What are all the coordinates that are solutions to the equation -2x + 4y = -10

Answers

Answer 1

Answer:

(x , 1/2x - 5/2)  where x is a real number.

Step-by-step explanation:

-2x + 4y = -10 ⇔ 4y = 2x - 10 ⇔ y = 1/2x - 5/2

then any couple of the form (x , 1/2x - 5/2) is a solution to the equation

example :

let x = 7 then 1/2x - 5/2 = 1/2(7) - 5/2 = 1

in this case  -2x + 4y = -2(7) + 4(1) = -14 + 4 = -10

then (7,1) verify the equation


Related Questions

Raj has a $25 budget to spend on decorations for a party he has already spent $18.60 he now wants to get some helium balloons that’s cost $0.80 each write and solve an inequality to show the number of balloons the raj could buy

Answers

Answer:

The number of balloons Raj could buy is 8.

Step-by-step explanation:

Given:

Raj has a $25 budget to spend on decorations for a party.

He has already spent $18.60.

He wants to get some helium balloons that’s cost $0.80 each.

Now, to write and solve an inequality to show the number of balloons Raj could buy.

Let the number of balloons be [tex]x.[/tex]

Cost of each balloons = $0.80.

So, the total cost of balloons = [tex]0.80x.[/tex]

He already spent = $18.60.

Total budget Raj has = $25.

Now, to solve an inequality to show the number of balloons:

[tex]0.80x+18.60\leq 25[/tex]

Subtracting both sides by 18.60 we get:

[tex]0.80x\leq 6.40[/tex]

Dividing both sides by 0.80 we get:

[tex]x\leq 8.[/tex]

Therefore, the number of balloons Raj could buy is 8.

Which expression is equivalent to 8/15?
A. 8÷1/5
B. 8÷15
C. 15÷1/8
D. 15÷8



Answers

Answer: B is the answer

Step-by-step explanation:

8 over 15 means 8 divided by 15, so B is the correct answer.

systems of equations
15x-4y=62
5x+8y=86

Answers

Answer:

y = 7 and x = 6

Step-by-step explanation:

15x-4y=62 ---------------------------(i)

5x+8y=86-----------------------------(ii) X 3

15x+24y=258---------------------------(iii)

(iii)-(i)

28y = 196

y = 7

Sub. for y in (I) to get x

x = 6

Final answer:

The system of equations 15x - 4y = 62 and 5x + 8y = 86 is solved using the method of elimination, yielding the solution x = 6 and y = 7.

Explanation:

We are asked to solve a system of equations:

15x - 4y = 625x + 8y = 86

We will use the method of elimination to solve this system, which involves manipulating the equations so that adding or subtracting them will eliminate one of the variables, allowing us to solve for the other.

Multiply the second equation by 3: 15x + 24y = 258.Subtract the first equation from the modified second equation: 15x + 24y - (15x - 4y) = 258 - 62.This gives us 28y = 196, and solving for y gives us y = 7.Substitute y = 7 into the first original equation to find x: 15x - 4(7) = 62.Solve for x: 15x - 28 = 62, which gives x = 6.

Therefore, the solution to the system of equations is x = 6 and y = 7.

f(1)=−1.8 f(n)=f(n−1)⋅9 ​ Find an explicit formula for f(n)

Answers

Answer:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

Step-by-step explanation:

f(1) = - 1.8

f(n) = f(1) x 9ⁿ⁻¹

f(1) = - 1.8 x 9⁰ = -1.8

f(2) = - 1.8 x 9¹

f(3) = - 1.8 x 9²

check:

f(1)=−1.8

f(n)=f(n−1)⋅9

f(2) = f(1) x 9 = -1.8 x 9¹

f(3) = f(2) x 9 = (- 1.8 x 9) x 9 = -1.8 x 9²

Answer: f(n)= -1.8*9^n-1

Step-by-step explanation:

Which salt is the most common found in ocean water?

A.) calcium carbonate
B.) magnesium
C.) potassium
D.) sodium chloride

Answers

Answer:

sodium chloride

Step-by-step explanation:

sea salt is basically sodium chloride

Answer:

Sodium chloride is the most abundant salt

Step-by-step explanation:

what is the slope a ski run that rises 8 feet for every horizontal change of 72 feet

Answers

Answer:

the slope of the ski run is 9

What is the answer to the problem 1 + -4

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

cuz its like 4-1

F^-1(4) when f(x) = 3x - 4/ 5

Answers

Answer: [tex]f^{-1}(4)=\frac{8}{5}[/tex]

Step-by-step explanation:

1. You need to find the Inverse function [tex]f^{-1}(x)[/tex]:

- Given the function f(x):

