Tell whether the ordered pair is a solution of the linear system.

(4, -1)
x + 2y = 2
x - 2y = 6 ​

Answers

Answer 1

Answer:

(4,-1) is a solution

Step-by-step explanation:

x + 2y = 2

x - 2y = 6

We want to see if (4,-1) is a solution to the system.

To do so we plug in x = 4 and y = -1 into both equations and if it is true then the ordered pair is a solution but if one of the equations isn't true then the solution isn't a solution

x + 2y = 2

==> plug in x = 4 and y = -1

4 + 2(-1) = 2

==> multiply 2 and -1

4 - 2 = 2

==> subtract 2 from 4

2 = 2

x - 2y = 6

==> plug in x = 4 and y = -1

4 - 2(-1) = 6  

==> multiply -2 and -1

4 + 2 = 6

==> add 4 and 2

6 = 6

Both equations are true therefore (4,-1) is indeed a solution to the system


Related Questions

I NEED THAT ANSWER ASAP

Answers

Answer:

12.7

Solving steps:-

d = a√2

d = 9 (1.41)

d = 12.69

d = 12.7

The length of a rectangle is five time it’s width. If the perimeter of a rectangle is 84ft, find its area

Answers

Answer:

Area = 245 ft

(Width

Step-by-step explanation:

l = 5w

Where l is length and w is width.

We also know that the perimeter is 84 ft, so:

2l + 2w = 84

Now we can plug in 5w for l since we found the equality earlier:

2(5w) + 2w = 84

and then solve for w:

10w + 2w = 84

12w = 84

w = 7

so

l = 5 × 7

l = 35

The length is 35 and width is 7 so

the area of the rectangle is

[tex]7 \times 35 = 245ft [/tex]

WILL GIVE BRAINLIEST

For what value of k will the relation R= {(2k+1, 3), (3k-2, -6)} not be a function?

Answers

Answer:

3

Step-by-step explanation:

2k+1 = 3k -2

k =3

every child has a 1 mom

f 7 = 3 f7= -6 this is imposible

[tex]\sf \boxed{\bold{k = 3}}[/tex]

Explanation:

If the first values of the two ordered pairs are the same, the relation is not a function.

Solve:

2k + 1 = 3k -2

2k - 3k = -2-1

-k = -3

k = 3

When k = 3, for the relation R= {(2k+1, 3), (3k-2, -6)} will not be a function.

Answer question attached. No working needed.

Answers

x= - 0.9, y=2.9

Or

x= 2.9, y= -0.9

Hope this helps!

Can someone help me?

Answers

Answer:

CE

Step-by-step explanation:

CE IS THE REQUIRED ANSWER FOR THE GIVEN QUESTION

Reflect triangle ABC over the line y = 2.

Translate the image by the directed line segment from (0, 0) to (3, 2).

What are the coordinates of the vertices in the final image?

Answers

The question is an illustration of transformation, and the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

How to transform the triangle?

The coordinates of the triangle are given as:

(-6,-1), (-5,2) and (-3,0)

When the triangle is reflected across the line y = 2 is, the new points are

(-6,5), (-5,2) and (-3,4)

Next, we translate the image of the triangle using the translation

(x,y) -> (x + 3, y +2)

So, we have:

(-6,5) => (-6 + 3, 5 + 2) = (-3,7)

(-5,2) => (-5 + 3, 2 + 2) = (-2,4)

(-3,4) => (-3 + 3, 4 + 2) = (0,6)

Hence, the coordinates of the image of the triangle are (-3,7), (-2,4) and (0,6)

Read more about transformation at:

https://brainly.com/question/4289712

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Edgy question please help

What is the true solution to the equation below?
2 in en 2x - In en 10x - In 30
x - 30
O x - 75
OX-150
X-300

Answers

Answer:

B

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

2 * ln (e ^ ln (2x)) - ln (e ^ ln (10x)) = ln (30)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) +logc (b)

Apply exponent rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rules

2 * ln (2x) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

ln (2x) = ln (2) + ln (2)

2(ln (2) + ln (x)) - ln (10x) = ln (30)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

