-4x + 3y = -2 y = x - 2
Show work pleaseeee !!!

Answers

Answer 1

Answer:

y=8/13, 10/13=x

Step-by-step explanation:

-2y = x-2, so 2y = -x+2. y = -1/2x+1, and we plug this in -4x+3y to get

-4x-1.5x+3=x-2

-5.5x+3=x-2,

-6.5x=-5

13x=10

x=10/13.

for y we plug the x in to get -40/13=-5y

40/13=5y

y=8/13

Answer 2

Answer:

x = -2/7

y = 8/7

Step-by-step explanation:

1) Since the equations at the end are both equivalent to -2y:

-4x + 3y = -2y

x - 2 = -2y

2) We want to get y by itself:

-4x + 3y = -2y --> -4x = y

x - 2 = -2y --> -x/2 + 1 = y

3) Since both are equal to y, we can solve for x; set the equations equal to each other, then combine like terms via adding/subtracting/dividing/multiplying (in accordance to PEMDAS):

(-2) (-4x) = (-x/2 + 1) (-2)

8x = x - 2

(8x) -x = (x - 2) -x

7x = -2

(7x) / 7 = (-2) / 7

x = -2/7

4) Now that we know what x equals, substitute x with -2/7 in one of the initial equations:

x - 2 = -2y

-2/7 - 2 = -2y

5) Then, combine like terms via adding/subtracting/dividing/multiplying (in accordance to PEMDAS); then, simplify to get what y equals:

(-2/7 - 2) (-7) = (-2y) (-7)

2 + 14 = 14y

16 = 14y

(16) / 14 = (14y) / 14

16/14 = y

6) Simplify (reduce):

8/7 = y

7) Your final answer is:

x = -2/7, y = 8/7


Related Questions

how many times does 18 go into 40

Answers

Answer:

2 times

The drawing will help

It goes in it 2 bcuz u just need to divide

Determine whether each relationship represented by the ordered pairs is a function. Explain.. Please answer both problems. 8. (2,2), (3,1), (5,7), (8,0), (9,1)... 9. (0,4), (5,1), (2,8), (6,3), (5,9)​

Answers

Answer:

8.) Not a function

9.) Is a function

Step-by-step explanation:

In order for a set of coordinates to be a function, the y cannot be repeated.

In number 8, there is (3,1) and (9,1)

Not a function

In number 9, each coordinate is unique and doesn't repeat the y.

Is a function

Which ordered pair is a solution of the equation? X+7y=17

Answer Choices

A. Only (10,1)
B. Only (-4,3)
C. Both (10,1) and (-4,3)

Answers

Answer:

C. Both (10,1) and (-4,3)

Step-by-step explanation:

The equation is x + 7y = 17

Option A: x = 10, y = 1

Now, putting the value in the equation,

L.H.S.,

x + 7y

= 10 + 7*1

= 10 + 7

= 17

Therefore, L.H.S. = R.H.S.

The equation is correct.

Option B: x = -4, y = 3

Now, putting the value in the equation,

L.H.S.,

x + 7y

= -4 + 7*3

= -4 + 21

= 17

Therefore, L.H.S. = R.H.S.

The equation is also correct with this value.

As the option "A" and Option "B" shows the correct value, the answer is both A and B.

Answer:

C.) Both the answers are true

Step-by-step explanation:

Simply plug it in

(10, 1) = 10 + 7(1) = 17

10 + 7 = 17

17 = 17

So A.) is true, but let's check B.)

-4 + 7(3) = 17

-4 + 21 = 17

17 = 17

B.) is also true

There are between 24 and 40 students in the class

the ratio for boys to girls is 4:7

how many students are in the class

Answers

Answer:

33 students

Step-by-step explanation:

Without any other data to go by, guess and check is the only method we can use. Staying in a 4:7 ratio, only one combination gives a total student number between 24 and 40, with 12 boys and 21 girls.

4 + 7 = 11

8 + 14 = 22

12 + 21 = 33

16 + 28 = 44

10x+5y=25 in standard form

Answers

Answer:

10x=20

Step-by-step explanation:

What is the percent of decrease from 320 to 32?

A.)10%
B.)90%
c.)100%
D.)288%

Answers

the answer will become 10%

Nathaniel is saving money to buy a new graphics card for his computer that
costs $260.
If he is saving $18 a month and already has $134, in how many
more months will he have enough money for the graphics card?

Answers

Answer:

7 months

Step-by-step explanation:

m=-4, passes through the point (5,-3)

Answers

Answer:

y+3=-4(x-5)

Step-by-step explanation:

m=-4

y-(-3)=-4(x-5)

y+3=-4(x-5)

Solving a word problem using a two-step med
equally
Espaho
Jim wants to rent a boat and spend at most $34. The boat costs $6 per hour, and Jim has a discount coupon for $8 off. What are the possible numbers of hours
Jim could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t

Answers

Inequality is 6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less

Solution:

Given that  

Maximum amount Jim can spend to rent a boat = $34

Rental cost of boat for 1 hour = $6

Also Jim has a discount coupon for $8 off.

