(Linear Equation) solve by the Elimination method
3x-2y=11 (I)
x-4y=3​

Answers

Answer 1

Answer:

x = 3.8 , y = 0.2

Step-by-step explanation:

(Linear Equation) Solve By The Elimination Method3x-2y=11 (I)x-4y=3
Answer 2

Answer:

[tex]\huge\boxed{x=\dfrac{19}{5};\ y=\dfrac{1}{5}\to\left(\dfrac{19}{5};\ \dfrac{1}{5}\right)}[/tex]

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x-2y=11&|\text{multiply both sides by (-2)}\\x-4y=3\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-6x+4y=-22\\x-4y=3\end{array}\right}\qquad|\text{add both sides of the equations}\\.\qquad-5x=-19\qquad|\text{divide both sides by (-5)}\\.\qquad\boxed{x=\dfrac{19}{5}}[/tex]

[tex]\text{Substitute it to the second equation}\\\\\dfrac{19}{5}-4y=3\qquad|\text{multiply both sides by 5}\\\\19-20y=15\qquad|\text{subtract 19 from both sides}\\\\-20y=-4\qquad|\text{divide both sides by (-20)}\\\\y=\dfrac{4}{20}\\\\\boxed{y=\dfrac{1}{5}}[/tex]


Related Questions

in a shipment of 400 total parts, 14 parts are found to be defective. Write a sentence that describes the rate of defective parts

a- every 200 parts ,7 are defective
b- a box of 7 parts ,200 hundred parts are defective
c- approximately 57.14 parts, 1 part is defective
d- 28.57, 1 part is defective

Answers

Answer:

I want to say it is A

Step-by-step explanation:

I am not sure though and I am very sorry if you get it wrong

Given a mean of 518, a standard deviation of 22, and a sample size of 200, calculate a 95% confidence interval.

Answers

Answer:

do you want me to look it up for you?

2x+5+3x+6= combine like terms to simplify each expression

Answers

Answer:

5x +11

Step-by-step explanation:

Answer:

5x+11

Step-by-step explanation:

Please give brainliest

A line is perpendicular to y = -x + 1
and intersects the point (-5,1).
What is the equation of this
perpendicular line?

Answers

Answer:

y = 5x + 26

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - [tex]\frac{1}{5}[/tex] x + 1 ← is in slope- intercept form

with slope m = - [tex]\frac{1}{5}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{5} }[/tex] = 5 , thus

y = 5x + c ← is the partial equation

To find c substitute (- 5, 1) into the partial equation

1 = - 25 + c ⇒ c = 1 + 25 = 26

y = 5x + 26 ← equation of perpendicular line

please help.
also, i hope you enjoyed you holidays !

Answers

Answer:

1. angle AXB

2. 52

Step-by-step explanation:

1.supplementary is 180⁰

2.90-38=52

What’s is the solution to the equation x to the power of 2 =16/25

Answers

Answer:

[tex]x=\dfrac{4}{5}[/tex]

Step-by-step explanation:

The given equation is :

[tex]x^2=\dfrac{16}{25}[/tex]

We need to find the value of x.

When the exponent 2 removes from LHS, it will shift to RHS as square root as follows :

[tex]x=\sqrt{\dfrac{16}{25}}[/tex]

We know that, 4×4= 16 and 5×5 = 25

So,

[tex]x=\sqrt{\dfrac{4\times 4}{5\times 5}}\\\\x=\dfrac{4}{5}[/tex]

So, the solution of the given equation is 4/5.

(x⁴ + 8x³ - 45x + 30) ÷ (x + 7)

Topic is Polynomials. Find the answer using long division. Please, provide detailed steps. ​

Answers

Answer:

Step-by-step explanation:

I added 3 images labelled Synthetic division 1 , 2 , 3 . I hope you understand this. It's really hard to type the method in the format so I used an online calculator symbolab.

Answer:

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

Step-by-step explanation:

We need to solve the polynomials [tex](x^4 + 8x^3 - 45x + 30) \div (x + 7)[/tex]

by using long division.

The long division is done in figure attached.

The quotient is: [tex]x^3+x^2-7x+4[/tex]

The remainder is: 2

If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0

Answers

Answer:

K = -7

Step-by-step explanation:

If A=[1 0 -1 7] find K such that A^2-8A-ki-KI=0

Given the 2×2 matrices

A = [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]

We are to find K if  =0

A² =  [tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex][tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]

A² = [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex]

8A = 8[tex]\left[\begin{array}{ccc}1&0\\-1&7\\\end{array}\right][/tex]

8A = [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex]

Since [tex]I = \left[\begin{array}{ccc}1&0\\0&1\\\end{array}\right] \\[/tex]

[tex]KI = \left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex]

Substitute the resulting matrices into the expression above:

A^2-8A-KI =  [tex]\left[\begin{array}{ccc}1&0\\-8&49\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}8&0\\-8&56\\\end{array}\right][/tex] - [tex]\left[\begin{array}{ccc}K&0\\0&K\\\end{array}\right][/tex] =[tex]\left[\begin{array}{ccc}0&0\\0&0\\\end{array}\right][/tex]

From the expression, we have the equations;

1 - 8 - k = 0

-7 - k = 0

-7 = k

k = -7

Hence the value of K is -7

I need help with this question!!!

