Solve the system by substitution.
9x + 3y = -30
– 5x = y

Answers

Answer 1

Answer:

x=  -1/3

y= -2

Step-by-step explanation:

got it right on my quiz

Answer 2

The solution to the system of equations is (x, y) = (5, -25) which is determined by the substitution method.

What is the equation?

The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.

The system of equations is given, as follows

9x + 3y = -30    ....(i)

– 5x = y            ....(ii)

To solve the system of equations by substitution, we can use the second equation to substitute for y in the first equation.

First, we'll solve the second equation for y:

y = -5x

Now we'll substitute that value for y in the first equation:

9x + 3(-5x) = -30

9x - 15x = -30

-6x = -30

x = 5

Now we can substitute that value for x back into the second equation to find y:

y = -5(5)

y = -25

So the solution to the system of equations is (x, y) = (5, -25).

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Related Questions

Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common difference and if it is geometric find the common ratio? and please do not give me a stupid answer only smart people answer this if you know the answer to this you are smart. 1

Answers

Answer:

The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence

Step-by-step explanation:

A sequence is said to be an arithmetic sequence if difference between the terms is same.

A sequence is said to be a geometric sequence if ratio of the terms is same.

Given sequence is [tex]49,36,25,16,8,4,1[/tex]

Here,

[tex]36-49=-13\\25-36=-11\\36-49\neq 25-36[/tex]

So, this sequence is not an arithmetic sequence.

Also,

[tex]\frac{36}{49}\neq \frac{25}{36}[/tex]

So, this sequence is not a geometric sequence.

Therefore,

The given sequence [tex]49,36,25,16,8,4,1[/tex] is neither a arithmetic nor a geometric sequence

Analyzing a System
Solve the system of inequalities.
x² - gpg
v> 2
Which describe the solution set of the given system?
Check all that apply
The solution set is unbounded.
The point (1, 0) is in the solution set.
There is one point of intersection of the boundary
curves
The boundaries of the overlapping region are in the
solution set.
The boundary curves intersect at approximately
(-3,0).

Answers

Answer:

A, C, E

Step-by-step explanation:

took the assignment on edge

Answer:

a , c and e

Step-by-step explanation:

got it right on edg ^u^

Find the product: 5(2x2 + 4x + 3)

Answers

Answer:

10x^2+20x+15

Step-by-step explanation:

5(2x^2+4x+3)

u distributed it and u get

10x^2+20x+15

Answer: I am pretty sure it is 115+20x

Step-by-step explanation: You have to do distributive Property

10 times 10+ 20x+15

100+20x+15

115+20x

the info about it is down below enjoy your day :)

Answers

Step-by-step explanation:

column 2 is greater

have a gret day too

B is the correct answer. The number in column ll is greater. The decimal value of the number in the 2nd column is 0.78 and the value of the number in the first column is 0.52. Thence b is right;)

Need help asap PLEASE same problem just made it easier to see

Answers

Label XY with 3.

Label angle X with 53 degrees.

Label angle Y with 90 degrees.

Label angle C with 37 degrees.

Label angle A with 53 degrees.

Label BC with 4.

Label AC with 5.

Answer: i don't know if you want degrees or the lengths so i did both

∠ACB = 37°

∠BAC = 53°

∠ZXY = 53°

∠XYZ = 90°

∠XZY = 37°

∠ABC = 90°

BC = 4

AC = 5

AB = 3

YZ = 4

XY = 3

XZ = 5

Step-by-step explanation:

37 + 90 = 127

180 - 127 = 53

37 + 90 + 53 = 180

hurry i'm doing a test so
what is the value of x in the equation 5.5x = 17.6?

Answers

Answer:

x=3.2

Step-by-step explanation:

Answer:

x=3.2

Step-by-step explanation:

Divide each term by  5.5  and simplify.

x = 3.2

idk the answer at all​

Answers

Answer:

y-1=3/2(x+3)

Step-by-step explanation:

Calculate the slope m of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m=2+4/2+2=6/4=3/2

Parallel lines have equal slopes.

The equation of a line in point-slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3/2 and (a, b) = (- 3, 1), thus

y - 1 = 3/2 (x - (- 3)), that is

y - 1 = 3/2 (x + 3) ← equation in point- slope form

Use algebraic means to show that x^2 + y^2 = 8 is not a function. Explain your process.

Answers

Answer:

For a single value of x function has more than one corresponding value of y which satisfies the equation.

Step-by-step explanation:

Function: A relationship between a set of inputs and a set of possible outputs, where exactly one output is associated with each input.

It means for an equation to represent a function any single value of  x there should be only one corresponding value of  y which satisfies the equation.

