Use substitution to determine which system is represented by the graph.

Use Substitution To Determine Which System Is Represented By The Graph.

Answers

Answer 1

Answer:

2x + 4y = 28

-2y = x + 28

Step-by-step explanation:

Looking at the graph, we can see that the lines do not intersect. Therefore, they do not have a shared solution. We need to find the system of equations that does not have a solution.

1) Let's try to solve the third system given (counting from the top). To solve with the substitution method, we need to isolate one variable in one of the equations. I chose to isolate y in -2y = x + 28:

[tex]-2y = x + 28\\y = \frac{-1}{2}x -14[/tex]

2) Now that we've isolated the y in that equation, substitute what y equals in that equation for the y in the other equation. So, substitute [tex]\frac{-1}{2}x-14[/tex] for y in 2x + 4y = 28 and simplify:

[tex]2x + 4(\frac{-1}{2}x - 14) = 28\\2x - 2x- 64 = 28\\-64 = 28[/tex]

In a normal situation, the x's would not cancel out, and we would be able to isolate x to get the x-value of the solution. However, in this case, they have, and we ended up with a false statement, as -64 does not equal 28. Whenever this happens, it means the system does not have a solution. Therefore, the third option would represent the system in the graph.

Answer 2

The given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
From the graph, the two lines represents the simultaneous relationship,
Where,

The slope of the both lines is,
m = -1/2

And y-intercept of both lines is,
C₁ = 7 and C₂ = - 14

Now,
equations  of the lines are,
y = -x/2 + 7 and y = -x/2 - 14
x + 2y = 14  and x + 2y = -28
or
2x + 4y = 28  - - - - -  -(1) and  -2y = x + 28 - - - - - - -(2)

Now,
From equation 2 substitute y in equation 1
2x + 4[-x - 28]/2= 28
2x - 2x - 56 = 28
-56 = 28
So the lines are parallel and has no solution.

Thus, the given graph shows the simultaneous relationship of equations 2x + 4y = 28 and  -2y = x + 28. Option C is correct.

Learn more about simultaneous equations here:

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Related Questions

A scientist uses a submarine to study ocean life.
• She begins at sea level, which is an elevation of o feet.
• She descends 28.7 feet.
• She then ascends 9.9 feet.
Next, she descends a second time, 92.8 feet.
How many feet must she now ascend to get back to sea level?

Answers

Answer:

111.6

Step-by-step explanation:

92.8+28.7=121.5

121.5-9.9=111.6

Find the area of the figure. Round to the nearest tenth if needed. Enter the number only.

Answers

9514 1404 393

Answer:

  215.6 cm^2

Step-by-step explanation:

The top and bottom "wings" are 3.25 cm by 12.25 cm, so each has an area of ...

  A = LW

  A = (12.25 cm)(3.25 cm) = 39.8125 cm^2

The left and right "wings" are 3.25 cm by 7.25 cm, so each has an area of ...

  A = (7.25 cm)(3.25 cm) = 23.5625 cm^2

The middle rectangle is 12.25 cm by 7.25 cm, so its area is ...

  A = (12.25 cm)(7.25 cm) = 88.8125 cm^2

Then the total area is ...

  area = middle rectangle + 2×side wings + 2×top/bottom wings

  = 88.8125 +2(23.5625) +2(39.8125) = 215.5625 . . . cm^2

The area of the figure is about 215.6 cm^2.

CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP

Answers

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6

Answers

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

To learn more on Equation 0f Straight-Line click:

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the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?

Answers

a. C = 6p + 200
C - 200 = 6p
(c - 200)/6 = p

b 350 = 6p + 200
150 = 6p
25 = p

Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer

Answers

Answer:

The answer is (-8/5,32) in point form or x=-8/5,y=32

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

1/3 as a percent I REALLLLYY NEED GOUR HELPP

Answers

Answer:

33% or 33.3% or 33.33%

Step-by-step explanation:

1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...

