The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite

Answers

Answer 1

9514 1404 393

Answer:

  one solution; (x, y) = (4/3, 11/3)

Step-by-step explanation:

The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.

__

The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.

Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.

The System Shown Hassolution(s).y= 2x+1X2y-x = 6No OneInfinite

Related Questions


What is the distance from (-4, 0) to (2, 5)? Round your answer to the nearest hundredth.

Answers

Answer:

7.81

Step-by-step explanation:

Step-by-step explanation:

[tex]distance = \sqrt{(x2 - x1) ^{2} + (y2 - y1) ^{2} } [/tex]

Now, substitute the numbers into the equation,

[tex] \sqrt{(2 + 4) ^{2} +( 5 - 0)^{2} } [/tex]

distance = 7.81

brianlist me??

Which of the following are perfect squares? 2, 4, 6, 16, 20,25, x², x³, x¹⁵, x²⁰, x²⁵

Answers

Answer:

4, 16, 25, [tex]x^{2}[/tex], [tex]x^{20}\\[/tex].

Step-by-step explanation:

Answer:

16, 4, 25, x², x ²⁰

. . . . . . . .

please help me with this sum​

Answers

Answer:

391 × 5 = 1955

621 × 3 = 1863

481 × 7 = 3367

531 × 6 = 3186

981 × 2 = 1962

761 × 9 = 6849

581 × 8 = 4648

431 × 3 = 1293

271 × 4 = 1084

821 × 4 = 3284

Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.

Answers

This shows that it will take the particle 23 secs to meet.

The distance travelled by each particle is 50cm

If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,

The first particle distances are 97cm, 93cm, 89cm... every 2secs

This form an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 97

d is the common difference = 4

Substitute

Tn = 97+(n - 1)(4)

Tn = 97 + 4n -4

Tn  = 4n  + 93

Similarly for the distances 49 cm, 47 cm, 45cm .....

This also forms an arithmetic sequence and the nth term is expressed as:

Tn = a  + (n - 1)d

a is the first term = 49

d is the common difference = 2

Substitute

Tn = 49+(n - 1)(2)

Tn = 49 + 2n -2

Tn  = 2n  + 47

For the particles to meet, this means that 4n  + 93 = 2n + 47

4n - 2n = 47 - 93

2n = -46

n = -23

This shows that it will take the particle 23 secs to meet.

To get the distance travelled by each particle

Tn  = 4n  + 93

T2 = 4(2) + 93

T2 = 101

For the other sequence;

Tn  = 2n  + 47

T2  = 2(2)  + 47

T2 = 51

Taking the difference;

D = 101 - 51 = 50cm

Hence the distance travelled by each particle is 50cm

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Not yet answered Tharu bought a refrigerator and paid Rs. 40,000 as a down payment. On delivery, she paid another Rs. 80,000 and owed 60% of the purchased price. What was the price of the refrigerator?​

Answers

Rs. 250000 was the price of the refrigerator.

Let x represent the price of the refrigerator.

Since she made a Rs. 40,000 down payment. On delivery paid another Rs. 80,000 and owed 60% of the purchased price. Hence:

Total Money paid = 100% - 60% = 40% of purchased price

40000 + 60000 = 40% of x

100000 = 0.4x

x = Rs. 250000

Hence, Rs. 250000 was the price of the refrigerator.

Find out more at: https://brainly.com/question/20418815

what should she do next?

Answers

Answer:

(-2) *6 = -12

Step-by-step explanation:

4 + (2-4) *6 , solve the subtraction in parenthesis

4 + (-2)*6, solve the multiplication of (-2) *6

4 - 12, solve the subtraction

-8

Erin ran 5 km in 25 minutes. What is her speed in km per minute? (Answer as a decimal)​

Answers

Answer:

what what what what what what what what

Solve for x: 8 (3x + 10) = 28x - 14 - 4x ​

Answers

Answer:

[tex]8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution[/tex]

please solve the questions


please hurry

Answers

it's in the attachment hope it helps you

Which word is a synonym of verify?
consent or confirm

Answers

Answer:

confirm is the correct answer

Plz mark as Brainliest

Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream between Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)

Answers

Answer:

5hj

m5Step-by-step explanation:

Carson has a smart phone data plan that costs $35 per month that includes 10 GB of data, but will charge an extra $15 per GB over the included amount. How much would Carson have to pay in a month where he used 3 GB over the limit? How much would Carson have to pay in a month where he used went over by x GB?