Now consider the given equation.

[tex]x^2 + y^2 = 8[/tex]

If we put x=0 then we get two value of y i.e [tex]\sqrt8[/tex] and [tex]-\sqrt8[/tex] which satisfy the equation  and therefore the equation is not a function.

Hanna lost 4 points on a test and earned 4 points on an extra-credit question​

Answers

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

Step-by-step explanation:

What integer represents the situation ""6 yards behind the winner""?

Answers

Answer:

-6

Step-by-step explanation:

An integer is a whole number that can either be positive, negative or zero.

Now, we want to write the integer that represents 6 yards behind the winner.

Now, a distance of 6 yards behind the winner means a deficit distance of 6 yards behind the winner. Which in turn means a negative distance which is -6 yards behind the winner.

Thus, the integer is -6

(HELP PLEASE) Lines a and d are


-non-coplanar.

-parallel.

-perpendicular.

-skew.

Answers

the lines are perpendicular

Un abuelo quiere repartir una cierta cantidad de manera proporcional entre sus tres nietos de 14, 10 y 6 años de edad ¿A quién le corresponde más? Resuelve el problema apoyándote con los videos previos. Una vez resuelto, planteen el tema a alguien de su familia y juntos comenten cómo utilizan las relaciones proporcionales en sus quehaceres.

Answers

Answer:

El nieto de 14 años de edad recibirá la mayor cantidad.

Step-by-step explanation:

En este problema, debemos tener en mente que la cantidad aportada es directamente proporcional a la edad de quien recibe, esta cantidad es igual al producto de la cantidad total y la razón de la edad de quien recibe y la suma de todas las edades.

Bajo este razonamiento, podemos concluir que el nieto de 14 años de edad recibirá la mayor cantidad.

8/9 - 1/3 equals what​

Answers

Answer: 5/9

Explanation: Start by making them have common denominators by multiplying the numerator and denominator by 3, so now its 8/9-3/9 then 8-3=5 so the answer is 5/9.
tha answer is excalty 5/9

Aloma, a university graduate who started a successful business, wants to start an endowment in her name that will provide scholarships to ChE students. She wants the scholarship to provide $13,000 per year and expects the first one to be awarded on the day she fulfills the endowment obligation. If Aloma plans to donate $240,000, what rate of return must the university realize in order to award the annual scholarship forever?


The rate of return that the university must realize in order to award the annual scholarship forever is _____%.

Answers

Answer:

5.73%

Step-by-step explanation:

Calculation for the rate of return that the university must realize

Using this formula

Rate of return = Initial payment/(Plan to donate- Initial payment)

Let plug in the formula

Rate of return=$13,000/($240,000-$13,000)

Rate of return=$13,000/$227,000

Rate of return=0.0573*100

Rate of return =5.73%

Therefore The rate of return that the university must realize in order to award the annual scholarship forever is 5.73 %.

You can buy a pack of 12 batteries
for $6. What is the unit price?

Answers

Answer:

Each battery costs .5 dollars or 50 cents

Step-by-step explanation:

6/12=.5

Answer:

total units 12

cost per unit $ 0.5000

Step-by-step explanation:

Hope this helps! :)

HELP : calculating slope between two points.

Answers

Answer:

(1.)3.5 (2.)-3 (3)0

Step-by-step explanation:

if right comment please

Your answers are
1. m=7/2
2.m=-3
3.m=0

I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE

Answers

so

y=9 -> y=18

       *2

x=8 -> x=16

       *2

so x = 16

Answer:

the only logical way solving this question is:

if y=9 then x=8

if y=18 then x should be 16

Step-by-step explanation:

I cant find any other way to solve

Winter coats are marked 70% off on February 1st. if a coat costs $57.75 on January 31st, how much will it cost on February 1st.

Answers

Answer:

57.75-(57.75*0.7)=17,325

Or 100-70=30

So 57.75*0.3=17.325

Answer:

$40.425

Step-by-step explanation:

hope it helps good luck

Find the slope of the line

Answers

(0,5) is the answer

Give the probability distribution for X:

x 0 1 2 3
f(x) 1/4 1/8 1/2 1/8

Find Var.

Answers

Answer:

Var(x)=1

Step-by-step explanation:

x p(x)         x² x*p(x) x²*p(x)

0 1/4     0 0         0

1 1/8     1 1/8             1/8

2 1/2     4 1           2

3 1/8     9 3/8            9/8

Total                      3/2              13/4

The required variance can be computed as

Var(x)=sumx²*p(x)-(sum(x*p(x)))²

Var(x)=13/4-(3/2)²

Var(x)=13/4-9/4

Var(x)=4/4

Var(x)=1

Thus, the required variance is 1.

