What is the solution of the system of equations?

y = –3x + 7
y = 2x – 8

Answers

Answer 1

Answer:

(3,-2)

Step-by-step explanation:

The easiest way to solve this is to realize that in both equations, the ys must have the same value. So the right side of each equation can be equal.

-3x + 7 = 2x - 8            Add 8 to both sides

-3x + 7 + 8 = 2x           Combine

-3x + 15 = 2x                Add 3x to both sides

15 = 2x + 3x                 Combine and exchange sides

5x = 15                         Divide by 5

x = 15/5          

x = 3

Use y = 2x - 8 to solve for y

y = 2(3)  = 8

y = 6 - 8

y = - 2


Related Questions

Traveling at 55 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 310 miles from Boston to Syracuse?

6

338

365

3,300

Answers

Answer:

338

Step-by-step explanation:

55miles/h,

it would take 310/55 =62/11 h to reach syracuse

62/11 h = 338.181818mins ≈ 338mins

338 because it is the right answer

A rectangular hockey field is 50m long and 35m wide calculate the length of it's diagonal​

Answers

Answer:

length=50m

width=35m

diagonal=?

using Pythagoras theorem

where c=diagonal,a=length(50m),b=width(35)

c² =a² + b²

c² =(50)² + (35)²

c² =2500+1225=3725

Taking square root on both sides

c=61m

Therefore the diagonal is 61m

HELP PLEASE !! REAL ANSWER ONLY

find the surface area of the cylinder round to the nearest tenth ​

Answers

Answer:

CSA is 12.57

TSA is 18.85 .. i dont know what the question is asking..

I will recommend you to use TSA

Answer:

19ft

Step-by-step explanation:

Formula for surface area of the cylinder=2πr(r+h)

We have,

h=2ft

d=2ft

r=d/2=2/2=1ft

Now,

2πr(r+h)=2π*1(1+2)=2π*1*3=6π=18.8495559215

Rounding to the nearest tenth,

We get Surface area of the cylinder=19 ft

Solve the equation step by step

Answers

Let x be the amount of salt in the solution.

At day's end, the concentration of salt in the beaker is

x / (4 L) = 0.08 = 8%

Solve for x to get

x = 0.08 (4 L) = 0.32 L

So at the beginning, the concentration of salt in the beaker was

(0.32 L) / (5 L) = 0.064 = 6.4%

please help me please i will give brainliest

Answers

Answer:

I think It would be A

Step-by-step explanation:

Answer:

i think its A

Step-by-step explanation:

(if its not im sorry :( )

If the distance between the points (2, -2) and (-1, x) is 5, one of the values of x is

Answers

We know

[tex]\boxed{\sf Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}[/tex]

ATQ

[tex]\\ \sf\longmapsto \sqrt{(-1-2)^2+(x+2)^2}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-3)^2+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{9+x^2+4x+4}=5[/tex]

[tex]\\ \sf\longmapsto \sqrt{x^2+4x+13}=5[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13=5^2=25[/tex]

[tex]\\ \sf\longmapsto x^2+4x+13-25=0[/tex]

[tex]\\ \sf\longmapsto x^2+4x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2+6x-2x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x+6)-2(x+6)=0[/tex]

[tex]\\ \sf\longmapsto (x-2)(x+6)=0[/tex]

[tex]\\ \sf\longmapsto x=2\:or\:x=-6[/tex]

what is the meaning of EMI calculation​

Answers

What Is an Equated Monthly Installment (EMI)?

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

Answer:

equated monthly installment

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full.

Step-by-step explanation:

An equated monthly installment (EMI) is a fixed payment amount made by a borrower to a lender at a specified date each calendar month. Equated monthly installments are applied to both interest and principal each month so that over a specified number of years, the loan is paid off in full. In the most common types of loans—such as real estate mortgages, auto loans, and student loans—the borrower makes fixed periodic payments to the lender over the course of several years with the goal of retiring the loan.

I am a 4 digit number all my digits are different they add up to 20 the hundred's digit is double than the one's digit

Answers

Answer:

- 2864

Step-by-step explanation:

Given that,

The number is of 4 digits

All are different

The sum of the 4 digits = 20

Hundred's digit is twice than one's digit

A.T.Q.

