Solve the system of equations -x + 2y = –2 and 6x – y = -43 by combining
the equations.

Answers

Answer 1

Answer:

{x,y}={-8,-5}

Step-by-step explanation:

/ Solve equation [2] for the variable  y

 [2]    y = 6x + 43

// Plug this in for variable  y  in equation [1]

  [1]    -x + 2•(6x+43) = -2

  [1]    11x = -88

// Solve equation [1] for the variable  x

  [1]    11x = - 88

  [1]    x = - 8

// By now we know this much :

   x = -8

   y = 6x+43

// Use the  x  value to solve for  y

   y = 6(-8)+43 = -5

Solution :

{x,y} = {-8,-5}

hope this helps!


Related Questions

8 A sponge is found to be growing bacteria. The number of the bacteria cells on the sponge triples every week. There are currently 26 cells. Write an expression that shows the number of cells in six weeks. How many bacteria cells are on the sponge after six weeks?​

Answers

((((((26*3)*3)*3)*3)*3)*3)= 18954

Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.

The expression ____represents the number of marbles Jake has.

Answers

Answer:

2m + 3

Step-by-step explanation:

Jake has 3 more than twice the number of marbles that Kylie has. Let m represent the number of marbles Kylie has.

3 + twice of Kylie's marbles = twice of Kylie's marbles + 3

The amount of marbles kylie has is represented with m, making it (2 x m) + 3 = 2m + 3.

And so another math question appears, wooooo,,

Please help me :"D​

Answers

Answer:

LV = OE =34

Step-by-step explanation:

Due to the rectangle theory,

LV = OE

3x + 10 = 5x-6

-2x = - 16

x = 8

LV = 3(8) +10 = 34

OE= 5(8)-6 = 34


Match equivalent expressions. Numbers and letters go together
A. (x +9)(x+2)
B. (x-2)(x-3)
C. (x + 2)(x+3)
D. (x-2)(x+3)
E. (X-9)(x+2)
F. (x-9)(x-2)

1. x²+x-6
X
2. x2 +11x +18
3. x2 - 7x -18
4. x2-5x +6
5. x2 - 11x +18
6. x2 + 5x + 6

Answers

Answer:

(a) (x+9) (x+2)

(b)(x-2) (x-3)

(c) (x+2) (x+3)

(f) (x-9) (x-2)

(2) x2+11x+18

(3) x2-7x - 18

(6) x2+5x+6

Step-by-step explanation:

i need help really bad im slow

Answers

Answer:

Always try to isolate the variable by doing the INVERSE operation of the given.
so x-5=6
So its -5
You add 5 since its the inverse of it.
So add 5 to both sides or (c)

Answer:

C.) Add 5 to both sides.

Step-by-step explanation:

x - 5 = 6

Add five to both sides.

x - 5 = 6

 + 5  + 5

-5 and +5 cancel out. 6 + 5 is 11.

x = 11

Hope this helped!

(P.S: You're not slow! Everyone works at different paces! You're doing awesome!)

Simplify
21x^6y^4/14x^2y9

Answers

Answer:

3x^4/2y^4

Step-by-step explanation:

Just simplify it and you can get the answer

[tex]\orange{\bigstar\underline{\underline {\pmb{\frak{ \purple{Required~Answer}}}}}}[/tex]

[tex] \leadsto \tt \dfrac{21 {x}^{6} {y}^{5} }{14 {x}^{2} {y}^{9} } [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt \dfrac{21 {x}^{6 - 2} {y}^{5} }{14 {x}^{0} {y}^{9} } [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{5} }{14 {y}^{9} } [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt \dfrac{21 {x}^{4} {y}^{0} }{14 {y}^{9 - 5} } [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt \dfrac{21 {x}^{4} }{14 {y}^{4} } [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \tt \dfrac{3{x}^{4} }{2 {y}^{4} } [/tex]

I really need help with this I don’t have much time

Answers

Answer:

The answer is 5 because you will have to subtract 12 from 112 to get 100 and then divide 100 by 20 to get the answer 5.

The theater group sold adult and student tickets for the play. They sold a total of 560 tickets. Each adult ticket was $8 and each student ticket was $3.50. The group took in a total of $3166. How many of each type of ticket was sold for the play?

Answers

Answer:

268 adult and 292 student tickets sold

Step-by-step explanation:

a = number  adult tickets sold

s =  number student tickets sold

a + s = 560

8a + 3.50s = 3166

a = 268 adult tickets

s = 292 student tickets

Find the missing sides
Use the image below

Answers

Answer:

[tex]x =3 \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]

Step-by-step explanation:

[tex] \tan(45) = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ 1 = \frac{y}{ \frac{3 \sqrt{2} }{2} } \\ \\ y = \frac{3 \sqrt{2} }{2} [/tex]

[tex] \cos(45) = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \frac{1}{ \sqrt{2} } = \frac{ \frac{3 \sqrt{2} }{2} }{x} \\ \\ \\ x = \sqrt{2} \times \frac{3 \sqrt{2} }{2} \\ \\ x = \frac{3(2)}{2} \\ \\ \\ x = 3[/tex]

Help please im struggling.

