10 mi and 18 yd : 30 mi

C. 3:25 and 5:50

D. 6 in. : 8 min and 3 min : 2 in.

Answers

The answer is = d due to the proportional

The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?

Answers

Answer:

10 square inches per second.

Step-by-step explanation:

The radius of the circle is given by the equation:

r(t) = (1/π  in/s)*t

Where time in seconds.

Remember that the area of a circle of radius R is written as:

A = π*R^2

Then the area of our circle will be:

A(t) = π*( (1/π  in/s)*t)^2 = π*(1/π  in/s)^2*(t)^2

Now we want to find the rate of change (the first derivation of the area) when the radius is equal to 5 inches.

Then the first thing we need to do is find the value of t such that the radius is equal to 5 inches.

r(t) = 5 in =  (1/  in/s)*t

       5in*(π s/in) = t

        5*π s = t

So the radius will be equal to 5 inches after 5*π seconds, let's remember that.

Now let's find the first derivate of A(t)

dA(t)/dt = A'(t) = 2*(π*(1/π  in/s)^2*t = (2*π*t)*(1/π  in/s)^2

Now we need to evaluate this in the time such that the radius is equal to 5 inches, we will get:

A'(5*π s) = (2*π*5*π s)*((1/π  in/s)^2

              = (10*π^2  s)*(1/π^2  in^2/s^2) = 10 in^2/s

The rate of change is 10 square inches per second.

please help me on this

Answers

Answer: 7/8

Step-by-step explanation:

There are 8 tickmarks on the number line, each representing 1/8.

So, the question mark represents 7/8 (since it is one tickmark to the left of 1)

Find the degree of the polynomial

Answers

Answer:

2

degree is highest exponent in equation and 2x² has 2 and is highest

I need to give the slope but I don’t know how someone help!

Answers

Answer:

-4/2

Step-by-step explanation:

rise over run

goes down -4 "rises"

moves over 2 runs

Solve if you want cookie!

Answers

Step-by-step explanation:

[tex]y = 2x \: \: \: \: x + y = 6 \\ y = 2x \: \: \: \: x = 6 - y \\ y = 2(6 - y) \: \: \: \: x = 6 - y \\ 3y = 12 \: \: \: \: x = 6 - y \\ y = 4 \: \: \: \: x = 2[/tex]

Gimme tha cookie

Find the simple interest on the following amounts:
a K4000 invested at 6% p.a. for 4 years
b K23 000 invested at 6.5% p.a. for 8 years
K580 borrowed at 5% p.a. for 9 months
inte
с
500​

Answers

Answer:

a. Simple interest = K960

b. Simple interest = K11,960

c. Simple interest = K261

Step-by-step explanation:

Given the following data;

a. Principal = K4000

Interest rate = 6%

Time = 4 years

To find the simple interest;

Mathematically, simple interest is calculated using this formula;

[tex] S.I = \frac {PRT}{100} [/tex]

Where;

S.I is simple interest.

P is the principal.

R is the interest rate.

T is the time.

Substituting into the equation, we have;

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {4000*6*4}{100} [/tex]

[tex] S.I = \frac {96000}{100} [/tex]

S.I = K960

b. Principal = K23 000

Interest rate = 6.5%

Time = 8 years

To find the simple interest;

[tex] S.I = \frac {PRT}{100} [/tex]

Substituting into the formula, we have;

[tex] S.I = \frac {23000*6.5*8}{100} [/tex]

[tex] S.I = \frac {1196000}{100} [/tex]

S.I = K11,960

c. Principal = K580

Interest rate = 5%

Time = 9 months

To find the simple interest;

[tex] S.I = \frac {580*5*9}{100} [/tex]

[tex] S.I = \frac {26100}{100} [/tex]

S.I = K261

ASAP Please!

Enter the amplitude of the function. f(x)=5cosx

Answers

5, so 5 is going to be it

Amplitude of  f(x)=5cosx

= 5

what's an amplitude example?

The amplitude of a periodic variable is a measure of its change in a single period. The amplitude of a non-periodic signal is its magnitude as compared with a reference value. there are numerous definitions of amplitude, which can be all functions of the magnitude of the differences between the variable's extreme values.

It refers to most displacement from the equilibrium that an object in periodic motion show. as an example, a pendulum swings through its equilibrium point (straight down), and then swings to a maximum distance away from the center.

Learn more about amplitude here

https://brainly.com/question/3613222

#SPJ2

Amy needs to estimate how many students at her school like online testing. She needs to create a random sample of students. How should Amy collect her sample? Select two that apply.
O Amy should ask every 10th person leaving the school at the end of the day.
O Amy should ask 3 people at every table in the cafeteria
O Amy should ask her 10 closest friends.
O Amy should ask the 35 students in her honors math class
O Amy should ask the 50 students in the computer club.​

Answers

Answer:
The answer should be the second one and 4th

What is the value of y?
Please help!

Answers

I wanna say 90 because it looks like a right angle

Drag the numbers to create three ratios that are equivalent to 4:12. Each number may be used once or not at all.

Answers

Answer: 20:60, 12:36, 2:6

Step-by-step explanation: All you need to do is look at the numbers and see which 3 are equivalent to 4:12.