Answers

Answer: B. positive 6

Step-by-step explanation: Addomg the positive number to a negative number would turn it to a positive eventually. So u covert your factions to decimals to better see the resemblance. And 1 1/2 is the same as 1.5, and 2 1/10 is the same as 2.1 but it’s easier to deal with decimals. So then just add the positive to the negative sense 1 1/2 is closer to zero. I hope this helps I’m not the best at explaining things

solve the equation A = P + Prt for r. Solve the equation A = P + prt for p.

Answers

Answer:

b

Step-by-step explanation:

Y=x2+2x+5
Write each function in vertex form.

Answers

The function in vertex form is y= (x+1)^2+4.

r!×p(5,r)=40....r=??​

Answers

r= 40
pr!(5,r)= 40
hope this helps

Please help I’m so confused, I’ve been doing testes all day so my brain is fried. Pleaseee

Answers

Answer: 40%

Step-by-step explanation: 20 hours jogging/ 50 total hours gives you .4 which is 40%

20/50 equals .4 which is 40% which is the answer

Logan saved $35 from cutting the neighbor’s yard. He earns $10 a week from washing dishes, which he also saves. Which function can be used to find s, the amount of money Logan will have saved at the end of w, weeks of washing dishes?

Answers

the answer is “s = 10w + 35” since he already has 35 but needs to find out how many weeks he washed the dishes :))

Write 230,000,000,000 in scientific notation.
Evaluate: 30 - 12÷3×2 =
Evaluate: |4 - 8(3 - 12)| - |5 - 11| =
Evaluate: -18 + 4(6 ÷ 2)2
Evaluate: 11 + sqrt(-4 + 6×4÷3)
Simplify: 12x3 - 3(2x3 + 4x -1) - 5x + 7
Simplify: (x4 / x3)3
Simplify: (3x2y-2)3 / (9xy3)3
Simplify: (2x-3y4)3(x3 + y)0 / (4xy-2)3
Write as a mathematical inequality:"9 is less than the product of M and N".
Find the slope of the line perpendicular to the line y = (1/3)x - 7​

Answers

Answer:

1. 2.3 x 108

2. 22

3. 70

4. - 84

5. 13

6. 6 3 − 1 7 + 1 0

7. 3x

8. 3x^2y - 2/ xy^3

9. 0

10. mn - 9

11.

good night dears...❤️❤️❤️​

Answers

Answer:

gn

Step-by-step explanation:

Answer:

Good Night! :)

What is the solution to the system below?
x + y = 5
x - y = 3

Answers

( x, y ) = ( 4, 1 )

hope it helps!

Answer:

x= 4

y= 1

Step-by-step explanation:

by adding 2 equations

2x = 8

x= 4

by sub. in Equation 1

4+y=5

y = 5-4

y= 1

what's the difference between whole numbers and integers

Answers

Answer:

Whole numbers cannot include negative numbers. Integers are whole number and they can have negative whole numbers.

Step-by-step explanation:

Whole numbers are all natural numbers including 0 e.g. 0, 1, 2, 3, 4… Integers include all whole numbers and their negative counterpart e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers.

How many times does 20 go into 168?

Answers

The answer:

8 times

Explanation:

If you divide 168 by 20, you get 8.4, and the whole number is 8 so that’s the answer.

Answer:

8.4

Step-by-step explanation:

How many times 20 goes into 168 = 168/20

                                                         = 8.4

Pls mark as brainliest <3

is anyone able to answer this?

Answers

Step-by-step explanation:

(59,76) , (65,100)

independent variable 76times per minute and 100 per minute dependent variable 65°F and 59°F

[tex] m = \frac{y2 - y1}{x2 - x1} = \frac{100 - 76}{65 - 59} = 4[/tex]

y = mx + b

76 = 4(59)+b

b = -160

y= 4x -160

n is m % of what? Help Please!!!!

Answers

9514 1404 393

Answer:

  what = 100n/m

Step-by-step explanation:

You are given ...

  n = m% × what

You know that % is fully equivalent to /100, so this can be written as ...

  n = (m/100) × what

If we want to find "what", we can multiply by the reciprocal of its coefficient. That is, multiplying by 100/m gives ...

  (100/m)n = (100/m)(m/100)×what

  what = 100n/m

_____

Example

13 = 20% of what . . . . . n = 13, m = 20

what = 100(13)/20 = 65

so, 13 = 20% of 65.

What is the average of 139 and 78?

Answers

Answer:

108.5

Step-by-step explanation:

(139 + 78)/2 = 217/2 = 108.5

Answer:

108.5

Step-by-step explanation:

add 139 and 78 then divide by 2

HELP PLEASE!!!!!!! ! ! !!

