How many solutions does this system have? 2 x- 4 y = 8. x + y = 7.

Answers

Answer 1

Answer:

One solution: (6,1)

Step-by-step explanation:

2 x- 4 y = 8

x - 2y = 4

x = 4 + 2y

x + y = 7

4 + 2y + y = 7

3y = 3

y = 1

x = 4 + 2(1)

x = 6

One solution: (6,1)

Answer 2

Answer:

2 x- 4 y = 8

x + y = 7

y= 7-x-----------(1)

2 x- 4 y = 8

on substitution

=>2x -4(7-x)= 8

=>2x -28+4x = 8

=>6x= 36

=>x= 6

From (1)

y= 7-6= 1

Therefore, the system have 1 solution

(6,1)


Related Questions

How would you explain 2-3? (Site 1)

Answers

1-2 is -1

I think that is the answer


Mya's lunchbox is shown. What is the volume of the lunchbox? Round to the nearest tenth if necessary.

Answers

Final answer:

The volume of Mya's lunchbox can be calculated by multiplying its length, width, and height. However, the dimensions were not provided in the question.

Explanation:

The volume of a three-dimensional object like Mya's lunchbox can be found by multiplying the object's length, width, and height together. If Mya's lunchbox is a rectangular prism, for instance, and we know its measurements, we can calculate its volume using the formula Volume = Length x Width x Height. However, the question didn't provide the necessary dimensions of the lunchbox. Therefore, you need to provide the dimensions of the lunchbox for me to be able to help you calculate its volume.

Learn more about Volume calculation here:

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which is the graph of y=3/4x-3

Answers

The graph for y= 3/4x - 3
Some of the points are (0,-3), (4,0)

reflect triangle a in the line y = 1

Answers

Answer:

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

Step-by-step explanation:

Some examples:

(3,0) would map on to (3,2)

(3,1) would be unchanged after mapping

(3,-1) would map onto (3,3)

To reflect triangle A across the line y = 1, determine the corresponding points and apply symmetry properties. By understanding geometric transformations and symmetry, you can accurately visualize the new position of the triangle.

Reflecting triangle A in the line y = 1 involves transforming the triangle's position by flipping it over this horizontal line. This reflection will create a new image of the triangle across the line y = 1.

To reflect triangle A in y = 1, you need to locate the corresponding points across the line concerning their distance from the line itself. For instance, a point (x, y) would transform to (x, 2 - y) after reflection across y = 1.

Understanding symmetry properties and geometric transformations is crucial in reflecting shapes across lines, helping to visualize changes in position accurately.

Help answering the question and explain

Answers

Answer:

it linear

Step-by-step explanation:

Answer:

linear

Step-by-step explanation:

For each increase of 1 in x, we decrease 2 in y

The slope is -2

It has a constant slope for all the points

There fore it is linear

We know the slope and the y intercept( when x=0, y =-3)

y = mx+b

y = -2x -3

We can check by picking a random point and verifying

(2,-7)

-7 = -2(2) -3

-7 = -4-3

-7=-7

Which Expression is equivalent to -0.3(1.5x-0.6)-2(-0.4+0.9x)

A. 0.45x+0.20
B. 0.45x-1.98
C. -2.25x-0.62
D. -2.25x+0.98

Answers

The right answer is of option D.

Hope it will help u....

I the correct answer is D

Hope that helps

WILL MARK BRAINLIEST IF I GET A CORRECT ANSWER
HELPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

I think it is 112 cm^3.

Step-by-step explanation:

The face of the object is 14 (1cm^3) cubes. The side has 8.

14 x 8 = 112 cm^3

I hope this helped !

Answer:

56

Step-by-step explanation:

To find volume, you multiply lengh x width x height.

how far is the UFO from KA-12?

Answers

The distance of UFO from KA-1212 is 1229.7 km

Answer:

The answer is 1229. 1229.7 if you would like to be exact.

Step-by-step explanation:

Simplify the expression square root 18 + square root 50 .

Answers

Final answer:

To simplify the expression sqrt(18) + sqrt(50), find the square roots of 18 and 50 individually and then add them together.

Explanation:

To simplify the expression sqrt(18) + sqrt(50), we need to find the square roots of 18 and 50 individually and then add them together. The square root of 18 is approximately 4.2426 and the square root of 50 is approximately 7.0711. Adding these two values gives us approximately 11.3137. Therefore, the simplified expression is sqrt(18) + sqrt(50) = 11.3137.