Need to determine possible number of hours Jim could rent a boat.

Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"

Cost of renting boat for 1 hour = 6

So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t

Also Maximum amount Jim can spend to rent a boat = $34

As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44

So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat

=> 6t  ≤ 44

On solving above equality for "t" we get ,

[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]

Hence inequality is  6t  ≤ 44 and Jim can rent a boat for 7.33 hrs or less.

b/5 -34<-41 what is B

Answers

Answer:

b<-35

Step-by-step explanation:

b/5-34<-41

b/5<-41+34

b/5<-7

b<-7*5

b<-35

I need help for 8 and 9 plz help and thank you

Answers

Answer:

8) 0 + t = t ------- Identity Property of Addition

(2+b) * 0 = 0 ------- Zero Property of Multiplication

9) n * 0 = 0 ------- Zero Property of Multiplication

1m = m --------- Identity Property of Multiplication

Hope this helps

-Amelia

Answer:

8) Identity Property of Addition

9) Zero Property of Multiplication

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. How much will she have in the account after 3 years? Round to the nearest dollar.

Answers

Final answer:

Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To find out how much she will have after 3 years, we use the formula for continuous compound interest and find that the total in the account, rounded to the nearest dollar, is $4513.

Explanation:

The subject is continuous compound interest, which differs slightly from simple interest. In Mika's case, she placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%. To calculate the total amount after 3 years, we use the formula A = P * e^(rt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), and t is the time in years.

So A = $4200 * e^(0.023 * 3). When we calculate this, we find that the total in the account, rounded to the nearest dollar, is $4513.

Learn more about Continuous Compound Interest here:

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What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
c.
D.
y= 3x - 14
y= 3x - 4
y=3x + 12

Answers

Answer:

A: y = 3x + 4

Step-by-step explanation:

A slope of 3 is given, so the co-efficient of x must be three

If you are going through point (-3, -5), then you must have a starting point.

Adding 3 to the y coordinate for every x value gives us 4.

This means that the equation must be adding 4 to x.

So, the answer is y = 3x + 4, or A.

are the diagonals congruent justify your answer ​

Answers

Answer:

Sometimes

Step-by-step explanation:

If the shapes' sides are congruent? Using congurent triangles to prove

what output is 4 more than twice the input 3

Answers

Answer:

10

Step-by-step explanation:

4 more than twice the input 3

more indicates addition, twice indicates multiplication

y = output value

x = input value

y=4+2x

y=4+2(3)

y=4+6

y=10

4 more than twice the input 3 is 10

Final answer:

To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.

Explanation:

The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.

A jet travels 550 miles in 5 hours.At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet?

Answers

Answer:

The jet travels 1,540 miles in 14 hours going at about 110 mph

Answer:

I think its 1540 miles.

Step-by-step explanation:

r=550/5

You get 110.

110 times 14= 1540.

1540 miles!  

4 siblings split their inheritance in the ratio of 2:4:6:8. the inheritance is $40,000. how much does each sibling receive for his share

Answers

Answer:

First Sibling gets $4000

Second Sibling gets $8000

Third Sibling gets $12,000

Fourth Sibling gets $16,000

Step-by-step explanation:

A ratio of 2:4:6:8 means that

First sibling gets 2 parts of total

Second sibling gets 4 parts of total

Third sibling gets 6 parts of total

Fourth sibling gets 8 parts of total

Now, how many parts are there??

2 + 4 + 6 + 8 = 20 parts

Now, we divide the total inheritance ($40,000) in 20 parts, so each part is worth:

40,000/20 = $2000

Hence,

First Sibling gets = 2000 * 2 = $4000

Second Sibling gets = 2000 * 4 = $8000

Third Sibling gets = 2000 * 6 = $12,000

Fourth Sibling gets = 2000 * 8 = $16,000

Patty has 20 to spend on gifts for her friends her mother gives her 5 more. If each gift costs 5 how many gifts can she buy

Answers

Answer:

5

Step-by-step explanation:

You have $20, and your mom gives you $5. You have $25 on total. If you divide 25 by 5, you get 5. So the answer is 5.

Answer: you have $20 mom gives you $5 you now have $25 each gift costs $5 25 divided by 5 is 5

Step-by-step explanation:

There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
ate half the cookies. Then Beth came along and noticed the cookies. She thought they looked good, so she
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?

Answers

Answer:

10 2/3

Step-by-step explanation:

So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.

Solve the equation 6 = -9 – 6x for x.

A. -5/2

B. -2/5

C. 2/5

D. 5/2

Answers

Answer:

a. -5/2

Step-by-step explanation:

To solve the equation 6 = -9 - 6x for x, add 9 to both sides, then divide by -6, resulting in x = -2.5 or -5/2.

