At what value of x do the graphs of the equations below intersect?

2x − y = 6

5x + 10y = −10

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

You would find a value of y to plug into either of the equations. For example, I chose the equation 2x - y = 6. When I set it equal to y, I got y = 2x - 6Now that I know what y is equal to, I plugged it into the second equation to get 5x + 10 (2x - 6) = -10You then would calculate for x.Your end result should be x = 2, which is the point that the two equations intersect

This works because the two equations are set equal to each other, making them share a common value between them.

You can also plug both of these equations into a graphing calculator, and on the graph select the command to calculate the intersection.

Hope this helped!

Answer 2

Answer:

x = 2

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

5x + 10y = - 10 → (2)

Multiplying (1) by 10 and adding to (2) eliminates the y- term.

20x - 10y = 60 → (3)

Add (2) and (3) term by term to eliminate y, that is

25x = 50 ( divide both sides by 25 )

x = 2

The value of x at the point of intersection is x = 2


Related Questions

PLEASE HELP QUICK
Which equation represents the line that passes through the
point (-2,5) and is perpendicular to the graph of x - 6y = 4 ?

Answers

Answer:

y=6x+7

Step-by-step explanation:

Classify the polynomial as a monomial, binomial, trinomial, or none of these. x2 - 10x + 25

Answers

It is a trinomial because it follows the pattern of x^2 + bx + c. In this case, x^2 - 10x + 25. Also, it only has three numbers and two operation symbols, signifying a trinomial (three = tri).

What is the sum of the measures of interior angles for a regular polygon with 5 sides

Answers

Answer:

360 degrees

Step-by-step explanation:

Answer: 540°

Step-by-step explanation:

180 * (number of agles -2)

180 * (5-2)

180 * 3

540

Expression A: X+3 Expression B: 1 + x + 2 Which statement can be used to show that these expressions are equivalent?
OA. Each expression includes the term x.
OB. The expressions name the same number regardless of the value of x.
OC. X+3 can be rewritten as 1 + x + 2 using distributive property.
O D. Both expressions involve addition,

Please help! May give brainlists. (Idk how to spell it-) ​

Answers

Answer:

The expressions name the same number regardless of the value of x

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Because 3 can become 1 and 2

Are there any five-digit numbers which are reversed when multiplied by 8?

Answers

probably lol sorry




...

PLS HELP!
Simplify -C(Cx^4)^2

Answers

Answer:

k!! *grabs a note book*

soo the answer is... -c^3x^8

Step-by-step explanation:

hope this helps!!

-c•c^2x^8
So the Answer would be -c^3x^8

Use the distributive property to remove the
6(v+4)

Answers

Multiply it out, 6v+ 6*4 = final answer. 6v+24

that is the question

Answers

You have them all marked

At a department store, the price of a freezer is marked up 15% to $450.50.

What was the price of the freezer BEFORE the mark up?

Answers

Answer:

The price was $391.30.

Step-by-step explanation:

We can answer this using algebra:-

Let the original price be $x, then:

x + 15% of x = 450

x + 0.15x = 450

1.15x = 450

x = 450/1.15

x = 391.304

1+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=21+1=2


lol

Answers

Answer:

1 + 1 equals 2.

Step-by-step explanation:

When you take one of something, and you add it to another 1 of something, then you get 2 of something.

A rectangular park is 135 yards long and 90 yards wide.

Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answers

Answer:

l = 140 yards , w = 85 yards

Step-by-step explanation:

1). l = 135 yards , w = 90 yards

P = 2 × 135 + 2 × 90 = 450 yards

A = 135 × 90 = 12,150 yards²

2). l = 140 yards , w = 85 yards

P = 2(140 + 85) = 450 yards

A = 140 × 85 = 11,900 yards²

Answer:

width= 100 yards

length= 125 yards

Step-by-step explanation:

I think.

Audrina goes to the mall with $50. She buys 3 shirts for $8.50 each, and 2 pairs of pants for $11 each. How much money does Audrina have left?