Solve the following system via elimination
3x - y = 28
3x+y=14

Answers

Answer:

Point Form:

( 7 , − 7 )

Equation Form:

x = 7 , y = − 7

Step-by-step explanation:

Answer:

x=7,y=-7

Step-by-step explanation:

1: add the equations

3x+3x+y-y=28+14

6x=42

x equals 7

2:plug that in to get y

3(7)-y=28

21-y=28

-y=7

y=-7

on the unit circle, where 0<0<2pi, when is tan 0 undefined?

Answers

The tangent is the slope so is undefined when there’s no slope, which means a vertical angle, 90 degrees or -90 degrees aka 270 degrees. In radians that pi/2 and 3pi/2, choice C

Answer: C

Step-by-step explanation:

Question in image. Thanks!

Answers

Answer:

B (i do also slightly lean towards C, but i'm pretty sure it would be B because it gives a specific measurement)

Step-by-step explanation:

If all angles that are either adjacent or opposite are supplementary, all angles must be 90°

If at all times adjacent sides are 5 inches, all sides are equal.

Knowing this, it has to be a square because all angles would be 90° and all sides would be equal.

what is 0+0 it is totally hard

Answers

Answer:

It's 0 I am so smart lol

Step-by-step explanation:

Watch out somebody might delete your question

please please please help meeeeee

Answers

Answer:

x = -4

Step-by-step explanation:

Square both sides:

[tex](\sqrt{-5-2x})^2 =(\sqrt{-1-x} )^2[/tex]

The square root and the square will cancel to leave simply the argument within the square root:

-5 - 2x = -1 - x

Now simply isolate the variable x:

x = -5 + 1 = -4

Check to see if x = -4 will work:

[tex]\sqrt{-5-2*(-4)} =\sqrt{-1-(-4)}[/tex]

[tex]\sqrt{3} =\sqrt{3}[/tex]

This works, so we know that x = -4 is a solution.

Hope this helps!

HELP PLS and quick find the volume

Answers

Answer:

V =96 pi

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

Where r is the radius and h is the height

V = 1/3 pi (6)^2 *8

V = 1/3 pi (36)8

V =96 pi

please show me an exact im giving 100 points if you help
This table shows the length of the radius, in feet, of several circles.

Length (ft)
1/2 ​ 1/2 ​ ​ 3/8 ​ ​ 3 1/6 ​ ​ 3 1/6 ​
​ 3 1/6 ​ ​ 1/2 ​ ​ 3/8 ​ ​ 12 ​ ​ 7 1 6 ​



To create a line plot, hover over each number on the number line. Then click and drag up to plot the data.

Answers

Answer:

We cannot answer this question because there isn't a line plot for us to drag the data onto.

Create a line plot with radii lengths on the x-axis and frequency on the y-axis, connecting plotted points accordingly.

First, organize the data into a list or table format, with the lengths of the radii listed in feet:

1/2, 1/2, 3/8, 3 1/6, 3 1/6, 3 1/6, 1/2, 3/8, 12, 7 1/6

Next, you'll create a number line representing the lengths of the radii. You'll mark each length on the number line and then plot points above each mark corresponding to the frequency of each length.

For example:

- If there are two radii with a length of 1/2 foot, you'll plot two points above the mark for 1/2 on the number line.

- If there are three radii with a length of 3/8 foot, you'll plot three points above the mark for 3/8 on the number line.

- Similarly, for other lengths, mark and plot points accordingly.

Once you've plotted all the points, you'll connect them to form a line plot. The x-axis will represent the lengths of the radii, and the y-axis will represent the frequency of each length.

Factor 4x^2+ 8x + 3 by applying the distributive property to the last step shown on the left

Answers

Answer:

(2x + 3)(2x + 1)

Step-by-step explanation:

4x² + 8x + 3

4x² + 6x + 2x + 3

2x(2x + 3) + 1(2x + 3)

(2x + 3)(2x + 1)

Please answer this correctly please label the numbers correctly and please write the answers correctly

Answers

Points pointed and labeled !! I hope this helps and you can use to reference in the future !

Answer:

Points pointed and labeled

Step-by-step explanation:

What is the answer to this

Answers

Answer:

250decay0.05

Step-by-step explanation:

The value with the exponent is the "multiplier". It is 0.05.

This value is less than 1, so the function represents decay.