Answers

Answer:

3 GB over: $80 x GB over: $35+$15x

Step-by-step explanation:

3 GB over is 3 times 15 plus 35, which equals 80, x GB over is x times 15 plus 35. Boom, answer.

Your welcome!

Answer:

$80

Step-by-step explanation:

Pls help and answer the question in the photo

Answers

Answer:

Cam

Step-by-step explanation:

Cam first multiplied both sides by 3 which removed the fraction on the left. They then correctly added 5 to both sides to get x on its own.

Hope this helps!

How to solve x/m = n/p. Solve for x. Please include steps for solving. Thank you

Answers

Answer:

[tex]x=\frac{n}{p}m[/tex]

Step-by-step explanation:

Since we have two variables on the left side (x and p), and they are being divided, we need to do the opposite in order to get it to the other side. Therefore, we multiply both sides of the equation by m.

Doing that, we get

[tex]\frac{x}{m} m=\frac{n}{p}m\\\\\\So,x= \frac{n}{p}m\\[/tex]

The function g(x) = 8|x – 15| - 30 is a transformation of the parent function p(x) = x. Which of the following correctly describes the transformation of function p that generates function g?
A p is translated 30 units down, then has a vertical shrink by a factor of 8, and then is translated 15 units right.
B. p has a vertical shrink by a factor of 8, then is translated 15 units down, and then is translated 30 units left
c. p is translated 15 units left, then has a vertical stretch by a factor of 8, and then is translated 30 units up.
D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

Answers

Using translation concepts, it is found that the correct option, which represents the transformation made to function [tex]g(x) = 8|x - 15| - 30[/tex], is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

The parent function is:

[tex]p(x) = |x|[/tex]

The first transformation was [tex]x \rightarrow x - 15[/tex], which means that it was shifted 15 units to the right.

Then, the function was multiplied by 8, which means that it was stretched vertically by a factor of 8.

Finally, 30 was subtracted from the function, which means that it was shifted down 30 units.

Hence, the correct option is given by:

D. p is translated 15 units right, then has a vertical stretch by a factor of 8, and then is translated 30 units down.

A similar problem is given at https://brainly.com/question/18405655

[tex]J=∫_e^b▒3dx/(xln^2 x)[/tex]

Answers

Answer:

huh rewrite the question

Please answer this question

Answers

Answer:

See explanation below:

see attached file below

20000 divided by 2 x 56 x 7898 - 100
First to Answer gets brainliest!!!
NO LINKS PLEASE!!!!

Answers

Answer:

0.0226122585576093

TIME REMAININO
58:40
Which graph could represent a constant balance in a bank account over time?
Daily Balance
Daily Balance
Daily Balance
de
10
$
1378
Time (day)
1 2 3 4 5
Time day)
O
Daily Balance
35
Save and Exit
NE
Suband
Mark this and return

Answers

Dalit balance
Thanks hope you have a good day

"The quotient of five less than a number and 6, is -4."

Answers

Answer:

The number is 20

Step-by-step explanation:

x represents the missing number

The equation would be:

[tex]\frac{x-5}{6} =-4[/tex]

Then isolate the variable and solve,

First multiply both sides by 6...

[tex]x-5=-25[/tex]

Add 5 to both sides.

x=20

(I NEED THE ANSWER FAST PLS) Explain how to use place value and the distributive property to find the product of 828 and 9. (also, please do not give the edge sample answer)

Answers

Answer:

7452

Step-by-step explanation:

Answer:

Sample Response: First, write 828 as a sum of 800 + 20 + 8. Next, multiply each number by 9. Add the products to get 7,452.

Step-by-step explanation: edge 2021

Helppp I’m in class and need answers

Answers

Answer:

Need answers for what? I would LOVE to help you hun but I cant help because there is nothing to answer.

Step-by-step explanation:

Helppppppppppppppppppppppppppppppppppp

Answers

Answer:

The answer would be 7 I hope this helps! : )

Answer:

it's 2

Step-by-step explanation:

if we solve 3×2×1/3

then we will get 2 .

