Describe and correct the error in graphing the system of inequalities. ​

Describe And Correct The Error In Graphing The System Of Inequalities.

Answers

Answer 1

Answer: The boundary lines are correct, but there shouldn't be any shaded region

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Explanation:

The graph of [tex]y \le x-1[/tex] will have us graph the boundary line y = x-1, and then shade below this solid boundary line. The boundary line y = x-1 is shown as the bottom boundary line of that diagram.

The graph of [tex]y \ge x+3[/tex] involves the boundary line y = x+3, with shading above the boundary line. The graph of y = x+3 is shown as the top boundary line of that diagram.

The boundary lines are correctly graphed, but the shaded region is incorrect. Instead, there shouldn't be any shaded region. The two shaded regions mentioned in the previous paragraphs do not overlap at all, so we don't have any (x,y) point that is in both shaded regions simultaneously. Therefore, there are no solutions to this entire system.

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

Here's another reason why there's no solution region.

For each given inequality, subtract x from both sides

So [tex]y \le x-1[/tex] turns into [tex]y-x \le -1[/tex], while [tex]y \ge x+3[/tex] turns into [tex]y-x \ge 3[/tex]

Next, let z = y-x

We can replace each copy of 'y-x' with 'z' and we end up with the two inequalities [tex]z \le -1[/tex] and [tex]z \ge 3[/tex]

However, no such number is both -1 or smaller, AND 3 or larger

So there is no solution to that system involving z. Consequently, there are no solutions to the original system of inequalities.


Related Questions

If g(x)=5/4x-7 what is the value of g(12)

Answers

Answer:

g(12) = 8

Step-by-step explanation:

g(x) = 5/4(12) - 7

g(x) = 5 × 3 - 7

g(x) = 15 - 7

g(x) = 8

i hope this helps :)

Anthony's little brother gets on a carousel that is 8 meters in diameter. At the start of the ride, his brother is 3 meters from the fence to the ride. How far will his brother be from the fence after the carousel rotates 240°?

Answers

Answer:

9 m

Step-by-step explanation:

Given that:

Carousel diameter = 8m

Radius of carousel = 8m / 2 = 4m

From the attached picture :

xo = d ; from the diagram attached ;

Using Pythagoras :

Cosθ = Adjacent / hypotenus

Cos 60 = d / 4

0.5*4 = d

d = 2

d = 2m

d + length of Radius + initial distance from fence

2m + 4m + 3m = 9m

Evaluate: ab+a^2, if a=937 and b=63

Answers

i think it’s 937,000

The value of expression ab + a² is,  9,37,000

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ ab + a²

And, a = 937, b = 63

Now, Substitute the value of a and b in expression as,

⇒ ab + a²

⇒ 937 × 63 + 937²

⇒ 937 (63 + 937)

⇒ 937 × 1,000

⇒ 9,37,000

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

N/-3 - 2 = 8 n=___ help

Answers

Answer:

-30

Step-by-step explanation:

[tex]\frac{N}{-3} -2 =8[/tex] ( Add 2 on both sides)

[tex]\frac{N}{-3} = 10[/tex] ( Multiply by -3 on both sides)

[tex]N = -30[/tex]

Verify:

[tex]\frac{-30}{-3} =10[/tex] (Correct)

Answer:

[tex] \frac{n}{ - 3} - 2 = 8 \\ \frac{n}{ - 3} = 8 + 2 \\ = 10 \\ n = 10 \times - 3 \\ n = - 30[/tex]

A car is parked 80 feet from the base of a 120-foot building. What is the angle of depression from the top of the building to the car? Round your answer to the nearest degree.


A 48° degrees


B 34° degrees


C 42° degrees


D 56° degrees

Answers

The angle of depression should be the inverse tangent of 80/120, which is about 34 degrees.

Enter the value of (−8)(45)(18).

