Solve each system of equations of equations.

x + y = -6

2x - y = 3​

Answers

Answer 1

Answer:

x = -1, y = -5

Step-by-step explanation:

x + y = -6

2x - y = 3​

Add the two equations together to eliminate y

x + y = -6

2x - y = 3​

------------------

3x =  -3

Divide by 3

3x/3 = -3/3

x = -1

Now find y

x+y = -6

-1+y = -6

Add 1 to each side

-1+1 +y = -6+1

y = -5


Related Questions

Help me please i dont understand :(

Answers

h(x)=0 means that you replace the x in the problemwith the number given. 4(0)+4= 4

Solve

LaTeX: \frac{-x}{3}<5

Answers

Answer:

x > -15

Step-by-step explanation:

-x / 3 < 5

(-x / 3) * 3 < 5 * 3

-x < 15

x > -15 (Remember to flip the sign when multiplying or dividing an inequality by a negative number.)

Answer:

49

Step-by-step explanation:

what is the mathematical symbol for 0 is an integer

Answers

Answer:

0

Step-by-step explanation:

there is no symbol for 0

Solve for t.

-1 (t + 8) = -1.7

Answers

Answer:

t=-6.3

Step-by-step explanation:

-1 (t + 8) = -1.7

-1*t+-1*8=-1.7

-1t-8=-1.7

   +8      +8

-1t=-1.7+8

-1t=6.3

-1t/-1=6.3/-1

t=-6.3

I hope this helped you.

Please mark Brainliest.

Have a great day!!!!!!!!

Answer: -6.3

Step-by-step explanation:

distribute whats in the parenthesis and you should get -1t-8= -1.7add 8 on both sides... -8 should cancel out with the positive 8 and you should get 6.3 when solving for -1.7+8. Drop your -1t divide -1 on both sides and the answer should be -6.3

let me know if you have any questions

A rectangle is 5 times as long as it is wide. If the area is 45 square feet, find its perimeter.

Answers

Answer:

225 sq ft

Step-by-step explanation:

If the rectangle is 5 times as long as it is wide and the area is 45 sq ft then that would make it 225 sq ft. Happy to help!

L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).

Answers

Answer:

2y+x = 5

Step-by-step explanation:

Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line

(x₀, y₀) is the given point.

First is to get the slope of the known line:

comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 i.e

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (1,2) and m₁ = -1/2

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

open the parenthesis

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

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

Hence the equation of the line L2 is 2y+x = 5

Find the volume of the shipping box using the two methods and show your work: Packing cubes Using the volume formula Explain how both methods provide the same measurement of volume for the shipping box.

Answers

Answer:

Volume is the measure of how big an object is in three dimensions, so the volume of a box measure how much room there is inside of the box. To find it, you need to make a few simple measurements of length, width, and height, and then multiply them.

Step-by-step explanation:

What the hello does this mean -----> 42 × 10 = 10 – 4 × 70

Answers

Answer:

whatever 42 times 10 equals, it also equals what ten minus 4 times seventy is

Step-by-step explanation:

so both 42 × 10

and 10 – 4 × 70

EQUAL

420

(pffft 420....sorry its funny)

Answer:

Associative properties

Step-by-step explanation:

42 x 10 = 420

(10-4)=6

6 x 70 = 420

given the following functions f(x) and g(x), evaluate (gºf)(-2). Enter answer.
f(x)=2x^2+2x-5
g(x)=-1/-4x+6​

Answers

Answer:

the composition results in [tex]\frac{23}{4}[/tex]

Step-by-step explanation:

Assuming that what you typed for function g is correct (looks a bit peculiar, but we will use it as typed):

[tex]g(x)=-\frac{1}{-4x} +6[/tex]

gof(-2) can be understood as: g(f(-2)), so what we need to do is to find the value for f(-2) using its given expression, and using then the obtained value as input for g(x):

[tex]f(x)=2x^2+2x-5\\f(-2)=2\,(-2)^2+2\,(-2)-5\\f(-2)= 8-4-5\\f(-2)= -1[/tex]

So, we now evaluate g(-1):

[tex]g(x)=-\frac{1}{-4x} +6\\g(-1)= -\frac{1}{-4(-1)} +6\\g(-1)= -\frac{1}{4} +6\\g(-1)=\frac{23}{4}[/tex]

