Given: 8x - 3y= -21, 3x + y = -10; prove x= -3

Answers

Answer 1
8x-3y=-21
3x+y=-10

Substitute the value of y
8x-3y=-21
y=-10-3x

8x-3(-10-3x)=-21

x=-3

Related Questions

1. 4x^2 +3x+2 and 7x^2+7x+3​

Answers

Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

Enlarge triangle ABC by scale factor -2, centre (4,2)

Answers

Answer:

  see attached

Step-by-step explanation:

The scale factor of -2 means each point on the preimage will be reflected across the center of dilation a distance twice its distance to that center.

For example, point B is 2 units right and 1 unit down from the center of dilation. Its image will be 4 units left and 2 units up from the center of dilation, so will have coordinates B'(0,4).

C is 1 unit right of B, so C' will be 2 units left of B', at C'(-2, 4).

A is 4 right and 1 up from the center, so A' will be 8 left and 2 down from the center, at A'(-4, 0).

(x-4)^2-(x-4)(x+3)=35

Answers

Answer:

Step-by-step explanation:

(a - b)² = a² - 2ab + b²

(x -4)² - (x - 4)(x +3) = 35

x² - 8x + 16 - [ x(x +3) - 4(X +3)] = 35

x² - 8x + 16 - [x² + 3x - 4x - 12 ] = 35

x² - 8x +16 - [ x² -x - 12] = 35

x² - 8x + 16 -x² + x + 12 = 35

x² - x² - 8x + x  + 16 + 12 = 35   {Combine like terms}

-7x + 28 = 35

-7x = 35 -28

-7x = 7

x = 7/-7

x = -1

I need a helping hand please
Joseph compared the graphs of two functions.

The first function was f(x)=−2x+6.
The second function fits the values in the table:
x 2 5 8 11
y 2 -4 -10 -16
What is the distance between the y-intercepts of the two functions? To earn full credit, show your work using a method explained in the Orientation.

Answers

Answer:

There is no separation (distance) between the first y-intercept (6) and the second (6).

Step-by-step explanation:

We'll assume that the table shows points on a straight line.

If we go from x = 2 to x = 8 (an increase of 6), the corresponding y values go from y =2 to y = -10 (a decrease of 12).  Thus, the slope of the line represented by the table is

m = rise / run = -12/6, or m = -2.

We need to find the equation of the line represented by the table, so that we can know the y-intercept.  Start with y = mx + b and substitute -2 for m:

y = -2x + b.  We arbitrarily choose an ordered pair from the table, such as (11, -16).  Here we substitute 11 for x and -16 for y:

-16 = -2(11) + b, or

-16 = -22 + b, which yields b = 6.

This is the same y-intercept as the '6' in the given f(x) = -2x + 6.  So:  There is no separation (distance) between the first y-intercept (6) and the second (6).

A simple random sample of 40 salaries of NCAA football coaches has a mean of $415,953. Assume that σ = $463,364. Construct a 95% confidence interval estimate of the mean salary of an NCAA football coach.

$346,352 < μ < $485,554

$295,433 < μ < $536,473

$272,355 < μ < $559,551

$415,952 < μ < $415,954

Answers

Answer:

ci = [271,953 , 559,953]

Step-by-step explanation:

x = mean: $415953

z = 95% : z value of 95% is 1.960

s = standard deviation = $463364

n = number of observations: 40

X +- Z * S/sqrt N

415953 + - 1.96 * 463364/sqrt40

= 415953 + - 144000

[271,953 , 559,953]

Answer:

$272,355 <μ< $559,551

Step-by-step explanation:

Gradpoint

Pls help me with this!!

Answers

Answer:

76 quarters, 3 dimes

Step-by-step explanation:

if the whole number is 19, you would have to figure out how many quarters would be in 19$. 76 quarters are in 19$. then you would have to figure out how many dimes are in 30 cents, there are 3 dimes in 230 cents

Answer:

66 Quarters and 28 dimes

Step-by-step explanation:

.10d + .25Q = 19.3Q

d + Q = 94

so d = 94 - Q

Substitution method:

.10(94 - Q) + .25Q = 19.30

9.4 - .10Q + .25Q = 19.30

9.4 + .15Q = 19.30

.15Q = 9.9

Q = 66 so d = 94 - 66 = 28

what is 5x5? please help

Answers

Answer:

25

Step-by-step explanation:

That's a simple question.