Answers

Answer
-6480
If you need to show work I have no problem with putting it in the comments :)
Answer would be -6480

40 is 20 of what number

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{40 is 20\% of what time number?}\\\\\\\bullet \large\bold{We\ are\ looking\ for\ your\ UNKNOWN\ number; we\ can\ the\ value}\\\large\bold{is\ \underline{a}\ for\ our\ answer!}\\\bullet\large\bold{REMEMBER: Percentages\ are\ out\ 100\ \& the\ word\ \underline{of}\ means\ \underline{multiply}}[/tex]

[tex]\huge\text{NOW LETS SOLVE FOR YOUR ANSWER!}[/tex]

[tex]\bold{Equation: 20\%\ \times \ a\ =\ 40}\\\\\bold{a = \dfrac{40}{20\%}}}\\\\\bold{20\% = \dfrac{20}{100}\rightarrow 0.2}}}\\\\\bold{Equation: a = \dfrac{40}{0.2}}\\\\\bold{\dfrac{40}{0.2}=200}\\\\\bold{a=200}\\\\\boxed{\boxed{\bold{Answer: 200}}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

THIS IS FOR AN EXAM NEED HELP!!! Directions: Show all your steps as you solve the following problems. Round the solutions to the nearest hundredth if necessary.


7. On a 40‐point test, Steve received an 80%. How many points did he receive on the test?


8. Of the 8760 hours in a year, most televisions are on for 2190 hours. What percent is this?


9. The population of a town increased from 620 to 700. What is the percent of increase?


10. The population of a small town increased 23% from its population in 2000 to its population in 2003.
If the population of the town in 2000 was 25,314, what was its population in 2003?


11. To control his weight, Joel reduced his calorie intake from 2500 calories to 1950 calories each day. What was his percent of decrease for calorie intake?


12. The sales tax in Whittle City is 7%. How much tax is charged on a purchase of $53?


13. What is the simple interest on $2500 invested at an interest rate of 6% for 2 years?


14. Shawn earned a 5% commission on a $500 sale. How much did he earn?


15. Andrew measured the time it took for an apple to fall 50 feet as 1.95 seconds, but his calculations show that it should be 1.77 seconds. What was his experimental error?

Answers

1. 32 points 2. 25% 3. 2,100 4. 22% 5. 56.71 6. $300 7. $25 8. The answer for given problem is -2, but Andrew get -21.6 which is wrong.

Step-by-step explanation: brainliest pls ^^

0.5(400 + d) =4.25 d=​

Answers

Answer:

d = 53.33333

Step-by-step explanation:

Solve for d on calculator

Answer:

pleas help me asap please!!!!!!

pleas help me asap please!!!!!!

Step-by-step explanation:

pleas help me asap please!!!!!!


Two mechanics worked on a car. The first mechanic charged $115 per hour, and the second mechanic charged $65 per hour. The mechanics
combined total of 15 hours, and together they charged a total of $1475. How long did each mechanic work?

Answers

Answer:

Here is another case where we have two unknowns (the number of hours each mechanic worked) so we'll need two equations to solve.

Let A = number of hours first mechanic worked (the one who charged $45/hour)

Let B = number of hours second mechanic worked (the one who charged $105/hour)

From the problem statement, we know that the two mechanics worked a combined 35 hours so the first equation is:

Equation 1: A hours + B hours = 35 hours

We also know that in total, the charge was $2475.  So the second equation is:

Equation 2: (A hours x 45 dollars/hour) + (B hours x 105 dollars/hour) = 2475 dollars

So our two equations are:

1: A + B = 35

2: 45A + 105B = 2475

Multiply both sides of the first equation by -45 to get the following:

-45A - 45B = -1575

Now the two equations are:

1: -45A - 45B = -1575

2: 45A + 105B = 2475

Add them together and the "A" term drops out:

-45B + 105B = -1575 + 2475

or

60B = 900

Now divide both sides by 60:

B = 15

Now plug B = 15 into the first equation:

A + 15 = 35 thus A = 20

So Mechanic A (at $45/hour) worked 20 hours and Mechanic B (at $105/hour) worked 15 hours

Check: 20x45 + 15x105 = 900 + 1575 = 2475

Step-by-step explanation:

hope it helps you (:

Ursula likes to kayak. She uses the equation y=4x to calculate how far she has traveled, where y represents the number of miles traveled, and x represents the number of hours spent kayaking.