THIS IS DUE NOW wiil give crown if right Winston bought an encyclopedia priced at $42. Shipping and handling cost anadditional 30% of the price. What was the total cost of the encyclopedia, in cluding shipping and handling?

Answers

Answer:$52.60

Step-by-step explanation: You have a initial cost of $42 and you have to add 30 %. When you add the 30 % you get 12.60 more dollars added to the amount. This will then give you an answer of $52.16.

At a candy store each bag holds 0.75 pounds. A box with 12 pounds of candy is being put into ,b, bags. How many bags of candy is this?

Answers

Answer:

17 bags is correct

Step-by-step explanation:

12 / 75 is equal to 17.14

HELPPPPPPPPP PLEASEEEE​

Answers

Answer:

X=17

Step-by-step explanation:

7x-1+5x-23=180

12x-24=180

12x=204

x=17

help help please it due rn?​

Answers

Answer:

Step-by-step explanation:

E : -5 , -3

F:    2 , -7

Distance = sqrt(  ( 2 -(-5)) * ( 2 -(-5)) + (-7 -( -3)) *(-7 -( -3))  )= sqrt ( 49 + 16 ) = sqrt (65)

(10-i)-(12+6i)
.............

Answers

Answer:

-2 - 7 i

Srry If Im wrng but Hope this helped :)

Answer:

It is -2-7i

Step-by-step explanation:

A pick-up truck is fitted with new tires which have a diameter of 43 inches. How fast will the pick-up truck be moving when the wheels are rotating at 400 revolutions per minute? Express the answer in miles per hour. (mph)

Answers

Answer:

v = 51.19 mph

Step-by-step explanation:

The diameter of the tires, d = 43 inches

The angular velocity of the wheels = 400 revolutions per minute

400 revolutions per minute = (400/60) rev/s = 6.67 rev/s

The circumference of the tire is :

C = 2πr

= 2π×21.5

= 135.08 inches

The speed of the truck is given by :

[tex]v=6.67 \times 135.08 \\\\v=900.983\ in/s[/tex]

or

v = 51.19 mph

So, the speed of the truck is equal to 51.19 mph.

Other Questions
PLs help Me its due in 45 min The radius of a circle is 18.1 cm. Find the circumference to the nearest tenth.Answer C=__________ Les 2/3 de 9Litres ? Photosynthesis occurs in the ______aerobic cellular respiration occurs in the _______and anaerobic cellular respiration occurs in the cytoplasm. A gas at a temperature of 300 K occupies a 5 L flexible container at a pressure of 150 kPa. What volume will it occupy at STP? Create your own poem that could be considered a parody of a famous piece of art. Submit the picture of the original art along with your poem. PLEASE HELP:):):):):):):):) Complete the sentence.32% of 25 isI need all the help I can get! How did the global economic conditions during the 1930s contribute to the onset of World War II? Find the area of the shaded region A proton travels through uniform magnetic and electric fields. The magnetic field is in the negative x direction and has a magnitude of 2.48 mT. At one instant the velocity of the proton is in the positive y direction and has a magnitude of 1840 m/s. At that instant, what is the magnitude of the net force acting on the proton if the electric field is (a) in the positive z direction and has a magnitude of 5.19 V/m, (b) in the negative z direction and has a magnitude of 5.19 V/m, and (c) in the positive x direction and has a magnitude of 5.19 V/m An item costs $370 before tax, and the sales tax is $14.80.Find the sales tax rate. Write your answer as a percentage. The Fugitive Slave Act led to further division between the North and south by - WILL GIVE BRAINLIEST PLEASE HELP! a protecting free African Americans living in the North. b stating that escaped slaves did not have to be returned to their owners.c angering people in the North because the law imposed fines and penalties for helping slaves. d allowing escaped slaves become free people once they had lived in free areas for a month. Describe the likelihood of the following statement.You find two parallel line that intersect. When triangle ABC was dilated by a scale factor of 2, centered at the origin, the resultwas its image triangle ABC. The vertices of triangle ABC are A(-4,4), B (-4,6) and C (2,4). For an athletic competition only those boys who can run 10 kilometers, will be nominated. Johnny managed to run 9941 meters and 5456 centimeters and then he stopped totally exhausted and unable to continue. By how many centimeters did he miss the finish line? PLEASE HELPPPPPPP!Everything in a book is a symbol? True or False factor completely p^2+7p+10 I need help, please dont copy and paste a page to a siteUse the passage below to answer the following question.Both Lincoln and Roosevelt undertook acts they knew to be beyond the Constitution. Both did so in times of transcendent crisis when the life of the nation seemed truly at stake. Both acted, knowingly or not, on Lockes doctrine of emergency prerogative, trusting that Congress would eventually approve their actions.-Arthur Schlesinger, The Imperial Presidency, 1973Based on the text, which of the following statements would the author most likely agree with?(Choice A) Presidential power has increased in the face of growing federal challenges(Choice B) Presidential power has decreased as Congress has become more powerful(Choice C) Presidential power has increased as Congress has passed resolutions to expand executive warmaking powers(Choice D) Presidential power has decreased as executive agencies have taken on more responsibilities Which of these Transcendentalist writings had the most direct influence in african american activists in the 1950s and 1960s?