To solve the equation 6 = -9
- 6x
for x, you first want to isolate the variable x on one side of the equation. Start by adding 9 to both sides to move the constant term from the right side to the left side:

6 + 9 = -9 + 9 - 6x

15 = -6x

Next, divide both sides by -6 to solve for x:

15 / -6 = (-6x) / -6

x = -15 / 6

When you simplify -15 / 6, you get:

x = -2.5 which is the same as -5/2

Therefore, the solution to the equation is x = -5/2.

I have no idea how to do this. My teacher just threw it on us, please help. <3

Answers

Answer:

(25 1/3)/76

15.5/2

Step-by-step explanation:

I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in  our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!

Graph h(x)=-|x+2|+4. Use the ray tool and select two points to graph each ray.​

Answers

The graph of the absolute value function can be seen in the image below.

How to graph the absolute value function?

Here we have the absolute value function:

h(x) = -|x + 2| + 4

To graph it we need 3 points, one at the vertex x = -2

h(-2) = -|-2 + 2| + 4 = 4

So the point is (-2, 4)

And other two points at the right and left of x = -2, I will use x = 0 and -4.

h(-4) = -|-4 + 2| + 4 = 2

h(0) = -|0 - 2| + 4 = 2

Then we have the points (0, 2) and (-4, 2)

Now to graph the function just connect the point (-2, 4) with (0, 2) and with (-4, 2) using two rays.  The graph can be seen below.

If you want to learn more about absolute value functions:

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Seth’s father is thinking of buying his son a six-month pass for $40. With the pass, matinees cost 1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?

Answers

Final answer:

Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.

Explanation:

To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).

Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.

Divide both sides of the equation by $2.50 to solve for 'x':

x = $40 ÷ $2.50

x = 16

Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.

Quadrilateral RSTU has vertices at R(2,-2), S(4, -3), T(4-6), and U(2, - 7). Which of the following statements is true?
A. The diagonals are the same length, which is greater than 5.
B. The diagonals are the same length, which is less than 5.
The length of diagonal RT is greater than that of diagonal US
D. The length of diagonal RT is less than that of diagonal

Answers

Yes I think that it’s D because it makes more sense.

Answer:

The answer is B

Step-by-step explanation:

Edge 2022

Find the missing length. The triangles in each pair are similar

Answers

Answer:

The sides of the triangle are proportional so the length of GE=18 cm

If they are proportional, then GE=18

The question is below. :3

Answers

Answer:

empire: 25/100 or 25% ,

mclntosh : 30/100 or 30%,

fuji : 45%

Step-by-step explanation:

since there are 100 acres in total and 25 acres are farmed with empire,

the part-to-whole ratio of empire type apples will be [tex]\frac{25}{100}[/tex]

30% of the total farm is occupied by mclntosh type apples

30% of 100 acres = [tex]\frac{30}{100} *100=30 acres[/tex]

the remaining acres are 100 -( acres occupied by empire type apples) -(acres occupied by fuji type apples)

= 100-25-30

=45 acres

therefore, 45 acres will be farmed with fuji applessince there are 100 boxes in the given big square, let the color key for empire be black. now color 25 boxes with black.let the color key for mclntosh be red. color 30 uncolored boxes with red.let the color key for fuji be green. color the remaining 45 boxes with green.

2. Name a combination of coins that is 130% of the value of a dollar.
I need a simple answer

Answers

Answer:

Step-by-step explanation:

5 quarters, 1 nickel  

Answer:

The required combination of coins will be 5 quarters and 1 nickel.

Step-by-step explanation:

The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.

Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.

So, the combination of 5 quarters and 1 nickel will be,

[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]

The above value is equal to 130% of a dollar.

Therefore, the required combination of coins will be 5 quarters and 1 nickel.

For more details, refer the link:

https://brainly.com/question/19987826?referrer=searchResults

Need Help with these problems can so,e some explain and give me the answers.​

Answers

Answer:

there you go all the answers

A student used f(x) = 5.00(1.012)* to show how the balance in a savings
increase over time. What does the 5.00 represent?
A
The interest the savings account earned for the first year
B
The annual interest rate of the savings account
C
The number of years the savings account has earned interest
D
The starting balance of the savings account

Answers

Answer:

D. the starting balance of the savings account

Step-by-step explanation:

Final answer:

The 5.00 in the function f(x) = 5.00(1.012)^x represents the starting balance of the savings account, corresponding to the initial amount of money deposited.

Explanation:

The student used the function f(x) = 5.00(1.012)^x to show how the balance in a savings account increases over time. In this context, the 5.00 represents the starting balance of the savings account. This is because the function for exponential growth in the context of compound interest is typically written as P(1 + r)^t, where P is the principal amount (the initial amount of money), r is the annual interest rate (expressed as a decimal), and t is the time the money is invested for. In the given function, the 5.00 corresponds to P, which confirms that it is indeed the starting balance. Thus, the correct answer is D.

Which of the following number lines represents the solution to
+5 = 7?
- 10
-8
-6
-4
2
0
2
4
6
8
10
- 10
-8
6
4
2
0
2
4
6
8
10
-10
-8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
6 2
4
6
8
10

Answers

Answer:

-8 , 5

Step-by-step explanation:

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