Answers

Answer:

D. 2,2

Step-by-step explanation:

The midpoint just means the point in the middle of the line, and if you count inwards from each of the points, you'll find that D is the midpoint.

Answer:

A

Step-by-step explanation:

from the top one (Point A), to the bottom one (Point B) you go down 12 and to the right 8.

Steve manages a skate park and he has been analyzing the attendance data. Steve finds that the number of visitors increases exponentially as the temperature increases, and this situation is represented by the function f(x) = 5x. Steve also finds a linear equation that models the number of people who leave the park early depending on the change in temperature, and it is represented by g(x) = −x 6. The graph of the two functions is below. Find the solution to the two functions and explain what the solution represents.

Answers

Answer:

See the Analysis

Step-by-step explanation:

Solution: From the problem

[tex]\left \{ {{f(x)=5^{x} } \atop {g(x)=-x+6}} \right.[/tex]

From 1 and 2

[tex]5^{x}=-x+6\\ x=1, y=5[/tex]

It means that the temperature is leaving as many people as it is increasing.

the area of the rectangle shown is 66m^2
width = 4 2/5
length = x
work out the missing length x

Answers

Answer:

143cm

Step-by-step explanation:

Area=2(l+b)

Substitute the values for the variables.

66=2(l+22/5)

66=2xl+2x22

5

66=2l+44

5

Cross multiply

66x5=2l+44

330=2l+44

Collect like terms

-2l = 44-330

-2l = -286

-2l = -286

-2 -2

l=143

The missing length is 143m.

help me with angle sum theorem please what is y

Answers

Answer:

y = 140

Step-by-step explanation:

All angles inside the triangle will equal 180

Set your formula up as

180 = x + 120 + 20

180 - 120 - 20 = x

40 = x

y+x will also equal 180, therefore

180 = y + x

180 = y + 40

180 - 40 = y

140 = y

Is 2/9 greater than 5/9 explain

Answers

Answer:

No

Step-by-step explanation:

Because 2/9 is 22 5/9=55

In decimals 2/9=0.222 and 5/9=0.555  so does that help

Have a great day :}

PLEASE HELP!! with solution needed!!

Answers

X=15 :))))))))))))))))))

Answer:

[tex]x = 15 \\ [/tex]

Step-by-step explanation:

[tex] \frac{2x - 12}{3} = \frac{2x}{5} \\ 5(2x - 12) = 3(2x) \\ 10x - 60 = 6x \\ 10x - 6x = 60 \\ 4x = 60 \\ \frac{4x}{4} = \frac{60}{4} \\ x = 15 \\[/tex]

Find the real zeros of r(z)=4z−z3

Answers

Answer:

Step-by-step explanation:

r(z)=z

so the real zero is when z = 0

did you mean 4z^2?

Use the function: g(x) = (x + 2)(x - 1)(x - 2) a) Find the zeros of the function. b) Find the y-intercept of the function.

Answers

Answer:

The zeros are -2, 1, and 2

Step-by-step explanation:

You have to set each individual equation equal to zero.

ex: (x+2) x+2=0 move the number to the right hand side to get x alone x=-2

as for the y intercept I don't know

Answer:

see explanation

Step-by-step explanation:

g(x) = (x + 2)(x - 1)(x - 2)

To find the zeros let g(x) = 0 , then

(x + 2)(x - 1)(x - 2) = 0

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

x - 2 = 0 ⇒ x = 2

The zeros are x = - 2, x = 1, x = 2

To find the y- intercept substitute x = 0 into g(x)

g(0) = (0 + 2)(0 - 1)(0 - 2) = 2(- 1)(- 2) = 2 × 2 = 4

The y- intercept is 4 or (0, 4 )

please help will mark brainliest

Answers

Answer: 5a+6b over 3

The product of 8 and the difference of n and 3

Answers

8(n-3)

simpilify

8n-24

Help me solve this problem

Answers

Answer:

The length of the missing leg is six

Step-by-step explanation:

Assuming that this is a right triangle, you can use the Pythagoras theorem

12^2+x^2=sqrt180^2

144+x^2=180

x^2=36

x=6

Therefore, the length of the missing leg is six.

Answer:

Taking the above as a right angled triangle...

Pythagoras' rule can be applied to get the Missing side.

It goes...

Hyp² = Opp² + Adj²

Which translates to Hypotenuse, Opposite and Adjacent respectively.

Hyp = √180

Opp= 12

So we're missing Adj

Making adj the subject.

Adj = √ Hyp² – Opp²

= √[(√180)² – (12)²

= √ [ 180 – 144]

= √36

Adj = 6ft.

Determine the equation of the circle graphed below.
Please help, thanks

Answers

Answer:

If you are finding the equation using two points then the answer is

y = −2 x + 1

If this does not help, just ignore honestly.

The area of a rectangle is (x4 4x3 3x2 – 4x – 4), and the length of the rectangle is (x3 5x2 8x 4). If area = length × width, what is the width of the rectangle?.