Answers

Answer:

2.5

Step-by-step explanation:

she has buys 3 shirts for 8.50 which = 25.5

then she buys 2 pair of pants for $22 because 2 x 11=22

so then 22 + 25.5 = 47.50

50.00- 47.50= 2.50

Solve the equation.
20 = –d + 16

A. –4
B. –6
C. 4
D. –10

Answers

The answer is C
I hope this helps!!!!
the answer is c (4) because 4+16=20

In 2010, total number of students in a school was 3200 and in 2011 it is increased by the ratio 6:5. Find the total number of students in 2011 in the school.​

Answers

Answer:

3321

Step-by-step explanation:

6+5=11

11*6=66

11*5=55

66+55=121

3200+121=3321

i have multiple question but for that i will give u lots of points and who ever gets it first ALL OF THEM will also get brainlest :)

1:




2:






3:






4:






5:

Answers

Answer:

1. slope is 1/2

2. slope is 1/3

3. slope is 2/3

4. slope is 3

5. y=3x-2

Step-by-step explanation:

Convert the following:
(a) 300 cm into metre​

Answers

Answer:

3m

Step-by-step explanation:

1 meter equals 100 cmWe know that [tex]1meter=100centimeters[/tex] Now how many (100 cm)'s are in (300 cm)'s? There are 3 right?So if every 100 cm is also a meter and there are 3 of these (100cm)s then they are just the same as 3 meters[tex]100cm=1m\\300cm=(x)m[/tex] cross multiply[tex]100cm(x)m=300cm1m[/tex] divide both sides by 100cm[tex](x)m=3m[/tex]

Answer:

Convert the following:

(a) 300 cm into metre

3 metres

Please help will mark brainliest if correct

Answers

Answer:

Step-by-step explanation:

ASA

An advertisement reads “All Books 28 Percent Off.” A best-selling novel is originally priced at $18.99. About how much money will Gio save if he buys the novel on sale?

Answers

Answer:

6dollars

Step-by-step explanation:

Answer:

the answer is B 6 dollars

Step-by-step explanation:

Given AC = LN and BA = ML, which statement must be true?

Answers

Answer:

BC<MN

Step-by-step explanation:

A.) how much does it cost to buy 5 tickets?


B.) How many tickets can buy with $130?

Answers

Answer:

A) $77.50

B) 8 tickets

Step-by-step explanation:

A) c(x) = 17.5x - 10

Substitute 5 for x

c(x) = 17.5(5) - 10

Multiply

c(x) = 87.5 - 10

Subtract

c(x) = 77.5

B) 130 is the cost, so substitute 130 for c(x)

130 = 17.5x - 10

Add 10 to each side to move the constants to one side

140 = 17.5x

Divide each side by 17.5 to isolate the variable

8 = x

7. 3х + 3 = 3(х + 1)

Answers

X=0
Hopefully this helps

How do I transform this into a zero?
PLS HEEELPPPP!!​

Answers

Answer:

-n=-3

Step-by-step explanation:

Round 4358 to the nearest thousand

Answers

Answer:

4,000

Step-by-step explanation:

You go to the thousand number and see if the hundred number is higher than 5, if not then its stays the same.

Answer:
4,000
Explanation:

Find the measure of Please helppp

Answers

Answer: 43

Step-by-step explanation: you add all of them up and then do 180- what you get which would be 180-137. It gives you 43.

Answer:

43 degrees

Step-by-step explanation:

straight lines equal 180 so u add all the angles together to reach 180 hope this helps

There is a snowstorm in a certain town. In 1/2 hour, there was 7/8 inches of snow. It continues at the same rate for a total of 2 hours. Which statement is true about the amount of snow in the 2-hour period

Answers

Answer:

Since I don't know the statements, I'm gonna guess that if there is 7/8 snow in 1/2 hour then in 2 hours there is 3.5 inches of snow or 28/8 inches of snow in 2 hours.

Step-by-step explanation:

Help plz:))) I’ll mark u brainliest
ASAP!!!

Answers

Answer:

46

x=46 degrees

44 degrees would be the answer for x

given g(x) √x-4 and h(x) = 2x - 8
what are the restrictions on the domain of g • h?

x ≥ ____

Answers

Answer:

6

Step-by-step explanation:

Given : g(x) =   and h(x)=2x-8.

g*h(x) =(2x-8).