[tex]f(x) = 3x - \frac{4}{ 5}[/tex]

- Rewrite it with [tex]f(x)=y[/tex]:

[tex]y= 3x - \frac{4}{ 5}[/tex]

- Now you must solve for "x":

[tex]y+\frac{4}{ 5} = 3x\\\\(y+\frac{4}{ 5})(3)=x\\\\x=\frac{y}{3}+\frac{4}{15}[/tex]

- Now you must exchange the variables:

[tex]y=\frac{x}{3}+\frac{4}{15}[/tex]

- Then:

[tex]f^{-1}(x)=\frac{x}{3}+\frac{4}{15}[/tex]

2. Substitute [tex]x=4[/tex] into the Inverse function and then evaluate:

[tex]f^{-1}(4)=\frac{(4)}{3}+\frac{4}{15}\\\\f^{-1}(4)=\frac{8}{5}[/tex]

5 minus what equals 4.329

Answers

Final answer:

5 minus 0.671 equals 4.329.

Explanation:

The student is asking for the number that, when subtracted from 5, equals 4.329. To find this number, you subtract 4.329 from 5:

5 - x = 4.329

Solving for x, you subtract 4.329 from 5:

x = 5 - 4.329

x = 0.671

Therefore, 5 minus 0.671 equals 4.329. When dealing with subtraction, it's important to round the result correctly, just as with other operations such as addition, multiplication, and division.

What is bigger -8 or 5

Answers

5 is bigger because its right of your number line and it isn’t -8 because it below 0 and left of the number

5 because -8 is less 0

Finn bought 12 movie tickets. Student tickets cost $4, and adult tickets
cost $8. Finn spent a total of $60. Write a system of equations
to find the number of student and adult tickets Finn bought.

Answers

Answer:

x=9(student cost)

y=3(adult cost)

12=4x+8y

60=4x+8y

Answer:

x=9(student cost)

y=3(adult cost)

12=4x+8y

60=4x+8y

Step-by-step explanation:

Find the value of x. Round to the nearest degree.
Select one:
a. 53
b. 37
c. 49
d. 39

Answers

Answer:

a. 53

Step-by-step explanation:

The side with length 15 is opposite the right angle, so it is the hypotenuse of the right triangle.

For angle x, the side measuring 12 is the opposite leg.

Our 3 items of interest are: angle, opposite leg, hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine ratio.

sin x = opp/hyp

sin x = 12/15

sin x = 0.8

Now we take the inverse sine of 0.8 to find the measure of the angle.

x = sin^(-1) 0.8 = 53 deg

The answer will be 53!

y = 0.0043x3 − 0.24x2 + 0.583x + 199.8

what does this look like graphed ?

Answers

Answer:

Table and graph attached

Step-by-step explanation:

Graph of a Function

Given a real function f(x), we can construct its graph by taking random values for x, computing f(x) for each selected value, and plotting the pairs (x,f(x)) in a rectangular grid. By joining the points we get an approximate graph.

It's not always easy to find an appropriate set of values for x which makes the important part of the graph be clearly shown in the graph. We select the range for x between -30 and +70. The results are shown in the table below.  

The graph is also shown in the second image provided.

The diagram shows several planes, lines, and points.
Which statement is true about line h?
O Line h intersects line fat two points, A and B.
Line h is the intersection of planes Rand T.
Line h intersects plane pat point C.
© Line h has points on planes R P, and T.

Answers

Answer:

The true statement is Line h has points on planes R, P, and T

Step-by-step explanation:

The rest of the question is the attached figure

According to the graph, we will check which option is true.

a. Line h intersects line f at two points, A and B   (Wrong)

Because: h intersects line f at B only.

b. Line h is the intersection of planes R and T      (Wrong)

Because: g is the intersection of planes R and T

c. Line h intersects plane P at point C                   (Wrong)

Because: h intersects plane P at point B

d. Line h has points on planes R, P, and T             (True)        

Because h has the point B on the plane P, h has the point A on the plane T

and the points of h on the plane R

Answer:

Line h has points on planes R, P, and T

Step-by-step explanation:

did the test

A group of students go out for lunch. If two have
hamburgers and five have hot dogs, the bill will be
$8.00. If five have hamburgers and two have hot dogs,
the bill will be $9.50. What is the price of a hamburger?

Answers

Answer:

1.50$

Step-by-step explanation:

2 hamburgers would equal 3$ and if the hot dogs are 1$ each it woul make the equation true

Final answer:

To find the price of a hamburger, set up a system of equations and solve for the price using the given information. So, the price of a hamburger is $2.50

Explanation:

To find the price of a hamburger, we can set up a system of equations based on the given information.