What is the value of 7x (3 + x/4) when x = −8?

Answers

Answer:

Third option

Step-by-step explanation:

[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

The Astronomical Telescope shop plans to introduce a new model based on the following information: Rent and utilities per period are $ {fixed}; variable cost per unit is $ 217; selling price per unit is $ 305; determine the break-even point in units if rent and utilities are increased to $ 5420.

Answers

Using the profit concept, it is found that the break-even point is of 61.6 units.

Profit is given by revenue subtracted by cost.The break-even point is when the revenue is the same as the cost, which means that the profit is zero.

In this problem:

Variable cost per unit x of $217, fixed cost of $5,420, thus, the cost equation is given by:

[tex]C(x) = 217x + 5420[/tex]

Selling price per unit of $305, thus, the revenue equation is given by:

[tex]R(x) = 305x[/tex]

The break-even point is the value of x for which:

[tex]R(x) = C(x)[/tex]

Then

[tex]305x = 217x + 5420[/tex]

[tex]88x = 5420[/tex]

[tex]x = \frac{5420}{88}[/tex]

[tex]x = 61.6[/tex]

The break-even point is of 61.6 units.

A similar problem is given at https://brainly.com/question/4001746

The area of a rectangle is x^2-4/2x in.2, and its length is (x + 2)2/2 in. Find the width.

Answers

Step-by-step explanation:

the area (length × width) is

A = (x² - 4)/2x in² = (x + 2)(x - 2)/2x

length = (x + 2)²/2 = (x + 2)(x + 2)/2

width = A/length = 2(x+2)(x-2) / 2x(x+2)(x+2) =

= (x-2)/x(x+2) = (x-2)/(x²+2x)

One student solved the inequality -4 > x/-7 and got 28 < x. Another student solved the inequality and got x > 28. Are they both correct? Explain.

Answers

Answer:  solutions are the same, just written differently,    inequality sign is reversed when multiplying. Yes, both students are correct. When multiplying by –7, the inequality symbol+ is reversed. The answers are the same, just written differently.

Step-by-step explanation:  Happy to Help. Brainliest Please

What is the value of this expression? {5×(13−8)}+12÷6 Enter your answer in the box.

Answers

Answer:

27

Step-by-step explanation:

start with {5*(13-8)+12/6}

simplify to get:

(5*5)+12/6

simplify to get:

25+12/6

simplify to get:

25+2

simplify to get your answer:

27

A boat sails directly toward a 250-m skyscraper that stands on the
edge of a harbor. The angular size of the building is the angle
formed by lines from the top and bottom of the building to the
observer (see figure). Complete parts (a) and (b) below.

Answers

a) The value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) The rate of change of the angle with respect to x is -0.000308rad/m

Find the complete question and diagram attached

Form the right-angled triangle shown:

Adjacent side = x

Opposite side = 250m

angle of elevation  = [tex]\theta[/tex]

Using the SOH CAH TOA identity

[tex]tan\theta = \frac{opposite}{hypotenuse} \\tan \theta = \frac{250}{x} \\\theta = tan^{-1}\frac{250}{x}[/tex]

Hence the value of  [tex]\theta[/tex] as a function of "x" is [tex]\theta = tan^{-1}\frac{250}{x}[/tex]

b) If x = 450m

[tex]\theta = tan^{-1}\frac{250}{x}\\tan \theta = \frac{250}{x}\\[/tex]

Differentiate both sides with respect to "x"

[tex]sec^2 \theta \frac{d\theta}{dx} = \frac{-250}{x^2} \\ \frac{d\theta}{dx} = \frac{1}{sec^2\theta} \times \frac{-250}{x^2}[/tex]

Substitute x = 450m and [tex]\theta = 60^0[/tex] into the resulting expression to have:

[tex]\frac{d\theta}{dx} = \frac{1}{sec^260^0} \times \frac{-250}{450^2}\\\frac{d\theta}{dx} = (cos60)^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} = 0.5^2\times \frac{-250}{202,500}\\\frac{d\theta}{dx} =-0.000308[/tex]

Hence the rate of change of the angle with respect to x is -0.000308rad/m

Learn more here: https://brainly.com/question/15580615

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