Instructions-Solve the system of equations. Type in all points of intersection for the two functions and round to the nearest tenth if necessary.
-
f(x) = 5x + 25 - 1
8(x) - - 2x-3

Answers

Answer 1

Answer:

f(x)=5x+25-1

8(x)- -2x-3

=30-1

=8x+6x

=29+14x

43x

Answer 2

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0).

The point of intersection of the two functions is (3, 27).

The system of equations is:

f(x) = 5x + 25 - 1 = 5x + 24

g(x) = 2x - 3

To solve this system, we can use the elimination method. We can eliminate the x-term by adding the two equations together.

f(x) + g(x) = 5x + 24 + 2x - 3 = 7x + 21

Solving for x, we get:

x = 21/7 = 3

Now that we know the value of x, we can plug it back into either equation to find the value of y. Let's use the equation for f(x).

f(x) = 5x + 24

f(3) = 5(3) + 24 = 27

Therefore, the point of intersection of the two functions is (3, 27).

To the nearest tenth, the point of intersection is (3.0, 27.0)

To learn more about functions here:

https://brainly.com/question/31062578

#SPJ2


Related Questions

Pls help. I really don’t understand how to do this.

Answers

Answer:

k = 6

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) shifted 6 units to the left

Then

g(x) = f(x + 6) → with k = 6

Help me plz !!!!! ):$$:):!:!!::

Answers

Answer:

9x - 13 = y

Step-by-step explanation:

big brain

solve for x and ___
help pls

Answers

Answer:

-10

10

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:

A local hamburger shop sold a combined total of 483 hamburgers and cheeseburgers on Thursday. There were 67 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday?

Answers

Answer:

416, I believe this is the answer.

Step-by-step explanation:

483 - 67 = 416

Foram vendidos 416 hambúrgueres na quinta-feira

pls answerrrrrr<3333

Answers

Answer:

[tex](x+6)(x+10)[/tex]

Step-by-step explanation:

Break the expression into groups, [tex]=(x2+6x)+(10x+60)[/tex]

Factor out x from [tex]x2+6x: x(x+6)[/tex]

Factor out 10 from [tex]10x+60: 10(x+6)[/tex]

[tex]=x(x+6)+10(x+6)[/tex]

PLEASE HELP ITS DUE IN 10 MINUTES IF YOU PUT A LINK I WILL REPORT YOU AND I WILL GIVE BRAINLIEST

Answers

Answer:

|x + 7| ≥ 2 is the inequality

Step-by-step explanation:

x - b ≥ c    or    x - b ≤ -c

x ≥ b + c = -5     or x ≤ b - c = -9

b + c = -5

b - c = -9

2b = -14

b = -7                             -7 + c = -5

                                             c = 2

x - (-7) = x + 7

So, |x + 7| ≥ 2 is the inequality

A multiple-choice test has five questions, each with five choices for the answer. Only one of the choices is correct. You randomly guess the answer to each question. What is the probability that you do not answer any of the questions correctly?

Answers

Answer:

Ans: (1/5)^2 *(4/5)^3 = 0.0205

Step-by-step explanation:

PLES HALP 30 points pic down below

Answers

Answer:

the answer is -4,3

Step-by-step explanation:

the x axis goes first then the y axis

Answer: it would be A

Step-by-step explanation: It's located at -4 but when you go up you count 3 so therefor it is (-4,3)

The pattern for the kite calls for 169 square inches of fabric. What is the
side length of the kite?

Answers

Answer:

13 inches.

Step-by-step explanation:

Square root 169 and you will get the answer 13. Hope this helped.

4(5+ab) where a=-3.5 and b-0.8

Answers

Answer:

31.2

Step-by-step explanation:

4(5 + (- 3.5 × - 0.8)

4(5 + 2.8)

4(7.8)

31.2

PLEASE ANSWER WITH NO LINKS THIS IS MY 3RD TIME ASKING THE SAME QUESTION Shopping at Savers Mart, Lisa buys her children 4 shirts and 3 pairs of pants for $85.50. She returns the next day and buys 3 shirts and 5 pairs of pants for $115.00. What is the price of each shirt and each pair of pants.

