Consider the following system of equations

-2x+5y=19
Y=-5/6x-1/6

Use this graph of the system to approximate its solution

A. (13/4,-5/2)

B. (-5/2,13/4)

C. (-13/4,5/2)

D.) (5/2,-13/4)

Consider The Following System Of Equations -2x+5y=19Y=-5/6x-1/6Use This Graph Of The System To Approximate

Answers

Answer 1

Answer:

C

Step-by-step explanation:

We have the system of equations:

[tex]\displaystyle -2x+5y=19 \\\\ y=-\frac{5}{6}x-\frac{1}{6}[/tex]

And we want to use the graph to approximate the solution to the system.

Remember that, graphically, the solution to a system of equations is where the two graphs intersect.

We can see that the point at which the two lines intersect is in QII.

Hence, x is negative and y is positive.

The only choices that satisfies these conditions are B or C.

However, for B, -5/2 is -2.5. As we can see from the graph, the x-coordinate of the point of intersection is less than -3.

Hence, the only choice left is C. -13/4 also is -3.25, fulfilling our condition.

So, our final answer is C.


Related Questions

Kiesha and her classmates wrote proportions for the reduction of a triangle.

A larger and smaller triangle have corresponding heights and bases.

Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction

Answers

Answer: A, B, and D are correct!

Step-by-step explanation:

Hope this helps! :)

The three proportions that are set up correctly for the reduction of a triangle are:

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Options 1, 2, and 3 are correct.

What is a triangle?

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

The three proportions that are set up correctly for the reduction of a triangle are:

1)

original height / original base = reduction height / reduction base

This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.

2)

original height / reduction height = original base / reduction base

This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.

3)

original height / reduction base = reduction height / original base

This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.

Thus,

original height / original base = reduction height / reduction base

original height / reduction height = original base / reduction base

original height / reduction base = reduction height / original base

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ3

A plane traveled 322 miles from El Paso in a direction 57° northeast. What is height of the plane, to the nearest mile?​

Answers

Answer:

The height of the plane to the nearest mile is 175 miles

Step-by-step explanation:

Here, we want to calculate the direction of the plane

A diagrammatic representation of this will be interesting

Please check an attachment for this

From the diagram, consider the triangle OAB

we want to calculate the height of this triangle

We simply apply trigonometric identity

Thus, we have that;

Sine 33 = h/322

h = 322 sine 33

h = 175.37

h is approximately 175 miles

Help????? Pls?????????

Answers

18 men in the dance recital

Answer:

20 men in the dance recital.

Step-by-step explanation:

tt

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

Twenty (20) is what percent of 10% of 4,000?

Answers

Answer:

400

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

thank you for your help :) really appreciate! Here’s the new one

Answers

Answer:

8 units

Step-by-step explanation:

The two squares have equal areas.

For each square:

area = 32 units^2

For a square:

area = side^2

side^2 = 32

side = sqrt(32)

For the two squares, the length of the side is sqrt(32).

The sides of the squares are the legs of the right triangle.

a^2 + b^2 = c^2

(sqrt(32))^2 + (sqrt(32))^2 = x^2

32 + 32 = x^2

x^2 = 64

x = 8

Answer: 8 units

Answer

8 units

Explanation

The side of one of the squares is the same length as one of the legs on the triangle.

To find one side of the square, you need to find the square root, because to find the area of a square, you need to square the sides. To find one side, you do the opposite.

So the length of one side is the square root of 32.

Now don't worry that this is a weird number (which is 5.656854249...) because we'll be squaring it again.

The length of one side of the square is the leg of a right triangle.

To find the hypotenuse (or the longest side), you need to use the Pythagorean theorem.

[tex]l^{2} + l^{2} = h^{2}[/tex]

The square root of 32 squared is 32.

[tex]32+32=h^{2}[/tex]

[tex]64=h^{2}[/tex]

To find h, you need to find the square root. The square root of 64 is 8.

Therefore, the length of x is 8 units.

the number of employees went from 7623 to 6824 what percent did this increase or decrease

Answers

Answer:

9.5% decrease

Step-by-step explanation:

Someone please help me make an equation for the first question! :)

Answers

12y + 1x
part b:
22y + 6x

triangle pqr is an iscosceles triangle with the coordinates p(2,3), q(5,10), and r(8,3). what is the area of triangle pqr ?

Answers

Answer:

idek

Step-by-step explanation:

i do not know i’m sorry.

Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28

Answers

Answer:

b. 14

Step-by-step explanation:

confused :( please help!!!!

angles are confusing aaaaaa

Answers

Answer:

22

Step-by-step explanation:

Angles CBD and ABD are complementary, which means that they have a sum of 90 degrees. Since it tells you that angle ABC is 68 degrees, subtract that from 90.

90-68= 22

Answer:

29

Step-by-step explanation:

Each batch of cookie mix need 0.4 cups of sugar, and each batch can make 16 cookies. If Ashley is making 4 batches of cookies, how much sugar does she need?
Can you please explain your answer pretty plz

Answers

Answer:

.16

Step-by-step explanation:

All you do is double each number by 4.

Answer:

1.6 cups of sugar

Step-by-step explanation:

1 batch=0.4 cups

So if you want 4 batches, you would have to quadruple the amount of sugar

0.4x4=1.6

PLEASE HELP ASAP!!!!!!!!!!!!!!!!