Sofia invests her money in an account paying 7% interest compounded semiannually. What is the effective annual yield on this account? Enter your response as a percentage rounded to two decimal places and omit the percentage sign

Answers

Answer:

7.12

Step-by-step explanation:

The formula for the effective annual yield is given as:

i = ( 1 + r/m)^m - 1

Where

i = Effective Annual yield

r = interest rate = 7% = 0.07

m= compounding frequency = semi annually = 2

i = ( 1 + 0.07/2)² - 1

i = (1 + 0.035)² - 1

= 1.035² - 1

= 1.071225 - 1

= 0.071225

Converting to percentage

0.071225 × 100

= 7.1225%

Approximately to 2 decimal places = 7.12

Therefore, the annual effective yield = 7.12

Write a story that includes both integers -10 and 12.

Answers

Answer:

In Alaska, it was -10 degrees in the morning and rose by 12 degrees.

Step-by-step explanation:


Write a number (in standard form) that has the digit 7 in the thousands place. Use the digit 7 only once.

Answers

Answer:

7123

Step-by-step explanation:

The only requirement is to have 7 in the thousands place, which I've done, and the rest of the numbers can be any number you choose!

Which expression is equivalent to 2(n - 7) - 3(2 -6n)

Answers

Answer:

20(n - 1)

Step-by-step explanation:

2(n - 7) - 3(2 -6n) =

= 2n - 14 - 6 + 18n

= 20n - 20

= 20(n - 1)

The value of the equation A = 2(n - 7) - 3(2 -6n) is

A = 20 ( n- 1 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be A

Now , the equation A = 2( n - 7 ) - 3( 2 - 6n )

The equation can be simplified as

A = 2(n) - 2(7) - 3(2) + 3(6n)

A = 2n - 14 - 6 + 18n

Now , on adding the similar terms in the equation , we get

A = 2n + 18n - ( 14 + 6 )

A = 20n - 20

Taking the common term of 20 , we get

A = 20 ( n - 1 )

Therefore , the value of A is 20 ( n - 1 )

Hence , The value of the equation A = 2(n - 7) - 3(2 -6n) is A = 20 ( n- 1 )

To learn more about equations click :

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What is an equation of the line that passes through the points (3, 4) and (4, 6)?

Answers

Answer:

____________

y = 2x - 2

____________

I think this is correct

here's it plotted

Answer

y = 2x - 2

Step-by-step explanation

Algebra questions.

if x=3 then 2x3-2=4

So if it WAS 3 then Y would be 4

Need help on this one. Sort of confused.

Answers

Answer:

I'm just as confused as you lol

um honestly same i’m so confused maybe ask the teacher for help

Alternate Interior Angles Theorem a. b. c. Corresponding Angles Flow Proof a. b. c. d. e. Proof Diagram a. b. c.

Answers

Answer:

Step-by-step explanation:

(1). m∠5 = 40° → (a) Given

m∠2 = 140° → (b) Given

∠5 and ∠2 are supplementary angles → (c) Interior angles on the same side of the transversal.

∠5 and ∠2 are the same side interior angles → (d) Both angles are supplementary

a║b → (e) By interior angles theorem of the parallel lines.

(2).            Statements                 Reasons

   1.     l║n                               1. Given

   2.    ∠2 ≅ ∠6                      2. Corresponding angles  

   3.    ∠4 ≅ ∠2                      3. Vertical angles

   4.    ∠6 ≅ ∠4                      4. Transitive property of equality

(3).         Statements                Reasons

     1.       ∠1 ≅ ∠5                   1. Given

    2.       ∠4 ≅ ∠1                  2. Vertical angles

    3.       ∠4 ≅ ∠5                 3. Alternate interior angles

    4.       p║r                         4. Definition of parallel lines

From the site a certain ramp has a right triangular shape its height is 30 cm and it’s horizontal length is 3 m what calculation will give us the estimated length of the ramp in meters

Answers

Answer:

[tex]a^{2} +b^{2} =c^{2}[/tex]

Step-by-step explanation:

C is the horisontal and a or b can be the height, plug in the numbers and you solve for length.