Let x be the price of a hamburger.

From the first scenario, we have 2x + 5(0.50) = 8.00.

From the second scenario, we have 5x + 2(0.50) = 9.50.

Simplifying these equations gives us 2x + 2.50 = 8.00 and 5x + 1.00 = 9.50.

Solving these equations, we find that x = $2.50.

Therefore, the price of a hamburger is $2.50.

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5[8 (7 — 4) divided by 6]

What is the value of the expression?

Please please please answer!

Answers

Answer:

20

Explanation:

PEMDAS

in the three stacks of books there are 15 books, 9 books and 9 books if the books were rearranged so that the stack had the same number of books how many books would be even?​

Answers

Answer:

There would be 11 books in each stack, to have the same number.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Books in stack 1 = 15

Books in stack 2 = 9

Books in stack 3 = 9

2.  If the books were rearranged so that the stack had the same number of books how many books would be even?​

Total books = Books in stack 1 + Books in stack 2 + Books in stack 3

Total books = 15 + 9 + 9

Total books = 33

Total books/Number of stacks = Number of books per stack to be the same

33/3 = Number of books per stack to be the same

Number of books per stack to be the same = 11

Line V has a slope of 8/9. Line w is perpendicular to V. What is the slope of line W?

Answers

Answer:

W = -9/8

Step-by-step explanation:

for two perpendicular lines

W*V = -1

W = 9/8*(-1)

W= -9/8

Final answer:

The slope of line W, which is perpendicular to line V with a slope of 8/9, is -9/8.

Explanation:

The slope of a line perpendicular to another in a two-dimensional plane is the negative reciprocal of the original line’s slope. Given that line V has a slope of 8/9, the slope of the perpendicular line W would be -9/8. This is because the product of the slopes of two perpendicular lines is -1 (negative one). Therefore, the slope of the line W, which is perpendicular to V, is -9/8.

Madison Middle School spends $750 per year on club activities. They spend at least twice the amount on after school activities. Write an inequality that represents how much they spend on after school activities

Answers

Answer:

x≥1500

Step-by-step explanation:

How would you solve 4n-2n=4?

Answers

Answer:

n = 2

Explanation:

Simplify both sides of the equation

4n − 2n = 4

4n + −2n = 4

(4n + −2n) = 4 (Combine Like Terms)

2n = 4

2n = 4

Divide both sides by 2

2n / 2 = 4 / 2

n = 2

4n-2n=4

4n-2n= 2n

2n=4

÷2

n=2

Determine the slope of the line that passes through points (0, -4) and (-1,2).
6
-6
-1/6
1/6

Answers

Answer:

B) -6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(2-(-4))/(-1-0)

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

m=6/-1

m=-6

the answer is B, -6, because if you graph it the line goes down and it rises up 6

What is the product (3x-6)(2x2-7x+1)

Answers

Answer:

[tex]\large\boxed{6x^3-33x^2+45x-6}[/tex]

Step-by-step explanation:

[tex]\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\(3x-6)(2x^2-7x+1)\\\\=(3x)(2x^2)+(3x)(-7x)+(3x)(1)+(-6)(2x^2)+(-6)(-7x)+(-6)(1)\\\\=6x^3-21x^2+3x-12x^2+42x-6\qquad\text{combine like terms}\\\\=6x^3+(-21x^2-12x^2)+(3x+42x)-6\\\\=6x^3-33x^2+45x-6[/tex]

A package of 35 pencils cost $5.25. At his rate what is the cost of 1 pencil

Answers

The correct answer is: 35 divided by 5.25 =0.15

What is solution of 8x-2y =1 and -4x+y = 3

Answers

Answer: it has no solution

Step-by-step explanation:

8x - 2y = 1 ..................... equation 1

-4x + y = 3 ...................... equation 2

solving the system of linear equation by substitution method . From equation 2 , make y the subject of the formula.

y = 3 + 4x .......................... equation 3

substitute equation 3 into equation 1 .

8x - 2(3 + 4x ) = 1

8x - 6 - 8x = 1

8x- 8x - 6 = 1

-6 = 1

this means that the equation has no solution

Suppose you deposit $7500 in a saving account that has as interest rate of 5.5.
If the interest is compounded monthly, what will the approximate balance of this saving account be in 3 years?

Answers

Answer:

ok so im going give the equation to fiqure this along with the awnser,

the basic equation is A=P (1+R/N)N(T)

P= Principle (Starting amount)

R= Interest rate

N= Amount of time compounded PER YEAR  

T= amount of years

Step-by-step explanation:

so this would be A=$7500 (1+ 0.055/12)12(3)

which come to A=$7500 (1.178948602)

which comes to a total of $8842.11

hope this helps

Final answer:

The balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be approximately $8863.52 after 3 years.

