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

There are 16 circles and 12 squares. What is the simplest ratio of squares to circle

Answers

Answer:

4:3

Step-by-step explanation:

divide each by 4

hi sorry im slow could someone help

Answers

Answer:

95

Step-by-step explanation:

For an end-of-year party, Ms. Wilson purchased 98 stickers and 56 lollipops. Each student will receive an equal number of stickers and an equal number of lollipops. There will be no stickers or lollipops leftover.

Based on this information, what is the greatest number of students that Ms. Wilson can have in her class?

Answers

Answer:

14 i think

Step-by-step explanation:

tbh, just guess and check

98/7=14 each student gets 7 stickers

56/14=4 each student gets 4 lollipops

there are 14 students.

A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?

Answers

Answer:

13 1/3 cups

Step-by-step explanation:

The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1

1 1/3 x 10 = 13 1/3

Answer:

13 1/3

Step-by-step explanation:

12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup

40.54-29.63
Math problem
Hey

Answers

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Shawnda spent $259.20 on a scooter. This was 80% of her budget for a new scooter. How much was the total budget?

Answers

x * 0,8 = 259,2 <=>

x = 258,2/0,8 <=>

x = 322,75

The total budget was 322,75$

The total budget was = $324

The percentage of budget spent = 80%

The cost of 80% of budget spent on scooter = $259.20

But the percentage of total budget = 100%

Therefore the cost of total budget =

[tex] \frac{100 \times 259.20}{80} [/tex]

[tex] \frac{25920}{80} [/tex]

= 324

Therefore the cost of the total budget = $324

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https://brainly.com/question/16790959

help please? i am a little bit confused

Answers

d: 1.25

c: .035

b: .70

a: .23

these are just my guesses but if there right then I hope this helps. I don't know it but these are my best affiliations.

Someone please help and tell me what Y is with which X. I don’t understand this and need a good grade.

Use the line of symmetry to complete the table then graph f(x) = x^2+4x+2.

X -4, -3,-2,-1,0
y-

Answers

the rest of the table is Y: 2, -1,-2,-1,2 then graph it using these points (-4,2) (-3,-1) (-2,-2) (-1,-1) (0,2)
Oh yeah lol yeah I’m pretty

HELP ME PLS WITH THIS

Answers

Answer:

j

Step-by-step explanation:

Solve the inequality.

8+k≤−3
The solution is
.

Answers

Answer:  k [tex]\leq[/tex] -11

Step-by-step explanation:

8 + k [tex]\leq[/tex]  -3  Subtract 8 from both sides

-8            -8

   k [tex]\leq[/tex] -11

The solution to the given inequality 8 + k ≤ -3 is k ≤ -11 which represents all values of k that are less than or equal to -11.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The given inequality is given in the question:

8 + k ≤ -3

To solve the inequality 8 + k ≤ -3, you can start by subtracting 8 from both sides to isolate the variable:

k ≤ -3 - 8

k ≤ -11

The solution to this inequality is all values of k that are less than or equal to -11. This includes all negative numbers less than or equal to -11, as well as -11 itself.

Therefore, the solution to the given inequality is k ≤ -11.

Learn more about inequalities here:

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#SPJ2

help pleaseeeeeeeseee

Answers

Answer: this diagram is not a function because one input need one output and 0 and -4 share the output -2

Step-by-step explanation:

match each fraction with the equivalent expressions plz help
-2 divided by 10
10 divided by -2
1 divided by 5
5 divided by 1 so which on matches each one

5/1
-2/10
10/-2
1/5

Answers

-2 divided by 10

-2/10

10 divided by -2

10/-2

1 divided by 5

1/5

5 divided by 1

5/1

Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11

Answers

Answer:

my best guest would be only 10

Step-by-step explanation:

There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).

What is inequality?

An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

The inequality is given in the question, as follows:

3y - 8 > 22

We have to determine which number would satisfy the inequality.