Answers

Price for each pair of shirts = $7.50

Price for each pair of pants = $18.50

Hi hi bay what is the name of the church in the park for the park in west bay park in orange brown orange yellow yellow white orange yellow green green yellow green purple yellow yellow green orange yellow green yellow white green green orange green green purple green green orange yellow

Answers

Answer:

Its called west bay Advent christian church, hope it helps

also gotta love our space friends XD

Step-by-step explanation:

SUPER EASY What is 4a + 5 × S simplified

Answers

Answer:

4a + 5S

Step-by-step explanation:

4a + 5s hoped this help!

Use the first five terms of the trigonometric series to approximate the value of sin to four decimal places. Then compare
the approximation to the actual value.
a. -0.9568, -0.9659
b. -0.9649, -0.9659
C. 0.5884, 0.5878
d. -0.9609, -0.9659

Answers

Quick answer, without using series: sin(4π/5) must be positive since 0 < 4π/5 < π. So C is the only possible choice.

Longer, proper answer:

The first five terms in the series expansion of sin(x) are

sin(x) ≈ x - x ³/3! + x ⁵/5! - x ⁷/7! + x ⁹/9!

Now let x = 4π/5:

sin(4π/5) ≈ 0.5884

so again the answer must be C.

Trigonometric series :  A mathematical series whose terms proceed by sine and cosines of integral multiples of a variable angle.

Option c is correct.

First five term of Trigonometric series of sin is shown below,

   [tex]sin x=x-\frac{x^{3}}{3!}+\frac{x^{5}}{5!}-\frac{x^{7}}{7!}+\frac{x^{9}}{9!}-......[/tex]

substitute x = [tex]\frac{4\pi }{5}[/tex]

  [tex]sin \frac{4\pi }{5}=\frac{4\pi }{5}-\frac{(\frac{4\pi }{5})^{3}}{3!}+\frac{(\frac{4\pi }{5})^{5}}{5!}-\frac{(\frac{4\pi }{5})^{7}}{7!}+\frac{(\frac{4\pi }{5})^{9}}{9!}-......[/tex]

After solving,

We get, approximation value of    [tex]sin\frac{4\pi }{5}=0.5884[/tex]

Now find , actual value

              [tex]sin\frac{4\pi }{5}=0.5878[/tex]

Learn more:

https://brainly.com/question/23159335

can someone please help me if you know how to do this i need it ASAP!

Answers

Use the equation provided above (Area = 1/2bh) where b = base and h = height of triangle

This formula can oy be used for right angled triangles.

You find the base of the right angled triangle by dividing the base given in the diagram by 2.

The height is already given, the dotted line is the height.

Multiply everything together and the answer obtained is the area of the triangle

I've given up on math, help would be wildly appreciated

Answers

Answer:

1. [tex]\frac{2}{3}[/tex] probability

2. head represents cats (let's say) and tails represent dogs, flip two coins to determine whether the family has 2 cats or 2 dogs or 1 cat and 1 dog.

3. Take two coins, flip them, record heads and tails of each flip for 50 flips (I ain't no doing this)

4 - 6. answer these questions based on the data you got...

The End

Miss Laura by 12 pounds and 8 ounces of flour she used 4 ounces of flour in each batch of sugar cookies how many batches of sugar cookies did she make

Answers

Answer:

50

Step-by-step explanation:

so if 16 ounces are in each pound

lets multiply 12 x 16 = 192

now we have the pounds out add the leftover ounces

192 + 8 = 200

now that we can divide, but wait there is more to make its easier!

if 4 x 5 = 20

and 4 x 100 = 400

lets do 4 x 50 = 200

so now that 4 x 50 = 200

Miss Laura can make 50 batches of cookies.

why are these math questions so weird for elementary schoolers?