But you can write it as 33% or 33.3% or 33.33%

Which expression is equivalent to 20+64
a.4+(16+60)
b.4+(5+16)
c.4+(16+60)
d.4(5+16)​

Answers

Answer:

D. 4 (5 + 16)

Step-by-step explanation:

20 + 64 = 84

To solve this problem we have to simplify each of the expressions in the answer column:

A. = 80

(16 + 60 = 76) giving us

4 + 76 = 80

B. = 25

(5 + 16 = 21)

4 + 21 = 25

C. = 80

(16 + 60 = 76)

4 + 76 = 80

D. = 84

(5 + 16 = 21)

4 x 21 = 84

So The correct option is D. 4 (5 + 16)

What is the product of the radical expression?
(7- sqrt7)(-6 + sqrt7)

Answers

Given:

The expression is

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

To find:

The product of the radical expression.

Solution:

We have,

[tex](7-\sqrt{7})(-6+\sqrt{7})[/tex]

Using distributive propertry, we get

[tex]=(7)(-6)+(7)(\sqrt{7})+(-\sqrt{7})(-6)+(-\sqrt{7})(\sqrt{7})[/tex]

[tex]=-42+7\sqrt{7}+6\sqrt{7}-7[/tex]

On combining like term, we get

[tex]=(-42+7)+(7\sqrt{7}+6\sqrt{7})[/tex]

[tex]=-49+13\sqrt{7}[/tex]

Therefore, the product of the given radical expression is [tex]-49+13\sqrt{7}[/tex].

Will mark brainliest!!!Please find the value of each variable in the parallelogram!!

Answers

Answer:

a=9

b=11

Step-by-step explanation:

opposite sides of a parallelogram are congruent(aka equal)

so, a=9

b=11

Answer:

A is 9 units and B is 11 units.

Step-by-step explanation:

In a parallelogram, there are 2 parallel line. And they are congruent. So whatever their parallel line is equal to, it is the measure of that variable.

The value of x in this system of equations is 1.

3x + y = 9

y = –4x + 10

What is the value of y?

Answers

Answer y= 6

If you need and explanation let me know

Adam needs to build a shed and he can only use triangular frames that form a right
triangle for the corner walls. Which of the following dimensions for a triangular
frame should Adam use?
A 50 in., 110 in., 130 in.
B 25 in., 60 in., 65 in.
C 40 in., 44 in., 58 in.
D 130 in., 50 in, 60 in.

Answers

Answer:

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

Step-by-step explanation:

We will use Pythagorean theorem to find out the dimensions that Adam should use.

A. 50 in, 110 in and 130 in

Using Pythagorean theorem;

[tex]a^2+b^2=c^2 \\(50)^2 + (110)^2 = (130)^2\\2500 + 12100 = 16900\\14600\neq 16900[/tex]

These dimensions will not form a right triangle.

B. 25 in, 60 in, and 65 in

[tex](25)^2 + (60)^2=(65)^2\\625+3600= 4225\\4225=4225[/tex]

These dimensions of the frame will form a right triangle.

C. 40 in., 44 in., 58 in.

[tex](40)^2+(44)^2=(58)^2\\1600+1936=3364\\3536\neq 3364[/tex]

These dimensions will not form a right angled triangle.

D. 130 in., 50 in, 60 in

The larger dimension represents the hypotenuse in right angled triangle.

[tex](50)^2+(60)^2=(130)^2\\2500+3600=16900\\6100\neq 16900[/tex]

These dimensions will not form a right angled triangle.

Hence,

Option B: 25 inches, 60 inches and 65 inches is the correct answer.

Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?

Answers

Answer:

12 miles

Step-by-step explanation:

sometimes looking at the units is helpful.

How far Tristan will walk is measured in miles.

3 miles/hour * 4 hours has a unit of miles * hour/hour = miles

3*4 = 12

Answer:

12 Miles

Step-by-step explanation:

Multiply 3 by 4

Can someone help me with this question for my homework 2x+29+11=x+28

Answers

Sure! I'll try!

2x + 29 +11 = x + 28

First, you would put like terms ( the x ) on the same side.

2x + 29 + 11 = x + 28

-2x                 -2x

Giving you: 29 + 11 = -3x + 28

Then, you would add 29 and 11 together to get 40.

Next, you'd put the 28 on the other side.