A survey of 800 college seniors resulted in the following crosstabulation regarding their undergraduate major and their plan of going to graduate school. Compute the row percentages.
A. Yes = 35% and No = 65% Business = 25%, Engineering = 30%, and Others = 45%
B. Yes = 48% and No = 52% Business = 31.5%, Engineering = 36.5%, and Others = 32%

Answers

Incomplete question. Attached is an image of the table.

Step-by-step explanation:

A.

Yes = 35% = [tex]\frac{280}{800} * 100 =[/tex] 35%.   and No = 65% = [tex]\frac{520}{800} * 100 =[/tex] 65%

Business = 25% = [tex]\frac{70}{280} * 100 =[/tex] 25%.Engineering = 30% = [tex]\frac{84}{280} * 100 =[/tex] 30%.  and Others = 45% = [tex]\frac{126}{280} * 100 =[/tex] 45%.

I need help please and thank you in advance

Answers

im pretty sure it’s g(x) = x^2 - 3

To finish a certain job in 8 days in 6 workers are needed. if it is required to finish the same job in 2 days advance how many workers have to work?​

Answers

Answer:

The job needs 48 worker/days.

Step-by-step explanation:

To do it in 4 days, 48/4 or 12

4(3x + 1)
What is the answer to 4(3x + 1)

Answers

12x + 4

Divide 12 by 4

X=3

Answer:

Answer is 12x+4. Hope that helped.

A dietician is considering three food types to be served at a meal she is particularly concerned with the amount of one vitamin provided?

5 years ago

at this meal ,. One ounce of food 1 provide 8 milligrams of the vitamin , an ounce of food 2 provides 24 milligram and an ounce of food 3 provides 16 milligrams . The minimum daily requirements for vitamin is 120 milligram

a. If x equals the number of ounces of food type j served at meal, determine the equation which ensure the meal satisfies MDR exactly.


i want linear equation solution of this

Answers

Answer:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

Step-by-step explanation:

food 1    provides    8 mgrs  of vitamin

food 2   provides 24  mgrs  of  vitamin

food 3   provides  16  mgrs of vitamin

If xj ( j = 1 ,2,3 ) is the quantity in ounces of food ( 1, 2, 3 ) then:

8* x₁ + 24*x₂ + 16*x₃ ≥ 120

What is the midpoint of the segments with endpoints (3,7) and (9,15)

Answers

The midpoint is (6, 11)

I have attached the equation so it’s easier to understand.

To find the midpoint we do
(x^1+x^2 /2 , y^1+y^2 /2)

3, 7 is x^1, y^1
And
9, 15 is x^2, y^2

(3+9 /2 , 7+15 /2)

Add the x and y =

(12/2 , 22/2)

Now we divide both by 2 =

(6, 11)

Answer:

(6,11)

I can confirm that this question is right.

12/2      22/2

(6   ,        11)

Which statement describes the vertical asymptotes of the graph of f(x) = x2–64/8x - 64

Answers

Answer:

The graph has no vertical asymptote.  or A

Step-by-step explanation:

Right on edge

For the given function f(x) = (x² -64) / (8x -64)  there is no vertical asymptotes of the graph.

What is vertical asymptotes ?

"A vertical asymptote is a vertical line, , which represents  that invisible line approaches from either the positive or negative side, the function approaches infinity. Vertical asymptotes occur at the values where a rational function has a denominator of 0."

According to the question,

Given,

f(x) = (x² -64) / (8x -64)

     = ( x- 8)(x + 8) / 8(x -8)

     = (x + 8) / 8

    = x/8 + 1

To find vertical asymptotes denominator = 0.

But here denominator 8 ≠ 0

Therefore,

No vertical asymptotes

horizontal asymptotes: no

slant/ oblique asymptotes: y = x/8 + 1

Hence, the graph has no vertical asymptotes.

Learn more about vertical asymptotes here

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The product of two integers is -40. If
the sum of the two integers is -3, what
are the two integers?

Answers

Answer:

-20

Step-by-step explanation:

no cap

Maureen reads at an average rate of 18 pages per hour. If she reads for 3.5 hours how many pages will she read?

Answers

the answer is 63

Step-by-step explanation

18 x 3.5=63

Answer: 63 pages

Explanation: 18 times 3 equals 54 and then for half an hour that's 9 minutes added to 54 which is 63 pages.

Look at the pattern below.

0, 3, 6, 9, ...

Create a new pattern that follows the same rule as the one above.

Answers

0 , 4 , 8 , 12 , .... that’s what you can do to answer that question

0,5,10,15,20,

Step-by-step explanation:

I'm just adding 5 to each because I add 3 to each number

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