Fund the value of a4

Answers

Answer:

Step-by-step explanation:

A4 means the 4th number so it would be 17.

jess travels 5 miles to school and pam travels 10 km. Who travels further? plz help i got 2 minutes ti answer​

Answers

Answer:

pam

Step-by-step explanation:

10k is over 6 miles

HELP ASAP!!

Ariel is emptying the water from a 10 gallon cooler. The graph shows the
water level in the cooler as she empties it. Which best describes the rate of
change shown in the graph?

DO NOT PUT YOU FAKE FILES HERE !

Answers

Answer:

Step-by-step explanation:

The water level decreases 2 gallons every 3 seconds describes the rate of change shown in the grap

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Ariel is emptying the water from a 10 gallon cooler.

The graph shows the water level in the cooler as she empties it

Rate of change is change in water to change in time

(3, 8) and (0, 10) are the points from graph

Rate of change  = 10-8/0-3

=-2/3

The minus sign is showing that is is decreasing

The water level decreases 2 gallons every 3 seconds

Hence, the water level decreases 2 gallons every 3 seconds describes the rate of change shown in the graph.

To learn more on Graph click:

https://brainly.com/question/17267403

#SPJ2

Maggie has exactly 20$ to buy decorations for the dance. Streamers cost 2$ per roll and balloons are 1.50$ per package. Which set of purchases is closest to her budget??

Answers

Answer:

675esa  espuesatr

Step-by-step explanation:

Create 2 equivalent expressions

4(2x1.5x)+10​

Answers

ANS: 2 (12e^2inx^3prs^3 o + 10

Step-by-step explanation:

John wanted to buy his favorite rubber shoes. Its original price is $105. He is lucky today because the shoes that he wanted to buy is 30% off the original price. How much will John pay now for his shoes?

Answers

Answer:

The answer is 31.5

Step-by-step explanation:

Discount = Original Price x Discount %/100

Discount = 105 × 30/100

Discount = 105 x 0.3

You save = $31.50


In trail mix, the ratio of cups of
peanuts to cups of chocolate
candies is 3 to 2. How many cups
of chocolate candies would be
needed for 9 cups of peanuts?


Answers

You would need 6 cups of chocolate candies.

En un salón de clase, el número de mujeres equivale al 80% del total de sus asistentes, si se retiran el 20% de dichas mujeres ¿Qué porcentaje del resto son hombres?

Answers

Answer:

This is an english server

What must the measure of the
angle marked yº be in order for the seat of the bench to be
parallel to the ground?

Answers

Answer:

Linear pair angle of 136 degree =180-136

=44

Therefore angle y is alternate angle of 44

Therefore angle y=44

Answer:

44

Step-by-step explanation:

180 - 136 = 44

What is the simple interest earned on an investment of $12,625 in mutual funds for 12 years at a rate of 4%

Answers

Answer:

Interest earned= $6,060

Step-by-step explanation:

Giving the following formula:

Principal (P)= $12,625

Interest (r)= 4%= 0.04

Period of time (t)= 12 years

To calculate the interest earned after twelve years, we need to use the following formula:

I= P*r*t

I= (12,625*0.04*12)

I= $6,060

Interest earned= $6,060

Express y in terms of x

Answers

Answer:

y = 3x

Step-by-step explanation:

to get y we multiply x by 3 so we have that y = 3x.

The correct answer is y = 3x! :)

Explanation:
Plug in for each variable.
(2, 6): 6 = 3(2) TRUE
(4, 12): 12 = 3(4) TRUE
(6, 18): 18 = 3(6) TRUE

(Also, I would love to get brainliest!)

PLS HELP 55 POINTS PLSS NO LINKS PLS HELPP

Answers

Answer:

12. 114 Laps

13. 234 students don't ride the bus.

14. 1.5% of 26,500.60 is 397.50 so the answer is $26,500.60

15. 24% × 63.4 = 15.2 so the original weight of the bag is 63.4 pounds

Step-by-step explanation:

Solve b+12≤26. Graph the solution

Answers

Answer:

The answer is

b≤14

So you make a filled in circle at 14, make the point for left from there.

