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

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).

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

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

Answers

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

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

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:

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

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:

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

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).

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

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

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.

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:

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:

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.

question is in picture

Answers

65 not isosceles
55 isosceles
60 isosceles.

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

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:

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.

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

1. 4x^2 +3x+2 and 7x^2+7x+3​

Answers

Answer:

 -x2 + 9x - 15

 —————————————

       3      

Step-by-step explanation:

 -x2 + 9x - 15

 —————————————

       3      

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:

(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

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

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

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:

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

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

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
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