We have square root(x-6) in composite function f*h(x).

So, we need to find the domain, we need to check for that values of x's, square root(x-4\6) would be defined.

Square roots are undefined for negative values.

Therefore, we can setup an inequality for it's domain x-6≥0.

Adding 4 on both sides, we get

x-6+6≥0+6.

x≥6.

Answer:

6

Step-by-step explanation:

Find the sum of the first 8 terms of the following series, to the nearest integer.
36, 30, 25, ...

Answers

Answer:

The sum of the first 8 terms will be:

[tex]\frac{1288991}{7776}[/tex]

Step-by-step explanation:

Given the sequence

[tex]36, 30, 25, ...[/tex]

A geometric sequence has a constant ratio and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

computing the common ratio

[tex]\frac{30}{36}=\frac{5}{6},\:\quad \frac{25}{30}=\frac{5}{6}[/tex]

[tex]r=\frac{5}{6}[/tex]

As the first element is

[tex]a_1=36[/tex]

so the nth term will be:

[tex]a_n=a_0\cdot r^{n-1}[/tex]

[tex]a_n=36\left(\frac{5}{6}\right)^{n-1}[/tex]

Geometric sequence sum formula

[tex]a_1\frac{1-r^n}{1-r}[/tex]

Plugin the values to determine the sum of the first 8 terms

[tex]n=8,\:\spacea_1=36,\:\spacer=\frac{5}{6}[/tex]

[tex]=36\cdot \frac{1-\left(\frac{5}{6}\right)^8}{1-\frac{5}{6}}[/tex]

[tex]=\frac{\left(1-\left(\frac{5}{6}\right)^8\right)\cdot \:36}{1-\frac{5}{6}}[/tex]    

[tex]=\frac{36\left(-\left(\frac{5}{6}\right)^8+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{36\left(-\frac{390625}{1679616}+1\right)}{\frac{1}{6}}[/tex]

[tex]=\frac{\left(1-\frac{390625}{1679616}\right)\cdot \:36\cdot \:6}{1}[/tex]

[tex]=\frac{216\left(-\frac{390625}{1679616}+1\right)}{1}[/tex]

[tex]=\frac{216\cdot \frac{1288991}{1679616}}{1}[/tex]

[tex]=216\cdot \frac{1288991}{1679616}[/tex]

[tex]=\frac{1288991\cdot \:216}{1679616}[/tex]

[tex]=\frac{278422056}{1679616}[/tex]

[tex]=\frac{1288991}{7776}[/tex]

 Therefore, the sum of the first 8 terms will be:

[tex]\frac{1288991}{7776}[/tex]

In △ACD, if AC ≅ AD, m∠A = (3x – 4)°, m∠C = (5x + 1)°, and m∠D = (7x – 27)°, find x and the measure of each angle. *

Answers

Answer:

x = 14

A = 38

B = 71

C = 71

Step-by-step explanation:

Since we have a triangle, the addition of the measure of all the measure of the angles give 180

Thus;

3x-4 + 5x + 1 + 7x-27 = 180

15x-30 = 180

15x = 180 + 30

15x = 210

x = 210/15

x = 14

To get the measure of each of the angles, we substitute for x

A = 3x-4 = 3(14) - 4 = 38

B = 5x + 1 = 5(14) + 1 = 70 + 1 = 71

C = 7x - 27 = 7(14) - 27 = 98-27 = 71

ILL GIVE BRAINLIEST PLEASE ANSWER THIS FAST FAST FAST
Drag each set of coordinates to the correct location on the table. Not all coordinates will be used.
Points that two lines pass through are given in the table. Match each point of intersection to the correct pair of lines.
(2, 0)
(-1, 3)
(1, 0)
(-1, -3)
(0, 2)
(-3, -1)

Answers

You go -3 -1/-3 -1/3 0 2/0 so the number that are negative are further away from 1 so list it by that and for positive list like normal

Answer:

1. No solution.

2. (-1,3)

3. (2,0)

4. (1,0)

Step-by-step explanation:

Hope it helps.