How many hours must Ursula kayak to travel 10.4 miles?

Answers

Hopefully this helps you get how to set up these types of problems
Answer: 2.6 hours

Y = 4x

Given: y = 10.4

10.4 = 4x

Rearrange

4x = 10.4

x = 10.4/4 = 2.6 hours

(The below part might not be needed)

0.6 x 60 = 36 min

2 hr 36 min

Find each value below.




Answers

Bbbgkwjejejejejehehehejejejejeje

Answer:

7.) x = 21

8.) y = 6

9.) angle F = 62 degrees

10.) TS = 10

Step-by-step explanation:

5y-2 = 28

5y = 30

y = 6

4x+6 = 90

4x = 84

x = 21

angle F = 90-28

angle F = 62 degrees

3z-8 = z+4

2z = 12

z = 6

TS = z+4 = 10

Suppose I randomly choose 4 distinct integers between 1 and 60. Is it true, or is it not true, that at least 2 of them must differ by no more than 19.

Answers

Answer:

It’s true

Step-by-step explanation:

Proof by induction

Let the four chosen numbers be x_1, … x_4 and, without loss of generality, let x_1 < x_2, … < x_4.

For x_1 = 1, the smallest possible choice, let x_2 = x_1 + 20 = 21 be the smallest possible choice that has a difference larger than 19. Likewise, x_3 = x_2 + 20 = x_1 + 40 = 41. Then x_4 has to be at least x_3 + 20 = x_1 + 60 = 61 which is out of range.

For the induction, suppose that x_4(n) = x_1(n) + 60 > 60 and therefore x_4(n) can’t be chosen for a given x_1(n). Then incrementing x_1(n+1) = x_1(n) + 1 would require x_4(n+1) to be at least x_1(n) + 1 + 60 = x_4(n) + 1 > 61, so this is out of range as well.

For another induction, suppose that x_4(n) = x_2(n) + 40 > 60 and therefore x_4(n) can’t be chosen for a given x_2(n). Then incrementing x_2(n+1) = x_2(n) + 1 would require x_4(n+1) to be at least x_2(n+1) + 40 = x_4(n) + 1 > 61, so this is out of range as well.

Likewise, for the induction, suppose that x_4(n) = x_3(n) + 20 > 60 and therefore x_4(n) can’t be chosen for a given x_3(n). Then incrementing x_3(n+1) = x_3(n) + 1 would require x_4(n+1) to be at least x_3(n+1) + 20 = x_4(n) + 1 > 61, so this is out of range as well.

Therefore all choices of x_1, x_2, x_3 with differences greater than 19 leaves no choice of x_4 within range with x_4 > x_3 + 19.

Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.

Answers

Answer:

$68.24

Step-by-step explanation:

Three friends went to Texas Roadhouse for dinner. The total bill was $76.25. They left the server a 20% tip and the Montgomery County tax rate is 9.5%.

Given data

The total bill was $76.25

tip

=20/100*76.25

=0.2*76.25

=15.25

Tax

=9.5/100*76.25

= 0.095*76.25

=$7.24375

In all the bills is 76.25-15.25+7.24375

=61+7.24375

=$68.24

2v+7=3

Help me out


I’m dating vinnie hacker

Answers

2v=3-7
2v=-4 divide both sides
v=-2

Answer:

v= -2

Step-by-step explanation:

2v+7=3 ------> 2v = 3 - 7 ----------> 2v = -4 ( divide by 2)

v = -2

cell phone provider offers a plan that costs ​$40 per month plus ​$0.20 per text message sent or received. A comparable plan costs ​$70 per month but offers unlimited text messaging.