The initial value is the number that multiplies the exponential term. It is the value of A when t=0: 250.

original amount: 250growth or decay: decaymultiplier: 0.05

3O POINTS!! AND I WILL MARK THE BRAINLEST ANSWER EVER PLZ HELPP MEEE
Caluate
19.6 x 2 1/5 + (5.25 x 1 1/5 - 4.5 x 4/5
x=times
/= make fraction
the answer is 45.82
but i need the work on how to do it

Answers

Answer: Use order of operations (PEMDAS). Answer is 45.72.

Step-by-step explanation:

First, solve inside parenthesis:

(5.25*1 1/5 - 4.5*4/5)

Convert 1 1/5 into decimal. It will be easier. 1 1/5 is the same as 1.2

Do multiplication and division first.

5.25*1.2 = 6.3

Now it looks like: (6.3 - 4.5*4/5)

Convert 4/5 to a decimal: 4/5 = 0.8

(6.3 - 4.5*0.8)

Multiply 4.5*0.8 = 3.7

Subtract (6.3 - 3.7) = 2.6

Now the full equation is: 19.6*2 1/5 + (2.6)

2 1/5 as a decimal: 2.2

Multiply 19.6*2.2 = 43.12

Now the equation is: 43.12 + 2.6

Add 43.12 + 2.6 = 45.72

The temperature falls 3 degrees Celsius each hour for 8 hours. What is the total change in temperature over this eight-hour period?
Help plz

Answers

Answer:

–24°C

Step-by-step explanation:

(–3°C) × 8 = –24°C

An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t is the time since launch and h(t) is the height in feet of the projectile after time t in seconds.

Answers

Answer with Step-by-step explanation:

We are given that height of projectile after t seconds is given by

[tex]h(t)=96t-16t^2[/tex]

a.h(t)=144 ft

[tex]144=96t-16t^2[/tex]

[tex]16t^2-96t+144=0[/tex]

[tex]t^2-6t+9=0[/tex]

[tex]t^2-3t-3t+9=0[/tex]

[tex]t(t-3)-3(t-3)=0[/tex]

[tex](t-3)(t-3)=0[/tex]

t-3=0

t=3

After 3 s, the height of the project will be 144 feet in the air.

b.h(t)=0

[tex]96t-16t^2=0[/tex]

[tex]16t(6-t)=0[/tex]

[tex]16t=0\implies t=0[/tex]

[tex]6-t=0\implies t=6[/tex]

At t=0, the initial position of projectile

At t=6 s , the projectile will hit the ground.

Answer:

The first one is 3 seconds. The second one is 6 seconds

Step-by-step explanation:

Which of these numbers is in the solution set of x – 15 = 5? A. 10 B. 3 C. 20 D. –10

Answers

Answer:

3

Step-by-step explanation:

15 x 3 is 15

Answer:

C. 20

Step-by-step explanation:

 Your main goal is to isolate X to find your answer. To do that, bring the -15 to the other side. Then it would be x =20

Point D is the midpoint of HJ. Point D is located at (-3,4) and point His located at (9,-6). Where is point J located?

Answers

Answer:

(-15,14)

Step-by-step explanation:

as the question states, d is a mid point. so, if there is a -12 difference in x, then you must apply that to d to create the opposite point. the same goes for y but its a +10 difference. when you apply it, d is (-15,14)

Answer: (-15,14)

Step-by-step explanation:



Which diagram shows ∠1 and ∠2 as supplementary angles?

A) A
B) B
C) C
D) D

Answers

Answer:

Step-by-step explanation:please upload diagram.

Answer:

A

Step-by-step explanation:

Supplementary angles are two angles that when added together equal 180 degrees, forming a straight line when placed beside each other.

write an expression for the product of 11 and w

Answers

Answer:

11 * w

Step-by-step explanation:

"product" in math means "multiply". "The product of 11 and w" is "the multiplication of 11 and w".

Write the expression:

The Multiplication: *

11 and w: 11 * w

11 * w is your answer.

~

Which shows the fraction rewritten with their LCD?
3/8 and 1/4

A. 6/16 and 12/16
B. 3/8 and 4/8
C. 3/8 and 2/8
D. 6/16 and 4/16

The Answer will be A, I just took the Quiz!! :)

Answers

it’s A i just took the quiz

Answer:

C. 3/8 and 2/8

Step-by-step explanation:

LCM of 8 and 4: 8

3/8

1/4 = (1×2)/(4×2) = 2/8



Chad ran a red light and hit another car. He decided to file a claim for damage

to his vehicle. Which deductible would he have to pay before he receives a

payment from the insurance company?


