Which ordered pair makes both inequalities true? y < 3x – 1 y > –x + 4 On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (0, negative 1) and (1, 2). Everything to the right of the line is shaded. The second solid line has a negative slope and goes through (0, 4) and (4, 0). Everything above the line is shaded.

Answers

Answer 1

Answer:

None of the options is true

Step-by-step explanation:

Given

[tex]y &lt; 3x - 1[/tex]

[tex]y &gt; -x + 4[/tex]

Required

Which makes the above inequality true

The missing options are:

[tex](4,0)\ (1,2)\ (0,4)\ (2,1)[/tex]

[tex](a)\ (x,y) = (4,0)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]0<3*4 - 1[/tex]

[tex]0<12 - 1[/tex]

[tex]0<11[/tex] ---- This is true

[tex]y &gt; -x + 4[/tex]

[tex]0 > -4 + 4[/tex]

[tex]0 > 0[/tex] --- This is false

[tex](b)\ (x,y) = (1,2)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]2<3 * 1 - 1[/tex]

[tex]2<3 - 1[/tex]

[tex]2<2[/tex] --- This is false (no need to check the second inequality)

[tex](c)\ (x,y) = (0,4)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]4< 3*0-1[/tex]

[tex]4< 0-1[/tex]

[tex]4<-1[/tex] --- This is false (no need to check the second inequality)

[tex](d)\ (x,y) = (2,1)[/tex]

Substitute values for x and y in the inequalities

[tex]y &lt; 3x - 1[/tex]

[tex]1<3*2-1[/tex]

[tex]1<6-1[/tex]

[tex]1<5[/tex] --- This is true

[tex]y &gt; -x + 4[/tex]

[tex]1 > -2+4[/tex]

[tex]1 > 2[/tex] -- This is false

Hence, none of the options is true


Related Questions

Rotate the vector 3,-2 90 degrees clockwise about the origin.

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Answer:

-2,-3

Step-by-step explanation:

Answer:

-2 -3

It worked for me on acellus

Step-by-step explanation:

Find the volume of the prism.

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Answer:

11,968

Step-by-step explanation:

I'm not sure, but I think its 11,968

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Step-by-step explanation:

Surface Area of Cylinder = 2πrh+2πr^2

2π(3)(12) + 2π(3)^2

= 282.7 yd^3

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C, She can read 216 words per minute, bc 72 divided by 1/3 is 216

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What are the possible rational zeros of f(x) = x4 + 2x3 − 3x2 − 4x − 12?

Answers

I don’t know I’m sorry I got 6x and I don’t think that’s right

if you have a cylindrical tank that's 10 feet long and has a radius of 2 feet, what's the maximum possible capacity of the tank in gallons of water if 1 cubic foot of water = 7.48 gallons? Round your answer to two decimal places.

Answers

Answer:

Step-by-step explanation:

Volume = pi * r^2 * h

r = 2 feet

h = 10 feet

Volume = 3.14 * 2^2 * 10

Volume = 125.6 cubic feet

1 cubic foot contains 7.48 gallons

125.6 cubic feet contain 7.48 * 125.6 = 930.488

The tank contains 930.49 gallons.

Please help! What is 9.6=1/2b show work please!

Answers

Answer:

b = 19.2

Step-by-step explanation:

9.6 = ½b

=> 9.6 × (2/1) = b

=> 9.6 × 2 = b

=> 19.2 = b

HELLLPPP 31 kilograms is the same as how many pounds? Hint: 1 kg = 2.2 lb Round your answer to the nearest tenth.​

Answers

Hi! I'm happy to help!

To solve this, we need to turn all the kilograms into pounds. We know that to turn 1 kg into a pound, you multiply the amount of kilograms by 2.2.

Knowing this, we can multiply our 31 kilograms by 2.2.

31×2.2=68.2

This means that 31 kilograms is equal to 68.2 pounds.

I hope this was helpful, keep learning! :D

The population of Greater Accra increased by 20% and became 900,7000. The original population of the city was:

Answers

Answer:

the original population of the city is 7,505,833

Step-by-step explanation:

Given;

new of the population of the city, Y = 9,007,000

the percentage increase of the city, = 20% = 0.2

Let the original population of the city = X

New population, Y = X  + 0.2X

                           Y = X(1 + 0.2)

                           Y = X(1.2)

                           Y = 1.2X

                           X = Y/1.2

                           X = (9,007,000) / 1.2

                           X = 7,505,833

Therefore the original population of the city is 7,505,833

the average American student is in class 330 minutes a day how many hours is this

Answers

Let assume hours be x.

1 hour = 60 minutes

x hour = 330 minutes

[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]

[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]

[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]

Total hours in a day is 5.5

The average American student is in class 5.5 hours a day.

What is Measurement unit?

A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.