Step-by-step explanation:

Just do it like 5 plus 5 (five times)

5+5+5+5+5=25

(-11)-8+(-7)-(-14)
Answer

Answers

(-19) -7 +14= -26+ 14 = -12

Consider the following incomplete deposit ticket: A deposit ticket. The amounts deposited were 782 dollars and 11 cents and 564 dollars and 64 cents. The subtotal was 1346 dollars and 75 cents. The total after cash received is 888 dollars and 18 cents. How much cash did Liz receive? Please select the best answer from the choices provided $458. 57 $670. 71 $323. 54 $1,805. 32.

Answers

Answer:

323

Step-by-step explanation:

Answer:

its $458.57 on edg

Step-by-step explanation:

Jasmine grandma gave her 7$to spend at a yogurt stand the frozen yogurt and toppings cost 0.45$ she also buys a bottle of water for $2.50 how many x-ounces of yogurt and toppings can jasmine afford?

A.x<4.3

B.x<10.0

C.x<15.6

D.x<21.1


Plz hurry!

Answers

Answer:

B

Step-by-step explanation:

solved using calculator.

7-2.50:4.5

4.5 - 0.45 is 10.0

ez dubs man

An item is regularly priced at $55 it is now priced at a discount of 65% of the regular price

Answers

Answer:

$19.25

Step-by-step explanation:

Multiply 55 dollars by .65 to get the amount of money that is being dropped. 65% of 55 dollars is 35.75

Now subtract the original amount (55 dollars) by 35.75 dollars to get 19.25 dollars.

An easier way to do this is just by multiplying 55 dollars by the amount or percentage that is left so you multiply 55 by .35 and you will get the same answer.

Plzzzzz help meeeeeeee plzzzzz

Answers

Answer:

1) The profit made is $560.

2) Don't know sorry!!

3) A student will pay $1134 for a calculator.

Step-by-step explanation:

what is an estimate for the square root of -93

Answers

Answer:

approximately 9.64

Step-by-step explanation:

The square root of 93 is approximately 9.64.

Answer:

9.3 or 9.4

Step-by-step explanation:

We need to estimate √93.

Use formula below:

[tex]\sqrt{x^2+y} =x +(x/2y)[/tex]

or

[tex]\sqrt{x^2-y} =x -(x/2y)[/tex]

In the given case the formula works as:

[tex]\sqrt{93} =\sqrt{9^2+12} =9+(9/2*12) = 9+(9/24)=9.4[/tex]

or

[tex]\sqrt{93}=\sqrt{10^2-7} =10-(10/2*7)=10 - 5/7 = 9.3[/tex]

American society is made up of people of the same cultural background.



Please select the best answer from the choices provided


T

F

Answers

Answer:

false

Step-by-step explanation:

Could someone help me solve for this question? I have a hard time

Understanding. Thanks, the question is


Which statement describes the end behavior of the exponential equation y = 3^x?

A as x -> - ♾ , y -> - ♾

B as x -> - ♾ , y -> 0

C as x - > ♾ , y -> - ♾

Answers

Answer:

the answer is b ok understand

A person wins $25,000 on a game show and a trip to Costa Rica worth $5,700. Does he have any tax obligation from these winnings?

Answers

Answer:

Yes

Step-by-step explanation: All of these winnings become part of his gross income.

Which of the following is equivalent to 16 3/2

Answers

Answer:

b is the answer because I don't know what to do with it and

Last week, Pauline worked 35 hours and made $280. The boss at Pauline’s company makes $600 a week. How many hours would Pauline need to work to make $600?