Let the unit digit be 4. So, the hundred's digit would be 4 * 2 = 8

Now, we have

_8_4

We know that the sum of four digits is 20. Thus,

_ + 8 + _ + 4 = 20

∵ _ + _ = 20 - 12 = 8

The possible numbers must make a sum of 8. Thus, one possibility can be 2 and 6.

Therefore, the number can be

2864  

( 2 + 8 + 6 + 4 = 20)

adebook
Homework:
Homework 1
Save
Question 11, 1.1.87
HW Score: 76.92%, 10 of 13 points
Score: 0 of 3
>
cents
Shannon, who is paid time-and-a-half for hours worked in excess of 40 hours, had gross weekly wages of $551 for 52 hours worked. What is her regular hourly rate?

Answers

Answer:

frnddcchdddssjegtgeeusiss ehejsbdvbsjwjgebee e e e e r ytjrbehww

Answer:

$9.5

Step-by-step explanation:

40x+12*1.5x=551

40x+18x=551

58x=551

58x/58=551/58

x=9.5

I put 40x to represent her normal rate when she isnt working overtime which is over 40 hours. And then I put 12*1.5x which is broken down into two parts, 12 represent the amount of overtime hours worked 12 hours overtime (52-40=12) and 1.5x represents the time-and-a-half (which if you didnt know is where you get paid 1.5 times your hourly wage each hour worked overtime). And when you solve this equation you get 9.5 hours an hour as her regular hourly rate

Is it possible to build a triangle with side lengths of 3, 3, and 9?

Answers

Answer:

N0

Step-by-step explanation:

The sides of a triangle must be

a-b< c< a+b  where a and b are the two smaller sides and c is the larger side

3-3 <9< 3+3

0<9<6

This is not true so it cannot make a triangle

answer:

no

step-by-step explanation:

each side must be smaller than the sum of other sides

so

9+3>3-right

3+3<9-wrong

Is (3,8) a solution to the inequality 14x + 12y = 12?

Answers

Answer:

No

Step-by-step explanation:

14x + 12y = 12

(3, 8)

14(3) + 12(8) = 12

42 + 96 = 12

138 = 12

A ladder that is 17 feet long is 8 feet from the base of a wall. How far up the wall does the ladder reach?

Answers

H=17ftB=8ft

Using Pythagoras theorem

[tex]\\ \Large\sf\longmapsto P^2=H^2-B^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=17^2-8^2[/tex]

[tex]\\ \Large\sf\longmapsto P^2=289-64[/tex]

[tex]\\ \Large\sf\longmapsto P^2=225[/tex]

[tex]\\ \Large\sf\longmapsto P=\sqrt{225}[/tex]

[tex]\\ \Large\sf\longmapsto P=15ft[/tex]

Answer:

Applying the Pythagorean theorem we have :wall length is : a²-b²=c²⇒17²-8²=c²⇒c=15(c>=0)

Step-by-step explanation:

we have : the length of the ladder is the hypotenuse of the triangle ; the length of the ladder, which is far from the wall, is the right angle side of the triangle (draw your own illustration)

Y = 2x + 3

(2, 7)

(1, 3)

(-3, 6)

(0, 2)

Answers

Answer:

(2,7)

Step-by-step explanation:

Can SOMEONE PLEASE HELP ME? I really need to get this work done by tonight. PLEASE

Answers

All triangles add up to 180 degrees so you’ll need to figure out what the two numbers you already have add up to then figure out the leftover and that’ll be your answer xx

Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q

unwanted ans will be reported

Answers

If it has infinite solutions

[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]

[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]

[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]

[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]

[tex]\\ \sf\longmapsto -p-q=6[/tex]

[tex]\\ \sf\longmapsto p+q=-6[/tex]

[tex]\\ \sf\longmapsto p=-6-q[/tex]

Take p as 1

.q=-6-1=-7

How is adding and subtracting radical expressions similar to adding and subtracting variables ?????

Answers

Answer: To add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.