Answers

The width of the rectangle, for which area and length provided in polynomial equation form is,

[tex](x^43x^3+8x^2+4x)[/tex]

What is the area of a rectangle?

Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, (a)is the length of rectangle and (b) is the width of the rectangle

The area of the given rectangle is,

[tex]A=(x^4 +4x^3 +3x^2 - 4x - 4),[/tex]

The length of the given rectangle is,

[tex]L=x^3+ 5x^2 +8x+ 4).[/tex]

As, the area of a rectangle is the product of the length and the width of the rectangle. Let suppose the width of the rectangle is f(x). Therefore,

[tex](x^4 +4x^3 +3x^2 - 4x - 4)=(x^3+ 5x^2 +8x+ 4)\times f(x)[/tex]

Solve it further as,

[tex]f(x)=(x^4 +4x^3 +3x^2 - 4x - 4)-(x^3+ 5x^2 +8x+ 4) \\f(x)=(x^4 +4x^3 +3x^2 - 4x - 4-x^3+ 5x^2 +8x+ 4[/tex]

Separate the like terms with same power of variable as,

[tex]f(x)=x^4 +4x^3-x^3 +3x^2 + 5x^2- 4x +8x- 4 + 4\\f(x)=x^43x^3+8x^2+4x[/tex]

Hence, the width of the rectangle, for which area and length provided in polynomial equation form is,

[tex](x^43x^3+8x^2+4x)[/tex]

Learn more about the area of rectangle here;

https://brainly.com/question/11202023

A cell phone company conducted a survey to determine if customers were satisfied with their cell phone service. The survey sample consisted of all customers who had contacted the company within the past year and who agreed to participate. Of the 420 customers surveyed, 65% reported that they were not satisfied with their service.

Which statement about this sample is true?


A Exactly 65% of all customers are not satisfied with the cell phone service.

B The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,

C The sample might not be representative of the population because, in general, satisfied customers have no reason to contact the company.

D No generalizations can be made from this sample because the sample size is too small.

Answers

The statement that is true about the given sample is that;

B. The sample includes all customers who made complaints to the company within the last year, and therefore is representative of the population. ,

Sample Statistics Interpretation

We are given;

Sample size; n = 420

Sample proportion; p^ = 65%

Now, from the sample size and proportion, we can say that;

Exactly 65% of the surveyed customers were not satisfied with the cell phone service. Now, this only represents those surveyed and not the entire population. Thus it is not exactly 65% of all customers that are not satisfied with the cell phone service.

Option B is correct because the 420 customers surveyed is a sample from the population of all their customers within the last year.

Read more about sample statistics at; https://brainly.com/question/7301139

Answer:the answer is b

Step-by-step explanation:

If you read the problem you would know

determine the equation of f(x)=x²-4 when shifted 2 units to the left​

Answers

X^2-4-2= x^2-6

To the left means negative which means it will be -2.

Please like and brainiest

Find the equation of the following exponential, using the form a(b)^x

I keep getting this wrong because I don't know what points to use for the equation

Answers

Check the picture below.

[tex]f(x)=ab^x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{x=0\qquad f(x)=-1}\qquad -1=ab^0\implies -1=a(1) \\\\\\ -1=a ~\hfill \underline{f(x)=-1b^x} \\\\\\ \stackrel{\textit{we also know that}}{x=1\qquad f(x)=-4}\qquad -4=-1b^1\implies \cfrac{-4}{-1}=b^1 \\\\\\ 4=b ~\hfill \underline{f(x)=-4^x}[/tex]

Can you help me with this please? because I am confused

Answers

Answer:

Make a line a bit close to -1

Step-by-step explanation:

-2 3/4 can be re-written as -2.75 therefore you have to mark close to the number -1

1-Find the missing number:
8(7+23)=8(7)+8(?)

2- ?(4-2)=3(4)-3(2)

3- 6(x + 5)

4- -3(4 +x)
————————————————
Use distributive property to rewrite the expression
5- -8(7x - 2)

6- (-9+8x)10

7- 9(-2x+5y - 3)

8- -6(-x-4y+7)
———————————————-
9- expand the expression
-1/3 (2w-3x +3)

10- expand the expression
Y(-1.2w. + 3)

Answers

1) 23

2) 3

3) 6x+5 (I am not sure what they ask for)

4) -12+x

5) -56x + 16

6) -90+80x

7) -18x+45y-27

8) 6x+24y-42

9) 2/3w+x-1

10) -1.2wy +3y

Somebody please help me out !! (Theres a photo attached)

Answers

Answer: many solutions

Ok done. Thank to me :>

pls i need help with ratios

Answers

Answer:

People to tables: 5:1

Tables to people: 1:5

Step-by-step explanation:

Please can someone explain and help me I am giving away 14 points the question is in the image

Answers

Answer:

The area is 67.36 cm squared

Step-by-step explanation:

The height is 8.982. The base is 15. 8.982 * 15 = 134.73 / 2 = 67.36

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