Answers

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

Learn more here: https://brainly.com/question/3796978

Answer:

Step-by-step explanation:

if a:b=3:4 and b:c=2:5 find i)a:c and II) a:b:c​

Answers

Answer:

a:c= 3/5 = 0.6

a:b:c= 3/4/5=0.15

5. The lengths of the sides of a triangle are x, 2x + 1 and 5x + 4 inches. If the perimeter is 53
inches, what is the value of x?
Equation: Xt2x+/+5x+4-53
Solution:

Answers

Answer:

x = 6

Step-by-step explanation:

The perimeter is the sum of the 3 sides

Sum the 3 sides and equate to 53

x + 2x + 1 + 5x + 4 = 53 , simplify left side

8x + 5 = 53 ( subtract 5 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

question is in picture

Answers

65 not isosceles
55 isosceles
60 isosceles.

PLEASE HELP I NEED THIS QUESTIONS TO PASS THE CLASS

Answers

Answer:

I : 5x + 7

M: 49x - 20

Y: [tex]x^{2}[/tex] + x + 5

P: 4x + y + 4

L: 2[tex]x^{2}[/tex] + 4x

F: -30x + 33

I: 51x - 65

It costs $11 for 15 granola bars.

What is the unit price, in dollars per granola bar, rounded to the nearest hundredth?

Answers

Answer:

0.73

Step-by-step explanation:

help pls ! i need to do this and i cannot figure this out

Answers

I think it’s 8 too!!!
With them being similar I noticed the bigger triangle is 18 and the second is 12. So the smaller triangle was shrink by 1/3 which give 1he 12 for the bigger triangle you take 1/3 away in which your left with 8.

The local softball field has a lemonade stand. The graph shows the amount that of money in the cash register of the lemonade stand

1. What is the y-intercept?

2.What dose the y-coordinate of the y-intercept of the function represent

3. What is the slope

4What dose the slope of the function represent

Answers

Answer:

Cant tell you without data

Step-by-step explanation:

I think of a number. I add 7, divide by 6, add 1 then square it. I get 9. What was my number?

Answers

Answer:

5

Step-by-step explanation:

Start with 9. Then do the opposite operation starting from the end.

9

√9 = 3

3 - 1 = 2

2 × 6 = 12

12 - 7 = 5

Answer: 5

Find the 59th term of the arithmetic sequence 26, 17, 8, ...26,17,8,

Answers

Step-by-step explanation:

arithmetic sequence means that every new term is created by adding a certain constant to the previous term.

we clearly see, that constant here is -9.

we start with 26.

a1 = 26

a2 = a1 - 9 = 26 - 9 = 17

a3 = a2 - 9 = a1 - 2×9 = 26 - 18 = 8

so, we see

an = an-1 - 9 = a1 - (n-1)×9 = 26 - (n-1)×9

a59 = 26 - 58×9 = -496

PLEASE HELP ME INSTANTLY I WILL GIVE A BRAINLY AND A THANKS

Answers

Answer:

1.the first one is the distance from home

2. is 91

3.increases by 91 i belive tht should be correct

Step-by-step explanation:

Mike has $84 less than three times as much as Dave. Together they have $132. How much money does Mike have?

I have to use either the system of equation strategy of elimination or substitution to solve this. I realize that the first equation is
m + d = 132. But I don’t get what the second equation should be!

Answers

Answer: $48

Step-by-step explanation:

132 - 84 = 48

Ezra and Benji are playing the game with Harrison. After Ezra doubles his hand's value, he has a total of -12.5 points. What was his hand's value before
he doubled it?