As per the question, we have

⇒ 3y - 8 > 22

Add 8 both sides of the above inequality,

⇒ 3y - 8 + 8 > 22 + 8

⇒ 3y > 30

Divided 3 into both sides of the inequality, we get

⇒ y > 30/3

⇒ y > 10

So, we can conclude that 13, and 11 would satisfy the inequality.

Hence, the correct answer would be options (A), and (E).

Learn more about inequalities here:

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Tickets purchased online cost $90 plus a 5% fee. How much is the fee?

Answers

Answer:

$94.5

Step-by-step explanation:

Original Cost: $90

Tax: 5% OR 0.05

Tax Cost:

90 x 1.05

= 94.5

whats the y intercept in x + y = –3

Answers

Answer:

the y-intercept is -3

Step-by-step explanation:

x+y=3

-x      -x

y=-x-3

b=-3

Answer: Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x+y-(-3)=0

STEP

1

:

Equation of a Straight Line

1.1 Solve x+y+3 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+y+3 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000

y-intercept = -3/1 = -3.00000

Calculate the X-Intercept :

When y = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

x-intercept = -3/1 = -3.00000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -3.000 and for x=2.000, the value of y is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -2.000/2.000 = -1.000

Geometric figure: Straight Line

Slope = -2.000/2.000 = -1.000

x-intercept = -3/1 = -3.00000

y-intercept = -3/1 = -3.00000

ONLY ANSWER IF YOU HAVE SOLUTION OR ELSE U WILL BE REPORTED!
An unbiased dice with faces marked 1, 2, 3, 4, 5 and 6 is rolled four times. Out of four face values obtained, the probability that the minimum value is not less than 2 and the maximum value is not
greater than 5 is:
a) 1/81 b) 80/81
c) 16/81 d) 65/81

Solution with some explanation

Answers

Step-by-step explanation:

Let us intepret this condition in our context:

"...that the minimum value is not less than 2 and the maximum value is not greater than 5"

This means that when we roll the dice, we do not want 1 or 6 to appear. Instead we wish for 2/3/4/5 to appear.

The probability of getting these four sides out of six in a roll is 4/6, or 2/3.

We have to roll this dice 4 times. Hence we raise the probability to a power of 4:

Total probability = (2/3)⁴

= (2)⁴ / (3)⁴

= 16/81. (C)

What is the value of the expression when a = -5 and c = -1?

Answers

Answer:

(8-5) + (16-1)=18

Percy has already walked 25 kilometers this week, plus he plans to walk 5 kilometers during
each trip to school. After 12 trips to school, how many kilometers will Percy have walked in
total?

Answers

Answer:

85

Step-by-step explanation:

He walked 25 already. So you have x=25. He walks 5 km during each trip. There are 12 trips. 5 times 12 is 60. x=25+60. So, 25 plus 60 is 85.

If the right tail of a dot plot is longer than the left, which of these statements is true about the distribution it represents?​

Answers

Answer:

D

Step-by-step explanation:

A Family spent a total of $73.75 on movie tickets and snacks. Each ticket cost $12.50, and each snack cost $4.75. If the family bought a total of 9 tickets and snacks, How many of each did they buy?

Answers

Answer:

4 Tickets and 5 Snacks

Step-by-step explanation:

Answer:

The family bought 4 tickets and 5 snacks.

Step-by-step explanation:

$12.50 x 4 tickets = 50

$4.75 x 5 snacks = 23.75

$50 + $23.75 = $73.75

What is the value of x in the solution to the system of equations? 4x - 2y = 5 y = 3x - 1​

Answers

Answer:

X = 7

Step-by-step explanation:

Please mark brainliest.

Answer:

[tex]\huge\boxed{\sf x = -2}[/tex]

Step-by-step explanation:

4x - 2y = 5 -------------------------------(1)

y = 3x - 1 ----------------------------------(2)

Put Eq. (2) in (1)

4x - 2(3x-1) = 5

4x - 6x + 1 = 5

-2x + 1 = 5

Subtracting 1 to both sides

-2x = 5 - 1

-2x = 4

Dividing both sides by -2

x = 4 / -2

x = -2

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AnonymousHelper1807

6th grade math i mark as brainliest​

Answers

Ans:Option 2
8(4c+6)+10
=32c+48+10
=32c+58

Hope this can help.