Other Questions
Question #1Multiple SelectWhich collections can contain duplicate items?dequeO datasetO listtupleorganizer I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh? please help if you can. what is the protagonists main motivation in the story condensed milk Explain how the members of the legislature are chosen. maikling reaksyon tungkol sa kasaysayan ng wikang pambansa Simplify.(6x5+4x^2)+(2x2) HELP ASAP!right answer Ill give you a crown x^2 - x -12 < 0 a) {-3} b) (-infinity, -3) u (3, infinity)c) (-3, 4)d) [-3, 4] Alonzo raises sheep and goats. Alonzo sells each sheep for $125 and each goat for $75. Alonzo raised 14 sheep and goats this year and sold them all for a total of $1,500. How many sheep and how many goats did Alonzo sell? Read this passage about Christopher Reeve.Christopher Reeve was born on September 25, 1952, in New York City. His mother was a journalist, and his father was a professor. As a kid he played sports, did well in school, and liked acting. His passion for acting goes back to playing with his brother when they were little. Reeve acted in his first play at the age of nine. After attending college, taking acting classes, and acting in many plays and movies, Reeve landed his biggest role. In 1978, he played the title role in Superman. He received very positive reviews for his performance and starred as Superman in all the sequels. Reeve was soon acting as the lead role in dozens of movies after Superman. Once well-known, Reeve used his celebrity status for good causes, such as visiting very sick children through the Make-A-Wish foundation. He was also a track and field coach at the Special Olympics.Besides acting, Reeve was also a licensed pilot and liked horseback riding. He learned to ride horses for a movie role, and he continued riding in his free time. Unfortunately, while riding one day in 1995, Reeve fell from his horse and became paralyzed from the neck down. Being confined to a wheelchair did not hold back Reeve from being socially active, and after many surgeries and rehabilitation, he decided to dedicate his life to helping people with spinal-cord injuries. He created the Christopher Reeve Foundation, which supports the improvement of the lives of people with disabilities and helps fund research to find a cure for paralysis. He was also politically active, working with senators to make sure that people with disabilities were treated fairly in the workplace. Reeve received many awards for his dedication to public service. He also wrote two books about his experiences, and a documentary was made about his life. Reeve passed away in 2004, but his legacy lives on today. He touched the lives of many people and showed us what it means to overcome extreme odds by never giving up.Which fact about Reeve best displays the qualities that make him a good candidate for a "Most Devoted" honor in a yearbook?A) Reeve fell from his horse and became paralyzed from the neck down.B) Reeve passed away in 2004, but his legacy lives on today.C) He decided to dedicate his life to helping people with spinal-cord injuries.D) Christopher Reeve was born on September 25, 1952, in New York City. im really badat this stuff anyone knows the answer I dont know where to use akk. Or dat. Amaya is excited to go to the used video game store to buy a game system later today. The game system usually costs x dollars, but today it's on sale at 15% off! Enter an expression that represents the sale price of the game system after the discount. what happens during metaphase 1 that leads to genetic variation? What is the Delta.Hf for this reaction? 16CO2(g) + 18H2O(g) Right arrow. 2C8H18(l) + 25O2(g) Evaluate the expression when a=3 and b= 19.b-4a Question 9 of 12Which statement best completes the diagram?CauseEffect?Daoism calls forchanges in ChinesesocietyA. Chinese society focuses on harmony with nature.B. Chinese society calls for people to find inner peace.C. Chinese society focuses on rules and rituals.D. Chinese society demands that people seek balance, PLEASE HELPPPTranslation to SpanishI have as much money as Bill Gates.Tengo tan Tengo tanta Tengo tantodinero como Bill dinero como Bill dinero como BillGates.Gates.GatesTengo msdinero que BillGates. you are Subah / Krishna Mohanty residing in Subhadra Apartments, Bhubaneswar,Orissa. you have observed,with increasing concern that garbage collection continues to be done without secretion in your neighborhood write a letter to the editor of the real-time Bhubaneswar in about 120 - 150 words,explaining your concern along with the rationale behind the importance of garbage segregation suggest ways in whichever the R.W. A s can participate in this program .pls can anyone answer fast