Apply log rule: logc(ab) = logc(a) + logc (b)

ln (10x) = ln (10) + ln (x)

2(ln(2)+ln(x))-(ln(10)+ln(x))=]

Expand 2(ln(2) +ln(x)

ln (x) + 2 * ln (2) - ln (10) = ln (30)

Subtract 2 * ln (2) - ln (10) from both sides

In(x) + 2ln(2) - In(10) - (2ln(2) - In

Simplify

ln (x) = ln (30) - 2 * ln (2) + ln (10)

Simplifify ln (30) - 2 * ln (2) + ln 10

ln (x) = ln (75)

Apply log rule: If logb(f(x)) = logb (g(x)) then f(x) = g(x)

x = 75

Verify Solutions: X = 75

Check the solutions by plugging them

into 2 * ln (2x) - ln (10x) = ln (30) Remove the ones that don't agree with the equation.

Plug in x =75

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

2 * ln (2 * 75) - ln (10 * 75) = ln (30)

ln (30) = ln (30)

True

100! POINTS

You and your partner will each study 2 student scenarios to see how social media spreads Four student scenarios are described in the table below together with your partner to decide on who will study which two students

1. State which two students you are studying so your instructor knows for whom each partner is responsible 2.Provide an exponential function representing Anita's social media shares 3. Provide an exponential function representing Juan's social media shares 4.Using the functions for each student, predict how many shares each student's post will have received on Day 3 and then on Day 10. Justify your answer 5.Based on your resultswhich student's post travels the fastest? How is this shown in the equation form of the functions? 6. If you had to choose, would you prefer a post with fewer friends initially but more shares or more friends initially but fewer shares? Does your partner agree or disagree? Can you think of reasons why more fewer shares are preferable? Justify your answer with your calculations from previous questions

Answers

Answer:

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the initial valueb is the growth factorx is the independent variabley is the dependent variable

Anita's initial value is 41 and the number of viewers doubles each day

[tex]\implies f(x)=41(2)^x[/tex]

Juan's initial value is 4 and the number of views quadruples each day

[tex]\implies f(x)=4(4)^x[/tex]

Day 3

[tex]\textsf{Harrison}:f(3)=7(2)^3=56[/tex]

[tex]\textsf{Anita}:f(3)=41(2)^3=328[/tex]

[tex]\textsf{Juan}:f(3)=4(4)^3=256[/tex]

[tex]\textsf{Krista}:f(3)=6(3)^3=162[/tex]

Day 10

[tex]\textsf{Harrison}:f(10)=7(2)^{10}=7168[/tex]

[tex]\textsf{Anita}:f(10)=41(2)^{10}=41984[/tex]

[tex]\textsf{Juan}:f(10)=4(4)^{10}=4194304[/tex]

[tex]\textsf{Krista}:f(10)=6(3)^{10}=354294[/tex]

Juan's post travels the fastest.

This is shown by the growth factor in the equation form of the functions.

Juan's equation has the largest growth factor of 4.

In the diagram, a circle centered at the origin, a right triangle, and the Pythagorean theorem are used to derive the equation of a circle, x2 + y2 = r2.

If the center of the circle were moved from the origin to the point (h, k) and point P at (x, y) remains on the edge of the circle, which could represent the equation of the new circle?

A: (h + x)2 + (k + y)2 = r2
B: (x – h)2 + (y – k)2 = r2
C: (k + x)2 + (h + y)2 = r2
D: (x – k)2 + (y – h)2 = r2

Answers

Answer:

B

Step-by-step explanation:

[tex]\textsf{Let}\:(x_1,y_1)=(h,k)[/tex] → new center of the circle

[tex]\textsf{Let}\:(x_2,y_2)=(x,y)[/tex] → point on the circle

Therefore, the radius (r) is the distance between (x, y) and (h, k)

Use the distance formula:

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=d[/tex]

[tex]\implies \sqrt{(x-h)^2+(y-k)^2}=r[/tex]

Square both sides:

[tex]\implies (x-h)^2+(y-k)=r^2[/tex]

Answer:

Option B

Step-by-step explanation:

Then we have to use distance formula to derive it

√(x-h)²+(y-k)²=r(x-h)²+(y-k)²=r²

Option B is correct

Quentin agreed to pay 7% shipping and handling charge. If Quentin paid $9. 45 in shipping and handling, how much must the racquet have cost?