Answer:

combining like terms. if the radicand is the you can combine the radical. this is the same as combining variables as long as the variable is the same if that makes sense

Step-by-step explanation:

so like you can add 7a and 3a because they have the same variable a. you can combined 2 root 2 and 4 root 2 because the radicand is same <3

If the fourth term in a geometric sequence is –1 and the common ratio is –1, find the explicit formula of the sequence.

A)

an = (1) ⋅ (–1)n – 1 for n ≥ 1

B)

an = (– 1) ⋅ (1)n – 1 for n ≥ 1

C)

an = (–1) ⋅ (–1)n – 1 for n < 1

D)

an = (1) ⋅ (1)n – 1 for n ≥ 2

Answers

Answer:

Hello,

Answer A

Step-by-step explanation:

[tex]a_4=-1\\q=-1\ common\ ratio\\\\a_4=a_1*q^3\ -1=a_1*(-1)^3 \Longrightarrow\ a_1=1\\\\\\\boxed{a_n=1*(-1)^{n-1}}\\\\\\Since \ all \ formula\ are\ so\ bad\ written,\ I\ suppose\ that\ the\ answer \ is \ A\\[/tex]

Answer:

 

an = (1) ⋅ (–1)n – 1 for n ≥ 1

Step-by-step explanation:

took the test and got it right

hope this helps

suppose the function g(x) doubles the square of the input and then subtracts 13. what is g(3)?

Answers

Given:

The function [tex]g(x)[/tex] doubles the square of the input and then subtracts 13.

To find:

The value of [tex]g(3)[/tex].

Solution:

Let [tex]x[/tex] be the input value.

The square of the input is [tex]x^2[/tex].

Doubles the square of the input [tex]2x^2[/tex].

Doubles the square of the input and then subtracts 13, i.e., [tex]2x^2-13[/tex].

So, the function is:

[tex]g(x)=2x^2-13[/tex]

Putting [tex]x=3[/tex] in the above function, we get

[tex]g(3)=2(3)^2-13[/tex]

[tex]g(3)=2(9)-13[/tex]

[tex]g(3)=18-13[/tex]

[tex]g(3)=5[/tex]

Therefore, the value of [tex]g(3)[/tex] is 5.

SHOW YOUR STEPS PLEASE. SOMEONE PLEASE HELP ME I NEED THE ANSWER ASAP!!!

The cost, c(x), in dollars per hour of running a certain steamboat is modelled by the function c(x)=1.7x^2-13.6+166.4, where x is the speed in kilometres per hour. At what approximate speed should the boat travel to achieve minimum cost? what is the minimum cost?​

Answers

Answer:

x = 4

139.2

Step-by-step explanation:

Given the Cost function :

C(x) = 1.7x² - 13.6x + 166.4

To achieve minimum cost ;

dc/dx = 0

dc/dx = 2(1.7)x - 13.6

3.4x - 13.6 = 0

3.4x = 13.6

x = 13.6 / 3.4

x = 4

To achieve minimum cost, speed = 4 ;

Minimum cost will be :

C(x) = 1.7x² - 13.6x + 166.4

Put x = 4

C(4) = 1.7(4)² - 13.6(4) + 166.4

C(4) = 27.2 - 54.4 + 166.4 = 139.2

Minimum cost = 139.2

a microwave oven has a capacity of 1.59ft³. the interior of the microwave of the is 14 in wide and 14 in deep. what is the height of the interior of the microwave, to the nearest tenth of a foot​

Answers

Step-by-step explanation:

The easiest way to do this is to imagine the microwave as a box. Ignore the turntables, whether or not something will spin if it touches an edge, and anything else that would make the fact that we're talking about a microwave confusing. This is a box now. :)

The capacity of our box is 1.59 ft^3, which means it can hold that much of "things" inside it. Instead of a capacity, we'll think of it as the box's total area. A tricky thing to note, is the area is given in ft, where the interior values are given as inches. So we'll need to turn the inches into feet.

To get the area of a box, we do length x width x height.

We're already given the length, 14 (inches), and the width, 14 (inches), so all we need to find now is the height (feet). To turn the lengths into feet, we'll divide them by 12, because there are 12 inches in 1 foot, or Feet = Inches / 12.

To finally turn it into math:

Area (A) = length (L) * width (W) * height (H)

[tex]A = L * W * H[/tex]

Insert known values.