Answers

Answer:

the second one is the better deal

Step-by-step explanation:

5r + 2(3r - 1) = -46

please show the work

Answers

Answer:

R = - 4

Step-by-step explanation:

5 r + 6r - 2 = - 46

11 r - 2 = - 46

11 r = - 46 + 2

11 r = - 44

r = - 4

Please I need help fast please help me

Answers

Answer:   0-o uhhhh 0-o

uhhhh0-o

Step-by-step explanation:

21/5 as a whole number

Answers

4.2 is the answer of this question you are asking ✌️
4.2 is the answer. Hoped this helped a bit!

Question 3
Find the slope-intercept form of the equation of the line that passes through (-6, 2)and is parallel to y=2x+3

Answers

Answer:

How to use Algebra to find parallel and perpendicular lines. ... y = mx + b. Slope- Intercept Form ... Find the equation of the line that is: ... For y = 3x + 2: the slope is 3, and y- intercept is 2.

Ben has $19 to spend. He spent $7.25, including tax, to buy a notebook. He needs to save $2.75 but he wants to buy a snack. If pretzels cost $0.50 per package including tax, what inequality would show the maximum number of packages that Ben can buy?
PLS HELP ASAP:
- what is the INEQUALITY FOR THIS PROBLEM. THAT'S ALL IM ASKING. DON'T SOLVE IT.

Answers

Answer:

($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19

Step-by-step explanation:

First, let's define the variable:

p = pretzel packages

Let's first find out how much money Ben has after buying the notebook.

$19 - $7.25 = $11.75

So, we know that Ben has $11.75 left.

The inequality would be: ($19 - $7.25) - $2.75 ÷ (0.50p) ≤ 19

M<6=(x+10), m<2=(x+15)
<6 and <2 are alternate interior angles

Answers

Answer:

ano ang pinag kaiba noon kaysa ngayon

(1/2x-3/8) ÷1/3+4/7(5-1/4x)

Answers

Answer:

[tex]\frac{19}{14}x + \frac{97}{56}[/tex]

Step-by-step explanation:

I've written my working in the picture. I hope it's clear. :,)

I've expanded the brackets, simplied the fractions before simplifying them again, having found the common denominators of the constants and x terms.

Can someone help me please :)

Answers

Step-by-step explanation:

the answer is in the attachment.

tan 2A + sin 2A=4 tan A/(1 - tan4 A)​

Answers

Answer:

[tex]when \: \\ \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } \: \: and \\ \sin(2x) = \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ then \\ \sin(2x) + \tan(2x) = \frac{2 \tan(x) }{1 - {( \tan(x)) }^{2} } + \frac{2 \tan(x) }{1 + {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x)(1 + {( \tan(x)) }^{2} + 2 \tan(x) (1 - {( \tan(x)) }^{2} }{(1 + {( \ \tan(x)) }^{2}(1 - {( \tan(x)) }^{2} } \\ = \frac{2 \tan(x) \times 2 }{1 - {( \tan(x) }^{4} } \\ = \frac{4 \tan(x) }{1 - {( \tan( \times ) )}^{4} } [/tex]

Step-by-step explanation:

If you need any explanation. I can do it, my friend. you can communicate with me to that or any thing do you need in math

Find the 3rd term in the sequence​

Answers

c₂ = c₁ - 16 = 6 - 16 = -10
c₃ = c₂ - 16 = -10 - 16 = -26

Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?
Ovo

Answers

I’m pretty sure it’s 5/7 .

Please give brainliest !

The budget for a school dance is 370.00. The band charges $65.00 per hour. What is the maximum number of hours the school can have the band play at the dance?

Answers

C. 4 hours I think hope this helps :)
I think it’s C but the amount of hours is 5

1 Expand and simplify each expression
a) x(x+2)+x(x+5)

Answers

x^2 + 2x + x^2 + 5x

2x^2 + 7x

Tina went out to eat and her bill was $24.75.
She wants to leave the waiter a 20% tip. How
much more money will be added to her bill
once she included the tip?

Answers

Answer:

your awnser should be. 24.75 + 20% = $29.70

so the amount added to her bill is $4.95

Answer:

the bill will be 4.95 more than the original cost without the 20% tip.

Step-by-step explanation:

cost before tip: 4.75

cost after 20% tip: 29.70 or 30.00 (rounded)

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