Explanation:

The question involves the concept of compound interest, more specifically how much the balance of a savings account with an initial deposit of $7500 and an annual interest rate of 5.5%, compounded monthly, will be in 3 years. To calculate this, we use the compound interest formula: A = P(1 + r/n)^(nt), where:

A = the amount of money accumulated after n years, including interest.P = the principal amount (the initial amount of money).r = the annual interest rate (decimal).n = the number of times that interest is compounded per year.t = the time the money is invested for, in years.

For the given problem:

P = $7500r = 5.5% or 0.055 (as a decimal)n = 12 (since it's compounded monthly)t = 3 years

We can substitute the values into the formula:

A = 7500(1 + 0.055/12)^(12*3)

Calculating this out, we find:

A = 7500(1 + 0.0045833)³⁶

A = 7500(1.0045833)³⁶

A = 7500(1.1811360235)

A = $8863.52 (approximately)

Therefore, the approximate balance of the savings account after 3 years will be $8863.52.

if you get 17 out of 20 questions correct on your next test what percent of the test did you answer correctly?

Answers

Answer:

85%

Step-by-step explanation:

Just use a calculator to divide 17 by 20. That gives you .85. To convert into a percent, multiply by 100, giving you an 85%.

A trick I use to convert decimals into percents is to jut move the decimal point 2 spaces to the right.

You answered 85% of the test questions correctly.

To find the percentage of questions answered correctly, we can use the formula:

Percentage = (Number of questions answered correctly / Total number of questions) × 100

In this case, you answered 17 out of 20 questions correctly. Plugging these values into the formula:

Percentage = (17 / 20) × 100

Percentage = 0.85 × 100

Percentage = 85

Therefore, you answered 85% of the test questions correctly.

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old mcdonald has 100 chickens and goats in the barnyard. Altogether, there are 284 feet. How many chickens and how many goats are in the barnyard?

Answers

Answer:

58 chickens, 42 goats

Step-by-step explanation:

there are a total of 100 chickens and goats

c + g = 100....c = 100 - g

there are 284 feet....chickens have 2 feet and goats have 4 feet

2c + 4g = 284

2(100 - g) + 4g = 284

200 - 2g + 4g = 284

-2g + 4g = 284 - 200

2g = 84

g = 84/2

g = 42 <===== goats

c + g = 100

c + 42 = 100

c = 100 - 42

c = 58 <==== chickens

Final answer:

To solve the problem, set up equations based on the number of feet each animal has, then use substitution to find there are 58 chickens and 42 goats in the barnyard.

Explanation:

How to Solve Problems Involving Numbers of Chickens and Goats

Old McDonald has 100 chickens and goats in the barnyard, and altogether, there are 284 feet. To find out how many chickens and how many goats are there, we can set up a system of equations based on the information given. A chicken has 2 feet and a goat has 4 feet. Let's assign the variable C to represent the number of chickens and G to represent the number of goats.



We are given two pieces of information which we will translate into two equations:

Equation 1: C + G = 100 (since there are 100 chickens and goats in total)

Equation 2: 2C + 4G = 284 (since chickens have 2 feet and goats have 4 feet)



To solve for C and G, we can multiply Equation 1 by 2 to align it with the coefficients of Equation 2:

2C + 2G = 200

Now, subtract this new equation from Equation 2 to solve for G:

(2C + 4G) - (2C + 2G) = 284 - 200

2G = 84

G = 42

With G known, we can substitute it back into Equation 1 to find C:

C + 42 = 100

C = 58

Therefore, there are 58 chickens and 42 goats in the barnyard.

The average score on the statistics final exam was 85 and the standard deviation was 2.5 . Chris scored a 95 . Chris scored higher than what percent of his class?

Answers

Answer:

55%

Step-by-step explanation:

its honestly just a guess

-12 * 7/2
Please explain

Answers

Answer:-42

Step-by-step explanation:

-12*7/2

Is also represented like this

-12/1*7/2 proper fraction

Multiple -12*7 and divide by 2

-84/2= -42

Answer:

Using BIDMAS the answer equates to -42.

Step-by-step explanation:

Consider the Piece-Wise graph described by the following equation:
Determine the coordinates of the point on the graph where x=3.

(3, 1)

(3, 3)

(3, 5)

(3, 13)

Answers

Answer:

(3, 5 )

Step-by-step explanation:

when x = 3, that is x ≥ 3, thus

y = 2x - 1 = 2(3) - 1 = 6 - 1 = 5 ⇒ (3, 5 ) is the point on the graph

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