40 = -3x + 28

-28           - 28

Giving you: 12 = -3x

12= -3x there ya go!

please answer asap!!!!

Answers

Answer:  VX = 37

=======================================================

Explanation:

VX is a midsegment and it is half as long compared to the parallel side UY. This means UY is twice as long compared to VX

UY = 2*(VX)

s = 2*(s-37)

s = 2s - 74

s-2s = -74

-s = -74

s = 74

This makes UY be 74 units long

So VX = (1/2)*UY = 0.5*74 = 37

Answer:

37

Step-by-step explanation:

The midsegment theorem states that a midsegment is half the measure of the line it is parallel to (the base).  So VX is 1/2 of UY. So:

2(s-37)=s

2s-74=s

s=74

VX= 37

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]x=1,CD=5[/tex]

Step-by-step explanation:

It's given that [tex]ABCD\cong FGHJ[/tex]. Because the side [tex]CD[/tex] corresponds with the side [tex]HJ[/tex], their lengths will be equal. Therefore, we have:

[tex]2x+3=3x+2,\\x=1[/tex]

Plugging [tex]x=1[/tex], we have:

[tex]CD=2(1)+3=5[/tex].

What is the equation of the line in slope-intercept form?
O Y=2x-8
O y = 2x+8
O y=8x-2
O y = 8x+2

Answers

Step-by-step explanation:

since b = 8, it has to be

y = 2x + 8

that was the whole point of the exercise, as the general slope-intercept form is

y = mx + b

you determined m = 2 and b = 8, so there is your answer. I am not sure where your problem was, as you solved the actual important part yourself.

how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?

Answers

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

Need help asap please

Answers

It’s the 4 th one I try ink

Answer:

the 4th one hope this helps

The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpkins they harvest usually weighs between 10 and 12 pounds. There are 60 rows and the farmers will plant the same number of seeds in each row. How many seeds will they plant in each row

Answers

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?

Answers

Answer:

2 oranges

Step-by-step explanation:

Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.

Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges

which of the following equations would have 2 x-intercepts

Answers

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.

a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950

Answers

Answer:

[tex]y = 25x +1950[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (30,2700)[/tex]

[tex](x_2,y_2) = (50,3200)[/tex]

Required

Determine the linear function

We start by calculating the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]

[tex]m = \frac{500}{20}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

[tex]y - y_1 = m(x - x_1)[/tex]

This gives:

[tex]y - 2700 = 25(x - 30)[/tex]

[tex]y - 2700 = 25x - 750[/tex]

Make y the subject

[tex]y = 25x - 750 + 2700[/tex]

[tex]y = 25x +1950[/tex]

HELP PLEASE HELP
What is the solution for 3 ≥ y − 2

Answers

y ≤ 5

i think this is the answer..

Find the missing side or angle.
Round to the nearest tenth.
B=18°
C=152°
b=4
c=[ ? ]

Answers

Answer:

c = 6.1

Step-by-step explanation:

Given that: B = 18° , C = 152°,  and b = 4.

The missing side, c, can be determined by applying the sine rule which states that:

[tex]\frac{b}{Sin B}[/tex] = [tex]\frac{c}{Sin C}[/tex]

[tex]\frac{4}{Sin 18^{o} }[/tex] = [tex]\frac{c}{Sin 152^{o} }[/tex]

c = [tex]\frac{4* Sin 152^{o} }{Sin 18^{o} }[/tex]

 = [tex]\frac{1.8779}{0.3090}[/tex]

 = 6.0773

c = 6.1

Therefore,  the value of the missing side, c, is 6.1

9(x-4) -7x=32-2(x+8)

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies​

Answers

Step-by-step explanation:

Given that the ratio of zebras are 5 and giraffes are 2

We add them giving is 7

So: giraffe=2/7 × 21 = 6

Zebra 5/7 × 21 = 15

Please answer thank you

Answers

Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Y=10.2x because once the items are added all up you get the amount of the total weight

complete the ratio table below

Answers

I think 53, 46, and 65

please help asap no trolls will give brainliest!!!

Answers

Step-by-step explanation:

The longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

So the smallest angle is <P.

Hope it may help :)

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