Answer:

(sqr) 30^2/100^2+3^2

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints.
(5,9) and (0,3)

Answers

Answer:

(5/2, 6)

Step-by-step explanation:

(x, y)=[(5+0)/2, (9+3)/2]

(x, y)=[5/2, 12/2]

(x, y)=(5/2, 6)

The Midpoint of the Line Segment that has the endpoints (5,9) and (0,3) is (5/2,6).

What is the line segment?

In geometry, a line segment is a part of a line that is bounded by two end points, and contains every point on the line that is between end points.

Now it is given that,

The endpoints of line segment is (5,9) and (0,3)

So, x₁ = 5

y₁ = 9

x₂ = 0

y₂ = 3

Let (x,y) be the midpoint of segment .

∴To find the midpoint of segment we have,

(x,y) =  {[(x₁+x₂ )/2] , [(y₁+y₂ )/2]}

Put the values, we get

(x,y) = (5+0)/2 , (9+3)/2

solving them,

(x,y) = {(5/2) ,(12/2)}

or,

(x,y) = (5/2,6)

which is the required midpoint of the line segment.

Hence,the Midpoint of the Line Segment that has the endpoints (5,9) and (0,3) is (5/2,6).

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write the sentence as a equation
b is 380 more than the quality y times 268​

Answers

A: b = 268y + 380
is : =

Determine whether each set {p1,p2} is a linearly independent set in P3.
1. The polynomials p1 (t) = 1 + t2 and p2(t) = 1 - t2.
2. The polynomials p1 (t) = 2t + t2 and p2(t) = 1 + t.
3. The polynomials p1(t) = 2t - 4t2 and p2(t) = 6t2 - 3t.

Answers

Answer:

1) The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient, 2) The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent, 3) The polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.

Step-by-step explanation:

A set is linearly independent if and only if the sum of elements satisfy the following conditions:

[tex]\Sigma_{i=0}^{n} \alpha_{i} \cdot u_{i} = 0[/tex]

[tex]\alpha_{0} = \alpha_{1} =...=\alpha_{i} = 0[/tex]

1) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (1+t^{2})+\alpha_{2}\cdot (1-t^{2}) = 0[/tex]

[tex](\alpha_{1}+\alpha_{2})\cdot (1) +(\alpha_{1}-\alpha_{2})\cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]\alpha_{1} + \alpha_{2} = 0[/tex] Eq. 1

[tex]\alpha_{1}-\alpha_{2} = 0[/tex] Eq. 2

From Eq. 2:

[tex]\alpha_{1} = \alpha_{2}[/tex]

In Eq. 1:

[tex]2\cdot \alpha_{1} =0[/tex]

[tex]\alpha_{1} = 0[/tex]

[tex]\alpha_{2} = 0[/tex]

The polynomials [tex]p_{1}(t) = 1 +t^{2}[/tex] and [tex]p_{2}(t) = 1-t^{2}[/tex] are linearly independient.

2) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (2\cdot t+t^{2})+\alpha_{2}\cdot (1+t) = 0[/tex]

[tex]\alpha_{2}\cdot (1) +(2\cdot \alpha_{1}+\alpha_{2})\cdot t +\alpha_1 \cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]\alpha_{2} = 0[/tex]

[tex]2\cdot \alpha_{1}+\alpha_{2} = 0[/tex]

[tex]\alpha_{1} = 0[/tex]

The polynomials [tex]p_{1}(t) = 2\cdot t +t^{2}[/tex] and [tex]p_{2}(t) = 1+t[/tex] are linearly independent.

3) The set of elements form the following sum:

[tex]\alpha_{1}\cdot p_{1}(t)+\alpha_{2}\cdot p_{2}(t) = 0[/tex]

[tex]\alpha_{1}\cdot (2\cdot t-4\cdot t^{2})+\alpha_{2}\cdot (6\cdot t^{2}-3\cdot t) = 0[/tex]

[tex](2\cdot \alpha_{1}-3\cdot \alpha_{2})\cdot t + (-4\cdot \alpha_{1}+6\cdot \alpha_{2})\cdot t^{2} = 0[/tex]

From definition this system of equations must be satisfied:

[tex]2\cdot \alpha_{1}-3\cdot \alpha_{2} = 0[/tex] (Eq. 1)

[tex]-4\cdot \alpha_{1}+6\cdot \alpha_{2} =0[/tex] (Eq. 2)

It is easy to find that each coefficient is multiple of the other one, that is:

[tex]\alpha_{1} =\frac{3}{2}\cdot \alpha_{2}[/tex] (From Eq. 1)

[tex]\alpha_{1} = \frac{6}{4}\cdot \alpha_{2}[/tex] (From Eq. 2)

[tex]\alpha_{1} = \frac{3}{2}\cdot \alpha_{2}[/tex]

Which means that polynomials [tex]p_{1}(t) = 2\cdot t - 4\cdot t^{2}[/tex] and [tex]p_{2}(t) = 6\cdot t^{2}-3\cdot t[/tex] are linearly dependent.