Answers

Answer:

The cost of the racquet is $135

Step-by-step explanation:

Let

x-----> the cost of the racquet

we know that

The racquet represent the 100%

so

using proportion

x/100%= $9.45/7%

x=100%*($9.45)/7

x=$135

My math teacher help me with it.

Helppp meeeeee please ​

Answers

Answer:

The answer is F

Step-by-step explanation:

Because I said so

90 over 7 EndFraction divided by 1 and three-fourths

Answers

Answer:

120/7

Step-by-step explanation:

means90/7÷3/4

= 90/7 ×4/3

= 120/7

1. What is the type of association between variables x and y?

options:

strong positive

strong negative

perfect positive

no association


2. What is the type of association between variables x and y?


options:

no association

moderate positive

weak negative

strong negative

Answers

The statements that describe the variables x and y are:

The association between variables x and y is (d) no associationThe type of association between variables x and y is (a) no association

How to determine the association

In the graph that relates variables x and y (see attachment), we can see that the points are scattered on the coordinate plane and they do not follow a specific pattern.

If the points are scattered, then the graph shows no association.

Hence, the graph shows no association

Read more about scatter plots at:

https://brainly.com/question/26598523

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Students are comparing their helghts. Jose is 416, feet tall, Lee is 414, feet tall, Judi is 4112, feet tall, and Sammy is 423. feet tall. Which student is the tallest?
f Judi
g Jose
h Sammy
j Lee

Answers

I think you meant 4 1/4, 4 1/2, 4 1/6, and 4 2/3.
So the answer to your question is Sammy because 414 is 4.25 and 412 is 4.5 and 416 is 4.1666667 and 423 is 4.6666667.
So who do you think is the tallest?
- 4.25
- 4.5
- 4.166667
- 4.666667

Rewrite the log expression in exponential form:
logbA=x

Answers

Answer:

[tex]b^x =A[/tex]

Step-by-step explanation:

Helpppppppppppppppppp

Answers

Answer:

They need $60.32 in order to purchase the swing set.

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

The bases of a trapezoid have lengths of 10 feet and 22 feet. Find the length of the midsegment of the trapezoid.

Answers

Answer:

16 feet.

Step-by-step explanation:

Midsegment = (10+22)/2

= 32/2

= 16.

If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the second equation is substituted into the first equation.

3x + 2y = −21
x − 3y = 4

A. 3(3y + 4) + 2y = −21
B. 3(−3y + 4) + 2y = −21
C. 3x + 2(3y + 4) = −21
D. 3x + 2(−3y + 4) = −21

Answers

Answer:

B

Step-by-step explanation:

when you subtact 3y on both sides

you get x = -3y+4

please help me for 15 points
if you don't know please don't try to comment wrong answer
please send with explaination​

Answers

Answer:

x=0 , x=-3

Step-by-step explanation:

Apply all exponent rules:

[tex]3^{x+3}[/tex] = [tex]3^{x}[/tex]×[tex]3^{3}[/tex]

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

Rewrite equation with [tex]3^{x}= u[/tex]

[tex]u[/tex] × [tex]3^{3}[/tex] + [tex]u^{-1}[/tex] - 28 = 0

Solve for u to give :

u = 1, u = 1/27

Substitute back u = [tex]3^{x}[/tex], solve for x :

[tex]3^{x}[/tex] = 1 , x= 0

[tex]3^{x}= \frac{1}{27}[/tex] , x= -3  
x=0 , x=-3

Substituting x back into original equation verifies our answers

(Please someone help me!) (NO LINKS!)