[tex]1.59 = \frac{14}{12} * \frac{14}{12} * H[/tex]

Multiply.

[tex]1.59 = \frac{196H}{144}[/tex]

Simplify.

[tex]1.59 = \frac{49H}{36}[/tex]

Multiply both sides by 36.

[tex]1.59*36 = \frac{49H}{36}*36[/tex]

Simplify.

[tex]57.24 = 49H[/tex]

Divide both sides by 49.

[tex]\frac{57.24}{49} = \frac{49H}{49}[/tex]

Simplify.

[tex]1.16816326... = H[/tex]

To turn make this the nearest Tenth, we round up to the first decimal place.

Answer:

H = 1.2 ft

Mrs. Helton is making gift bags as prizes for her math classes.  She has 30 little bags of Hershey Kisses and 15 Blow Pops.  What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?​

Answers

Answer:

3

Step-by-step explanation:

I LOVE CANDY hope it helps 45/3 is hte gretaets factor the answer is 3.. i think

Answer:

45 gift bags.

Step-by-step explanation:

take 30 and divide it by 15. your answer is 2. 2 hk bags and 1 blow pop is equal to 3. so you would multiply 3 by 15 to get your conclusion

hi pls help. pls explain a bit:) thank you

Answers

Answer:

i think this is right i’m sorry if not :)

What is the value of x in the figure below? In this diagram, AABD ~ ACAD.
15
B
х
20

Answers

Answer:

E

Step-by-step explanation:

(leg of big triangle)² = (part of hypotenuse below it) × (whole hypotenuse)

15² = x × 20

225 = 20x ( divide both sides by 20 )

[tex]\frac{225}{20}[/tex] = x , that is

x = [tex]\frac{45}{4}[/tex] → E

The value of the x in the given triangle is 45/4.

What are similar triangles?

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Given is right triangle ABC, divided into two more right triangles, ADC and ADB, also, triangle ABD ~ triangle CAD.

Therefore, according to the definition of similar triangles, the corresponding sides are in proportion.

we have,

CA / CB = CD / CA

15/20 = x/15

x = 15²/20

x = 225/20

x = 45/4

Hence, the value of the x in the given triangle is 45/4.

Learn more about similar triangles click;

https://brainly.com/question/14926756

#SPJ7

1. Find the ratio of of 25cm and 1m .
2. Find the product of (a + 4)(a − 4).

Answers

Answer:

1..

solution....

here given

25cm

1m=100cm

now,

25/100=1/4

1:4

2....

(a+4)(a-4)

a^2-4^2

a^2-16

Step-by-step explanation:

hope it will help you

determine the general term of this sequence -15:-11;-7;,,173

Answers

Answer:

UWUNOE BRO HUUZEM HIHUDHS

Step-by-step explanation:

Which is a y-intercept of the continuous function in the
table?
х
-2.
-1
0
1
2.
3
f(x)
15
10
5
0
-5
-10
O (5,0)
O (0, 1)
O (0,5)
O (1,0)

Answers

Answer:

(0,5) --> 5 is the y intercept

Step-by-step explanation:

Give 6 x,y pairs you look for the pair with x=0 to find the y intercept,

SO that would be the 3rd set or (0,5)

The y-intercept of the function is A = ( 0 , 5 )

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Now , the x values of the function are

x = { -2 , -1 , 0 , 1 , 2 , 3 }

And , the y values of the function are

y = { 15 , 10 , 5 , 0 , -5 , -10 }

And , the y intercept of the function is when the value of x = 0

So , when x = 0

y = 5

Hence , the y-intercept is ( 0 , 5 )

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7

Plz help me ASAP TwT

Answers

Answer:

Angle CBA

Step-by-step explanation:

It would be CBA because Angle 1 is between those 3 points. Angle 1 is where B is so B would have to go in the middle.

Hope this helps :)

1-2. Roel earns P 8,000 per month as basic salary. In addition, he earned P 5,725.50 as commission and P 852.50 as overtime pay in January. How much did he earn that month?

3-4. A biscuit factory originally packaged 0.65kg of crackers. To increase profitability, the company reduced the weight by 0.035 kg with a more affordable price. What is the new weight per pack of crackers?