I need some help with this question. "A scale drawing of a school bus has a scale of an inch to 5 feet. If the length of the school bus is in inches on the scale drawing, what is the actual length of the bus?"

Answers

Answer:

45 Feet

Step-by-step explanation:

4.5 divided by 0.5=9

9 times 5=45

Hoped this helped!

1. Find the value of the expression.
7755 • 21

Answers

7755 x 21 is 162,855

Answer:

you can just calculate the answer

Step-by-step explanation:

on a calculated put 7766 times 21 and that will be your answer

Simplify the given expression below:
(-5 + 3i) times(1 - 2i)

Answers

Answer:

Step-by-step explanation:

Hello,

[tex](-5+3i)\times(1-2i)=-5(1-2i)+3i(1-2i)\\\\=-5+10i+3i-6i^2\\\\=-5+13i+6\\\\\boxed{=1+13i}[/tex]

Thanks

Answer:

Same answer as the other person, it is 1 + 13i

Step-by-step explanation:

They were first and is right so I don't think I have to put down a explanation! ^^

Please 5 stars and thank me if I'm right! -w-

Another college precalculas question, please and thank you!

Answers

Answer:

B) (-∞,∞)

Step-by-step explanation:

The domain is the x-values, so it’s all real numbers in this graph.  

I would use interval notation and choose B) (-∞,∞)

The range is the y-values, so it’s (2,-1), if that’s the next question.

(10x^4+5x^3+4x^2-9)(x-1)​

Answers

Answer:

10x3 - 5x2 + 9x - 9

Step-by-step explanation:

                           10x4 + 5x3 + 4x2 - 9

Simplify   ————————————————————

                                        x + 1        

Answer:

10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9

Step-by-step explanation:

(10x^4+5x^3+4x^2-9) × (x-1)​

10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9

Collect Like terms

10^5 - 10x^4 + 5x^4 -5x^3 +4x^3 - 4x^2 -9x + 9

10^5 - 5x^4 -x^3 - 4x^2 -9x + 9

Final Answer

10x^5 - 5x^4 - x^3 - 4x^2 - 9x + 9

7.
A dental office starts the month with 2,258 latex examination gloves. At month's end,
784 gloves remain. How many gloves were used?

Answers

2258 latex gloves
784 gloves remain
How many were used means we have to subtract

2258 - 784 = 1474
1474 gloves were used

soIve: 12 = -4(-6x - 3)


x = -0.625
x = -0.375
x = -2
x = 0

Answers

Answer:

The answer is "x = 0"

Step-by-step explanation:

Step-by-step explanation: Hope this answer is helpful...

Make me as brainliest...

Angles that are supplementary

Answers

Answer:

Two angles are said to be supplementary when they add up to 180°.

Answer:

Angles are supplementary if the add up to 180 degrees

Step-by-step explanation:

So many different angles can be supplementary.

Examples:

Ajacent Angles

Corresponding Angles

Alternate Interior Angles

Alternate Exterior Angles

And a few other angles

Hope This Helps :)

Which graph represents the inequality 3y-5x<-6?

Answers

Answer:

First Graph

Step-by-step explanation:

3y-5x<-6

3y<5x-6

y<5/3x-6/3

y<5/3x-2

plug in the coordinates (0,0)

0<0-2

0<-2

0 is not less than -2

therefore the graph would be shaded opposite of (0,0)

9 pencils cost 7.74 what is the equation of the cost of 6 pencils​

Answers

Answer:

6 pencils cost $5.16.

Step-by-step explanation:

1. Find the cost of one pencil.

Divide: $7.74 ÷ 9 = $0.86 for one pencil

2. Multiply 0.86 by 6

$0.86 × 6 = $5.16

Answer:

2/3 multiply with 7.74

=5.16

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