Answers

The answer is C


Gbdndkksms

Answer: A

Step-by-step explanation:

Cost for one day is 12.5 and if the number of days is X, cost for X days will be 12.5X

12.5 was from two days rent divided by 2

Margo wants to convince her father to change her curfew from 9 P.M. to 10 P.M. She gathers data on curfew times from a random sample of students at her middle school. Can Margo use these data to present a valid inference that will convince her father? Explain.

Answers

Answer:

Yes; More students have a curfew of 9 P.M. than any other time.B

Step-by-step explanation:

What is the answer
((((5+5+6+6+8+8+10+10)*2)*4)*6)=

Answers

Answer:

58*48 is the answer for ((((5+5+6+6+8+8+10+10)*2)*4)*6

Step-by-step explanation:

Answer:

((((5+5+6+6+8+8+10+10)*2)*4)*6)=((((10+12+16+20)*2)*4)*6)=((((22+36)*2)*4)*6)=((((58)*2)*4)*6)=((116*4)*6)=(464)*6)=2784

Step-by-step explanation:

What does PEMDAS stand for?

Answers

Answer:

Parentheses Exponents Multiplication Division Addition Subtractions

You have to do these operations in order when solving oder of operations.

Answer:

“PEMDAS” (parenthesis, exponents, multiplication, division, addition, subtraction) to help you remember? Memorable acronyms aren't the only way to memorize concepts.

Step-by-step explanation:

i think it would help.

What is the volume of the following triangular prism?

252 yd
126 yd
42 yd

Answers

Answer:

V = 126 yd3

Step-by-step explanation:

The base: [tex]\frac{(9)(4)}{2} =\frac{36}{2} =18[/tex]

The volume: [tex]v=(18)(7)=126yd^{3}[/tex]

Hope this helps

State the possible Number of positive and negative zeros for each function.
f(x) = 9x6 -3x5+ 33x4 -11x³ + 18x²- 6x

Answers

Algebraic rule

If a polynomial has n th degree then it has n no of zeros

As

here the polynomial has degree 6

Total zeros 6

6 can be all negative or positive

Answer:

Both positive (or) negative

Step-by-step explanation:

The polynomial's degree is 6 and so the polynomial has 6 zeroes. These zeroes can be either positive or negative.

Stephen bought a package of stickers for $0.50. His brother bought 4 times as many packages. How much did his brother spend? (3 points) a $2.00 b $2.25 c $2.50 d $3.00

Answers

a $2.00

Step-by-step explanation:

0.50 x 4 = 2

If he bought 4 times as many, then take the price times 4.

Answer:

$2.00

Step-by-step explanation:

Stephen bought 1 package for $0.50. His brother bought 4 times as many (4 * 1 packages). Which means his brother bought 4 packages.

If each package costs $0.50 then we simply multiply the price with the amount of packages he bought:

4 * $0.50. Lets get rid of the dollar sign, so it doesn't distract us.

I'm not sure if you studied about floating point numbers yet, but I assume you did.

4 * 0.50 =?

We have two numbers after the floating point, but for the sake of simplicity we can get rid of it too and just multiply 4 * 50 and then put the floating point back into the number after the first two digits (because we removed it after two digits 0.50)

Anyway 4 * 50 = 200

We add the floating point and get:

2.00

Therefore his brother spent $2.00 after we add the dollar sign back in

Solve for xx. Round to the nearest tenth of a degree, if necessary.

Answers

Answer: 38.2

Step-by-step explanation:

Answer number 7 part A please. Thank you.

Answers

Answer:

6,300

Step-by-step explanation:

About 70% of the population will say yes, which is 6,300 out of 9,000

Answer:

6300

Step-by-step explanation:

70

___

100

said yes

there is 9000

change 100 to 9000

that x90

70x 90=6300

Find the difference of 29 and 13, and then divide by 2.

Answers

Answer:

8

Step-by-step explanation:

29-13=16         16/2=8

Answer:

your answer is 8

Step-by-step explanation:

29 - 13 = 16 / 2 =8

also can you mark me as brainliest

Hi, I need help, am struggling with this. Question is in image below. ​

Answers

Answer:

I believe that would be -24/16, -√2, 21/51, and then 0.42

Step-by-step explanation:

This is according to math app

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