Answers

-6.25
half of -12.5 is -6.25
Other Questions
If the alleles of two different genes are present on the same chromosome, the closer they are to each other the more likely they are to ________________________________ during gamete production. What is the slope for 1,60,2,120,3,180,4,240 One day, Fiona and Heidi each bought coins at a coin shop. The equation f(x)=3x 12 represents the value of Fionas coin, in dollars, x years later. The graph shows the value of Heidis coin, in dollars, x years later. Select from the drop-down menus to complete the statement. When they bought their coins, Choose. Coin was worth Choose. More than Choose. Coin. A recipe for cinnamon rolls calls for 3 cups of flour for every cup of water. Using the same recipe, how much water will you need for 5 cups of flour? How many cups of water will you need for 5 cups of flour? What is the equation of the line that passes through (0, 3) and is perpendicular to y = = x + 5?5 mWhich of the following correctly describes the Europe First strategy?.It was a US foreign policy to let Europe handle the war by itself without US assistance.O B.It was an agreement among allies to end the war in Europe before the war in the Pacific.O C.It was a policy among European countries to remain neutral in wars outside the continent.OD.It was a US immigration policy prioritizing European immigrants over Asians or others. It is most commonly used for self-running presentations. A. Slide TransitionB. HyperlinkC. Action ButtonsD. Animation how does the author develop the theme through the passage a)through the father's story telling b) through brayden's evolving thoughts and actions c) through an extended metaphor about conservation d) through diction and figurative language What is the first step in the design process where you identify a problem that exists and gather information? Why the Constitution grants the president the power only to pass or veto a whole bill and not just parts of it? 2. What other things need to happen in order for a newcorrectional paradigm to be transformed andembraced? Qu son parte de la historia y cultura espaola? La msica flamenca. El Jarabe Tapato. La novela Don Quixote. El arte del Greco y Picasso. La cultura Azteca. Write a real-life word problem that can be solved using the system of inequalities below. Be sure to define the variables. x + 4y < 400 x + 6y > 400 Scoring Rubric Scoring Rubric Sample Responses: Two customers each bought the same table and some of the same chairs from a furniture store. The first customer bought 1 table and 4 chairs and spent less than $400. The second customer bought 1 table and 6 chairs and spent more than $400. What could be the price of each chair (y)? Kyle and Jasmine each bought tickets for a concert. Kyle bought 1 student ticket and 4 adult tickets and spent less than $400. Jasmine purchased 1 student ticket and 6 adult tickets and spent more than $400. What could be the price of the adult ticket (y)? Two head coaches bought shirts for their coaching staff. The first coach bought 1 head coach shirt and 4 assistant coach shirts and spent less than $400. The second coach bought 1 head coach shirt and 6 assistant coach shirts and spent more than $400. What could be the price of each assistant coach shirt (y)? Two customers each bought a surround sound system and new movies from an electronic store. The first customer bought the surround sound system and 4 new movies and spent less than $400. The second customer bought the surround sound system and 6 new movies and spent more than $400. What could be the price of each movie (y)? 2 Points The response indicates proficiency in creating real-life word problems that can be represented by given systems of inequalities. The response includes the definition of each variable. The student correctly completes the task. 1 Point The response indicates partial proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student correctly completes the task but makes a minor error. Answers that give a word problem but do not involve a real-life situation receive 1 point. Answers that give a real-life word problem but do not include the definition of each variable receive 1 point. 0 Points The response indicates no proficiency in creating real-life word problems that can be represented by given systems of inequalities. The student shows no understanding of the concept or task. Answers that simply solve the system but do not give a word problem receive 0 points. very very dreadful chapter 2 summary????? Which could be the lengths of three sides of a triangle? a. 10 ft, 10 ft, 21 ft b. 19 ft, 11 ft, 3 ft c. 18 ft, 8 ft, 10 ft d. 12 ft, 25 ft, 35 ft e. 4 ft, 4 ft, 8.4 ft Brianna mixed 5 parts of orange juice and 2 parts of water to make a drink. How many parts of orange juice did Brianna mix with each part of water? Find an equation of the line passing through the point (2, 7) with slope m= 6. What is Osmosis? brainliest to anybody who can answer this correctly The data set represents the number of hours that fifteen students walked during a two-week period.6 6 7 8 8 8 9 10 10 12 13 14 15 16 30The median is 10 hours, Q1 is 8, Q3 is 14, and the IQR is 6 hours. Are there any outliers in the data? Explain or show your reasoning.please help you are spending some quality time with your grandparents and you notice your grandfathers face drooping and he is having difficulty speaking. what should you do?