Answers

Answer:

25

Step-by-step explanation:

180-130=50

50/2=25

Answer:

x = 25 degrees

Step-by-step explanation:

the figure is an isosceles triangle

x + x + 130 = 180

2x + 130 = 180

2x = 180 - 130

2x = 50

x = 25 degrees

Help, please. My assignment is past due so pls hurry.

Answers

Answer:

X=8

Step-by-step explanation:

46+9x-8=14x-2

46-8+2=14x-9x

40=5x

8=x

Answer:

x=8

Step-by-step explanation:

Hope this helped have an amazing day!

If 4x+5=13x+4-x-9 then x= ?

Answers

4x + 5 = 12x -5
10 = 8x
10/8 = x
5/4 = x

Answer:

x = 5/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define Equation

4x + 5 = 13x + 4 - x - 9

Step 2: Solve for x

Combine like terms:                    4x + 5 = 12x - 5Subtract 4x on both sides:          5 = 8x - 5Isolate x term:                              10 = 8xIsolate x:                                       5/4 = xRewrite:                                        x = 5/4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    4(5/4) + 5 = 13(5/4) + 4 - 5/4 - 9Multiply:                               5 + 5 = 65/4 + 4 - 5/4 - 9Add:                                     10 = 81/4 - 5/4 - 9Subtract:                              10 = 19 - 9Subtract:                              10 = 10

Here we see that 10 does indeed equal 10.

∴ x = 5/4 is the solution to the equation.

7÷7/11=
Please explain for me

Answers

Answer:

11

Step-by-step explanation:

You have to first make the 7 into a fraction (7/1) then keep, change, flip.

You keep the 7/1 as it is, you change the division sign into a multiplication sign, and you flip the 7/11 to 11/7. You then just multiply straight across to get 77/7 which is the same thing as 11/1 which is the same thing as 11!

Final answer:11

matching math game help!​

Answers

Answer:

dude your math period is way too long

Answer:

dude your math period is way too long

6x + 3y = 33
4x + y = 15

Answers

Here is the resolution

Which of the following expressions is equivalent to the expression given below.

12 (-31 + 26) + 45
—————————
4

3.5

-3.75

4.2

-4.5

Answers

Answer:

wuhh

Step-by-step explanation:

The Answer: -15
I hope this helps you out

can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)

Answers

Answer:

Yes

Step-by-step explanation:

I would say yes, x is multiplied by itself to get an answer for y.

What is the percent of change of 25 when decreased to 18?

Answers

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

HELLLLLLP’!!!!
Suppose f(x)=2x-3 describe how the graph of g compares with the graph of f G(x)=f(x)+11

Answers

Answer:

Step-by-step explanation:

g(x) = 2x - 3 + 11

= 2x + 8.

The graph of g is parallel to the graph of f but f is translated upwards by 8 units.

I need help please!!!!

Answers

The first two is wrong, the last two is one of the right ones, I think it’s c

What is the perimeter of the parallelogram?

29 cm
80 cm
58 cm
32 cm 2

Answers

Answer:

199 [tex]cm^{2}[/tex]

Step-by-step explanation:

Answer:

58 CM

Step by Step explanation.

10/3 = x divided by -5/2
x = ?

Answers

Answer:

-4/3

have a nice day/night

Answer:

x = -25/3

Step-by-step explanation:

x divided by -5/2 is equal to x multiplied by -2/5

therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]

cross-multiply: -6x = 50

x = -50/6 or -25/3

The linear combination method gives a solution of (–4, 2) for which of these systems of linear equations? 3 x + 13 y = 14. And 6 x + 11 y = -2. 4 x + 5 y = 12. And 8 x + 3 y = -4. 5 x + 4 y = 12. And 7 x + 8 y = 12. 10 x + 3 y = 8. And 17 x + 6 y = 10.

Answers

Answer:

A. [tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

Step-by-step explanation:

Required

Determine which system of equation satisfy (-4,2)

To do this, we simply substitute -4 for x and 2 for y in the given functions.

A.

[tex]3x + 13y = 14[/tex] and [tex]6x + 11y = -2[/tex]

[tex]3x + 13y = 14[/tex]

[tex]3(-4) + 13(2) = 14[/tex]

[tex]-12 + 26 = 14[/tex]

[tex]14 = 14[/tex]

[tex]6x + 11y = -2[/tex]

[tex]6(-4) + 11(2) = -2[/tex]

[tex]-24 + 22 = -2[/tex]

[tex]-2 = -2[/tex]

The above shows that the given linear combination has a solution of (-4,2).

Hence, this option answers the question and there is no need to check other options

Answer: the answer is A

Step-by-step explanation:

What is this??????????

Answers

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

A boy wants to purchase 1,400 green marbles. If there are 70 green marbles in each bag, how many bags of marbles should the boy buy?

Answers

Answer:

20 bags

Step-by-step explanation:

1400/70

Answer:

20 bags

Step-by-step explanation:

1400 ÷ 70 = 20

Derin is buying a new car at the price of $14,799.99. If he must pay 5% in sales tax, how much will his new car really cost him

Answers

it will cost him 15,539.99

Find gradient of y=x^2-4x+6 at (3,3)

Answers

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.

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