Answers

Answer:

a. he earn 14578.00 in that month.

trigonometric identities

Answers

With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.

Then from the Pythagorean identity, it follows that

sin²(θ) + cos²(θ) = 1   ==>   sin(θ) = -√(1 - cos²(θ))

and so

sin(θ) = -√(1 - (-8/13)²) = -√105/13

Recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169

Can someone help please

Answers

Answer:

[tex]10^{-3}[/tex]

Step-by-step explanation:

Answer:

https://tex.z-dn.net/?f=10%5E%7B-3%7D

Step-by-step explanation:

Other Questions
1.Find x,y and z in the figure. 2. find the x and y in the figure Solve the problem below where X=4 3X+7= 16) Hadmy driving license, youthe first to know. *a) gotten, would beb) get, would have beenc) got, would have beend) had got, would be You and your friends have tickets to attend a music concert. While standing in line, the promoter states he will give a gift card for a free album download to each person that is a multiple of 2. He will also give a backstage pass to each fourth person and floor seats to each fifth person. Which person will receive the free album download, backstage pass, and floor seats? Explain the process you used to determine your answer. I dont really understand thisSteps: Calculate MU/PCompare MUx with MUyChoose highest MUContinue until you spend all of your money What kind of incentives are most likely to motivate you? Collective or individual? Monetary or nonmonetary?Why Individuals with personality disorders exhibit a personality style that is inflexible, causes distress and impairment, and creates problems for themselves and others.a.Trueb.False All the employees were asked ..the meeting on Saturday. A.attend B.attended C.attending D.to attend' Please help its urgent:11. A fish tank has dimensions 3 feet by 2 feet by 1.5 feet. Two feet is the height of the aquarium. If the tank is not filled all the way and there are two inches of empty space at the top, how many cubic inches of water are in the tank? (7 points) im not sure how to show my work hi everyone,what's is climate change.hope its easy for u all think u Tha length of a side of equilateral traingle is give below. find the perimeter of trainglesi. l=4cmii. 5.5 cm subrayar los enunciados Soy un lpiz, el ordinario lpiz de madera, familiar para todos los nios, nias y adultos que saben leer y escribir. Escribir es mi vocacin y mi distraccin; eso es todo lo que hago. Puede preguntarse por qu debera escribir una genealoga. Bueno, para empezar, mi historia es interesante. Soy un misterio, ms que un rbol o una puesta de sol o incluso un relmpago. Pero, lamentablemente, los que me usan me dan por hecho como si fuera un mero incidente sin antecedentes. Esta actitud arrogante me relega al nivel de lo cotidiano. Esta es una especie del error grave en el cual la humanidad no puede persistir demasiado tiempo sin peligro. Porque, tal como el sabio G. K. Chesterton observ: Estamos pereciendo por falta de asombro, no por falta de maravillas. A woman is 42years old. Her daughter is 1/3 of her age. Three years ago the sum of her age was Factor Z squared minus 3Z -18 if x-y =2 and xy=15, find the value of x cube - y cube. write the questions for the underlined words. i met my cousin yesterday -> Whom did you meet yesterday?. the Muong inhabited viet nam thousands of years ago -> _____________________ Give reason.b} String roller is an example of wheel and axel .Why? find the squre of 17[tex] \sqrt{17} [/tex] Frank is a 60- year-old man who is well-loved in his community since he was a boy. He is someone who is outgoing, a party lover, and love to have fun hanging out with peers. Frank is confident about life. From an early age he knew exactly what he wanted to become, and now as a man, he is confident about his career and family and want to leave them a good life when he departs this life. Frank express that he is not afraid of dying but he wants them to be ok when he is gone. At work Frank is helpful to his colleagues, and even in his community he is well-known among the elderly since he is always putting on Christmas treats for them. Imagine that Frank is your colleague, and that your boss asks you to write a character reference for Frank. Using Jungs personality theory to guide your writing, present a minimum one- page character reference in which you spell out Franks behaviour, his outlook on life, his philosophy about people and all the other important things you know about him. Ensure you point out how these different parts of Franks life fits into Jungs theory and overall what Jungs theoretical concept says about him. (20 mks) 5(2x-5) = 1/2(18x+40)