Answers

It’s c my guy I took the test

how many 3 element subsets of {1, 2, 3, 4, 5, 6, 7, 8, ,9, 10, 11} are there for which the sum of the elements in the subset is a multiple of 3

Answers

Answer:

There are 155 ways in which these elements casn occur.

Step-by-step explanation:

We want 3 element subsets whose sum are multiples of 3

1+2+3= 6

1+2+6= 9

1+2+9= 12

1+9+11=21

1+3+5=9

1+4+8=12

1+5+6=12

1+6+8=15

1+7+10=18

1+8+9=18

1+9+11=21

2+3+7=12

2+4+6=12

2+4+9=15

2+5+11=18

2+6+7=15

2+7+9=18

2+8+5=15

2+8+11=21

2+9+10=21

3+6+9= 18

3+9+11=21

3+10+11=24

6+9+10=27

6+8+11=27

6+7+11=24

7+8+9= 24

8+9+10=27

7+9+11=27 .........

We have 11 elements

We need a combination of 3

The combinations can be in the form

even+ even+ odd

odd+odd+odd

even + odd+odd

So there are 3 ways in which these elements can occur

Total number of combinations with  3 elements =11C3= 165

There are 6 odd numbers and 5 even numbers.

Number of subsets with 3 odd numbers = 6C3= 20

Number of two even numbers and 1 odd number = 5C2*6C1=10*6= 60

Number of 2 odd and 1 even number = 6C2* 5C1= 5*15= 75

So 20+60+75=155

There are 155 ways in which this combination can occur

The number of entertainment websites in 1995 was 54. By 2004 there were 793 entertainment websites. Approximately what was the rate of change for the number of websites for this period of time?
A. 82 websites per year
B. 739 websites per year
C. 12.18 websites per year
D. 424 websites per year

Answers

Answer:

Step-by-step explanation:

2004 - 1995 = 9 years

793 - 54 = 739 new sites

739 / 9 = 82.1111111111

approx  82 websites per year change..  ( delta is change )

can someone please help me :(

Answers

Answer:

41/3 - 14 - Square root of 200

Step-by-step explanation:

41/3 is between 13 and 14

14 is 14

Square root of 200 is between 14 and 15

Чу- 8х + 5x - Зу
OOoO

Answers

Y-3x

Explanation: do 4y-3y which equals 1 which just equals Y. Then do -8x+5x which equals -3x

im gonna assume that ur just simplifying this equation so here it is

y-3x

hope this helped!!

what is 17 / 20 as a decimal​

Answers

I believe the answer is .85

2.3.2: Michael Myers predicts that SAT scores predict college graduation rates in a linear fashion. U of M has an average SAT of 1450 and a graduation rate of 90%. GVSU has an average SAT of 1110 and a graduation rate of 69.6%. Write an equation to represent the linear relationship . Be sure your equation is in slope-intercept form

Answers

Answer:

[tex]y = \frac{5000r}{3} -50[/tex]

Step-by-step explanation:

Represent the SAT score with y and the rate with r.

So, we have:

[tex](r_1,y_1) = (90\%,1450)[/tex]

[tex](r_2,y_2) = (69.6\%,1110)[/tex]

Required

Determine the equation in slope intercept form

First, we calculate the slope

[tex]m =\frac{y_2 - y_1}{r_2 - r_1}[/tex]

This gives:

[tex]m =\frac{1110 - 1450}{69.6\% - 90\%}[/tex]

[tex]m =\frac{-340}{-20.4\%}[/tex]

Convert percentage to decimal

[tex]m =\frac{-340}{-0.204}[/tex]

[tex]m =\frac{340}{0.204}[/tex]

Multiply by 1000/1000

[tex]m =\frac{340*1000}{0.204*1000}[/tex]

[tex]m =\frac{340000}{204}[/tex]

[tex]m = \frac{5000}{3}[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(r - r_1)[/tex]

This gives:

[tex]y - 1450 = \frac{5000}{3}(r - 90\%)[/tex]

Open Bracket

[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*90\%[/tex]

Convert percentage to decimal

[tex]y - 1450 = \frac{5000r}{3} - \frac{5000}{3}*0.90[/tex]

[tex]y - 1450 = \frac{5000r}{3} - 5000*0.30[/tex]

[tex]y - 1450 = \frac{5000r}{3} - 1500[/tex]

Make y the subject

[tex]y = \frac{5000r}{3} - 1500+1450[/tex]

[tex]y = \frac{5000r}{3} -50[/tex]

Can somebody help me

Answers

Answer:

AB ≈ 3.14 ft

Step-by-step explanation:

The arc AB is calculated as

AB = circumference of circle × fraction of circle

    = πd × [tex]\frac{45}{360}[/tex] ( where d is the diameter )

    = 8π × [tex]\frac{1}{8}[/tex]

   = π

   ≈ 3.14 ft ( to 2 dec. places )

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