Other Questions
find the value of x (x9/3)=2 HELP PLEASEEwhen a person receives an electric shock from wires , is he most affected by a spark, corona, arc or humus solution? If ava makes $15 in 2 hours, what is her rate of pay? a local theater is showing an animated movie. They charge $5 per ticket for a child and $12 per ticket for an adult. They sell a total 342 tickets and make a total of $2550. Write and solve a system of equations that represents this situation. PLEASE HELP!! ....................... URGENT In "Landscape with the Fall of Icarus", Williams mentions "a splash quite unnoticed. Which words from Audens "Muse des Beaux Arts" best illustrate this idea of peoples distraction and indifference? they were never wrong how well they understood walking dully along passionately waiting Most of what we know about the Olmec civilization comes from A. their books and writings. B. the stories of Aztec historians. C. the diaries of Spanish explorers. D. their sculptures and artifacts. it creates parts from thin plastic sheets as opposed to plastic pellets. is it 1. Pickling 2. Thermoforming 3. Extrusion example forces that can make objects move without touching them? Why were children employed during the Industrial Revolution? How did suchemployment impact children? Lola measures the heights and arm spans of the girls on her basketball team.She plots the data and makes a scatterplot comparing heights and armspans, in inches. Lola finds that the trend line that best fits her results has theequation y = x + 2. If a girl on her team is 65 inches tall, what should Lolaexpect her arm span to be?727068Arm span (inches)666260Troo60 62 64 66 68 70 72Height (inches)O A. y = 65 - 2 = 63 inchesO B. y= 65+ 2 = 67 inchesC. y = 65 inchesD. 65 = x + 2X = 63 inches Peanut butter is to jelly as______is/are to______Be creative! (doesn't have to be food)Fun question guys!!!! 1. If I have 45 L of He in a balloon at 25 degrees celsius and increase the temperature of theballoon to 55 degrees celsius, what will the new volume of the balloon be? mushroom can only be found in dark places . why ? If $18 is 45% what is 100% Read the following excerpt from The Story of My Life by Helen Keller and then answer the question that follows.The morning after my teacher came she led me into her room and gave me a doll. The little blind children at the Perkins Institution had sent it and Laura Bridgman had dressed it; but I did not know this until afterward. When I had played with it a little while, Miss Sullivan slowly spelled into my hand the word "d-o-l-l." I was at once interested in this finger play and tried to imitate it. When I finally succeeded in making the letters correctly I was flushed with childish pleasure and pride. Running downstairs to my mother I held up my hand and made the letters for doll. I did not know that I was spelling a word or even that words existed; I was simply making my fingers go in monkey-like imitation. In the days that followed I learned to spell in this uncomprehending way a great many words, among them pin, hat, cup and a few verbs like sit, stand and walk. But my teacher had been with me several weeks before I understood that everything has a name. I left the well-house eager to learn. Everything had a name, and each name gave birth to a new thought. As we returned to the house every object which I touched seemed to quiver with life. That was because I saw everything with the strange, new sight that had come to me.Which of the following best summarizes the excerpt?1. Helen's teacher taught her to finger spell doll so she knew how to tell her teacher what toy she wanted to play with.2. Helen's teacher taught her all objects have a name opening the world of language.3. Helen liked to touch all the objects in the house so she knew which ones she wanted to play with.4. Helen was excited to learn that everything had a name so that she could talk with her teacher. Kowalski, the author of "sweet Nothings," presents evidence to support weight loss and to refute weight loss; why does she do this? so is not 30 so what is it? Ill mark brainliest An investor has an account with stock from two different companies. Last year, her stock in Company A was worth $580 and her stock in Company B was worth $5950. The stock in Company A has increased 5% since last year and the stock in Company B has increased 18%. What was the total percentage increase in the investor's stock account? Round your answer to the nearest tenth (if necessary). plz dont do for points do to help meeee!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Shawn earns $250 per week grooming animals Write an algebraic expression to represent the amount of money that Shawn earns