PLEASE HELPP ill give brainiest

Answers

Answer:

-8

Step-by-step explanation:

Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?

Answers

Answer:

Molly earned $856 on the first day.

Step-by-step explanation:

From the information given, you know that over 3 days Molly earned $2,568 which is:

x+y+z=2568, where:

x is the amount earned on the first day

y is the amount earned on the second day

z is the amount earned on the third day

Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.

Now you can replace x and y in the first equation and solve for y:

2y+y+3y=2568

6y=2568

y=2568/6

y=428

No, you can replace the value of y to find x and z:

x=2(428)

x=856

z=3(428)

z=1284

According to this, the answer is that Molly earned $856 on the first day.

If a two story home has a ground floor of 25*30 feet and second floor of 20*30 feet, what is the total square footage of the home?

Answers

Answer: 1350 ft^2

Step-by-step explanation:

The total square footage of the home will be equal to the sum of the areas of each floor.

We know that the ground floor is 25 ft by 30ft,  which can be thought of as a rectangle with a length of 25ft and a width of 30 ft.

We know that te area of a rectangle of width W and length L is:

A = L*W

then the area of the ground floor is:

A = 25ft*30ft = 750 ft^2

And the second floor is 20ft by 30ft, then using the same approach as above, the area of the second floor will be:

A = 20ft*30ft = 600ft^2

Then the total square footage of the home is:

SF = 750ft^2 + 600ft^2 = 1350 ft^2

The total square footage of the home will be 1350 feet².

Based on the information given, the area of the first floor will be:

= 25 × 30

= 750 feet²

The area of the second floor will be;

= 20 × 30

= 600 feet ²

The total square footage will be:

= 750 + 600

= 1350 feet ²

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https://brainly.com/question/20360160

Which postulate can be used to prove congruence? Please help

Answers

Answer: Choice E) Insufficient information to prove congruence.

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

Explanation:

We're given that AB = DC and BE = CE. This means we have two pairs of congruent sides and we could use SAS if we know that angle ABE = angle DCE. However, we don't know this information.

While we do know that angle AEB = angle DEC (vertical angle theorem), this is not enough information. Recall that SSA is not a valid congruence theorem. The angles in question are not between the sides mentioned in the previous paragraph.

Therefore, we don't have enough information to prove the triangles congruent.

-----------------

Side notes:

We can't use SSS because we don't have info about three pairs of sides. We only have info about two pairs of sides.We can't use ASA because we only have info about one pair of angles.We can't use HL because this only applies to right triangles.

THE answer is...
Tell me you will get 10 points

Answers

Answer:

First option: 3 blocks to the right, 5 blocks down

Step-by-step explanation:

Which of the following expressions represents "the difference of 8 and n"?
0-8 n
08-0
On-8

Answers

Answer:

n-8

Step-by-step explanation:

difference means subtraction so it can't be 8n which is multiplication or 8-0 because n is not represented.

Can somebody plz help answer all them correctly thanks!

WILL MARK BRAINLIEST WHOEVER ANSWERRSS FIRST :DD

Answers

Answer:

7 would be 56 in both boxes.

8 would be 75 in both of the boxes.

9 would be 3 in both of the boxes.

10 would be 60 in both of the boxes.

11 would be 62 in both boxes.

and 12 would be 5 in both boxes.

Step-by-step explanation:

If you need an explanation you can message me and I'll break it down for you

a total of 35 students are going to a field trip to NASA'S Johnson space center in houston,texas if there needs to be one adult for every 8 students, how many adults are needed?

Answers

Answer:

at least 5

Step-by-step explanation:

Answer:

Well the answer comes out as a decimal but 4 or 5 would be about how many adults they would need

If you wanna know the decimal it was 4.375 which rounds to 4.4 so it’s closer to 4 but they would probably need 5

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