A. Comprehensive

B. Premium

C. Collision

D. He would not have to pay any deductible because he was not at

fault.

Answers

Answer:

Comprehensive deductible

Step-by-step explanation:

There is nothing called Premium deductible rather deductible determines how higher of lower a premium on a subject matter of insurance can be. Deductible is the amount with the insured have to bear at loss and any excess above the loss will be compensated by the insurance company.

Comprehensive deductible is the application to only to comprehensive insurance which was what Chad had on his motor vehicle. Comprehensive insurance covers majority of peril that happens to the insured vehicle. Therefore, comprehensive deductible is the deductible Chad has to bear himself before the insurance company take other losses upon theirself..

If he had $500 deductible on his car and total repair cost $700, then he will bear the $500 while the insurance company is entitled to pay only $200 as per policy statement.

Answer:collision

Step-by-step explanation:

Suppose a single bacterium is placed in a bottle at 11:00am. It grows and at 11:01 divides into two bacteria. These two bacteria each grow and at 11:02 divide into four bacteria. Which grow and at 11:03 divide into eight bacteria, and so on. Now, suppose the bacteria continue to double every minute until the bottle is full at 12:00.


a. How many bacteria are in the bottle at 11:53?


b. What fraction of the bottle is full at that time?

Answers

Answer:

Number of bacteria at 11:53 for 53 min = [tex]2^{53}[/tex]   = 9.007199 × [tex]10^{15}[/tex]  

fraction that is full = [tex]2^{-7}[/tex]

Step-by-step explanation:

solution

Number of bacteria is express as here

Number of bacteria = [tex]2^t[/tex]    ............1

so

bacteria at 1 min , 2 min and 3 min are

Number of bacteria at 1 min = [tex]2^1[/tex] = 2

Number of bacteria at 3 min = [tex]2^2[/tex] = 4

Number of bacteria at 3 min = [tex]2^3[/tex]  = 8

and

as that Number of bacteria at 11:53 is for 53 min is

Number of bacteria at 11:53 for 53 min = [tex]2^{53}[/tex]   = 9.007199 × [tex]10^{15}[/tex]  

and

bottle is full at 12:00

so Number of bacteria at 12:00 for 60 min = [tex]2^{60}[/tex]  

so fraction that is full = [tex]\frac{2^{53}}{2^{60}}[/tex]

fraction that is full = [tex]2^{-7}[/tex]

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Number of bacteria present in bottle at 11:53  are [tex]2^{53}[/tex].

At that time, fraction [tex]2^{-7}[/tex] or 0.00781 of bottle is full.

Since, single bacterium is placed in a bottle at 11:00am. It grows and at 11:01 divides into two bacteria. These two bacteria each grow and at 11:02 divide into four bacteria. Which grow and at 11:03 divide into eight bacteria.

So, a sequence is obtained  1, 2, 4, 8, 16, 32, 64, .........

We can also write as,

At 11:00 am,    [tex]2^0[/tex] bacteria

At 11:01 am,    [tex]2^1[/tex] bacteria

At 11:02 am,   [tex]2^2[/tex]  bacteria

Similarly,  At 11:53 am, Number of bacteria present in bottle are [tex]2^{53}[/tex].

When the bottle will be full, that time number pf bacteria will be [tex]2^{60}[/tex].

S0, fraction of bottle is full at 11:53 is   [tex]2^{53} /2^{60} = 2^{-7} = 0.00781[/tex]

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Salma and coron broomall have reached an agreed upon price of $197,000. They plan to make a 30 percent down payment and finance the rest at 6 percent for 20 years. What is the monthly payment? What is the total amount to be paid?

Answers

Answer:

1. The monthly payment is $689.5

2. The total amount to be paid is

$224,580.

Step-by-step explanation:

Salsa and Corn Broom all reached an agreement upon the price of $197,000.

- The plan on making a 30 percent down payment. This implies that the will pay 0.3 × $197,000 = $59,100

This leaves them with

$197,000 - $59,100

= $137,900 to pay.

The plan on financing this remaining amount at 6 percent for 20 years.

This means they will pay

0.06 × $137,900 = $8,274 for 20 years. This translates to the payment of $8,274 × 20 = $165,480 across the 20 years.

1. The monthly payment is the yearly payment divided by 12.

Which is $8,274 ÷ 12 = $689.5

2. The total amount to be paid is

$165,480 + $59,100

= $224,580.

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