We have to given that;

The average American student is in class 330 minutes a day.

We know that;

⇒ 1 hours = 60 minutes

⇒ 1 minute = 1/60 hours

Hence, We can change the unit as;

⇒ 330 minutes = 330 / 60 hours

                        = 5.5 hours

Thus, It is equal to 5.5 hours.

Learn more about the measurement unit visit:

https://brainly.com/question/777464

#SPJ2

What is the answer for this question

Answers

Answer:

option d. is the correct answer

Simplify to create an equivalent expression.
2(3y + 6) - 3(-4- y)
Choose 1 answer:
gy
5y + 24
9y - 24
9y + 24

Answers

Answer:

9y + 24

Step-by-step explanation:

2(3y + 6) - 3(-4 - y)

= 6y + 12 - 3(-4 - y)

= 6y + 12 + 12 + 3y

= 9y + 12 + 12

= 9y + 24

Which label on the cone below represents the center of the base?
D
B
Ο Α
OB

Answers

Answer:

C

Step-by-step explanation:

The center of the base is the center of the circle

The center of the circle is C

A rectangular school yard has a perimeter of 114 meters and an area of 702 square meters. What are the dimensions of the school yard?

Answers

18 by 39.

Reason:
2x+2y=114 (perimeter)
XY=702 (area)
X=18
Y=39

What is the slope of the line shown below?
10+
5
(9, 1)
o A. -
OB.
OC
10
15
(-3,-7) 5
10
O
D.
WIN

Answers

Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

Work out the value of 10^2 - 4^3
Give your answer as a power of 6.

Answers

Answer:

6^2 = 36

Step-by-step explanation:

10^2 = 10 * 10 = 100

4^3 = 4 * 4 * 4 = 64

10^2 - 4^3= 100 - 64 = 36 = 6^2

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]6^2[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\10^2 - 4^3\\---------------\\\rightarrow 10^2 = 100\\\\\rightarrow 4^3 = 64\\\\\rightarrow 100 - 64 = \boxed{36}\\\\\text{Since we know that '36' is a perfect square, we can rewrite our answer as: } \boxed{6^2}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

If the point (b,15) lies on the straight line with equation Y=5x fonde the value of b ?

Answers

Answer:

b = 3

Step-by-step explanation:

Substitute the y- coordinate 15 into the equation , that is

15 = 5x ( divide both sides by 5 )

3 = x

This is the x- coordinate of the point , so b = 3

4
Select the correct answer.
Simplify the expression. What classification describes the resulting polynomial?
(8x2 + 3x) – (12x2 - 1)
OA.
quadratic binomial
OB. quadratic trinomial
O C.
linear monomial
OD.
linear binomial
Reset
Reset
Next

Answers

Answer:

quadratic trinomial

Step-by-step explanation:

(8x^2 + 3x) – (12x^2 - 1)

Distribute the minus sign

8x^2+3x-12x^2+1

Combine like terms

-4x^2+3x+1

This is a quadratic since the highest power of x is 2

This is a trinomial since there are 3 terms

Define function below -5.25 and 10 equals 1+1.7 514 = 23431. Read the post I turned on the light by design

please help me !! :)

Answers

I’m not one hundred percent but I think it’s C

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!

Answers

Answer:

(-5,2)

Step-by-step explanation:

Answer:

(5 , 2)

Step-by-step explanation:

F(-5 , 2)

After reflection F'(5 , 2)

The rule for reflection over y-axis is

Original point(x , y)   :  After reflection:  (-x,y)

x-coordinate will change its sign and y-coordinate remains same

can you help me please.

Answers

45 is the answer
hope this helps :)

Answer:

45

Step-by-step explanation:

1st term is 2

2nd term is 3

3rd term is 4

.

.

.

nth term is (n+1)

because common difference is 1, so 1st term = 1 + common difference = 1+1 = 2, for any term, we take n + common difference, so n+1

putting n = 44,

44th term is 44+1 = 45

Answered by GAUTHMATH

In triangle ABC, AC=13, BC=84, and AB=85. Find the measure of angle C

Answers

Answer:

90°

Step-by-step explanation:

Angle C = arccos((84²+13²-85²)/(2×84×13))

= arccos(0/2184)

= arccos(0)

= 90°

Answered by GAUTHMATH

need help with this!!!

Answers

Answer:

It's D I sure about it correspond means identical... The matching number

Put the following equation below in function notation and evaluate, using x as the independent
variable.
3x + 5y = 15; x=2

Answers

Answer:

1st option

Step-by-step explanation:

3×2+5y=15

5y=15-6

y=9/5

Answered by GAUTHMATH

Heyyyy
Here it is
Hope it helps

One of the lengths of a leg on a right angled triangle is 15 ft the length of the hypotenuse is 17 ft find the length of the other leg

Answers

The length of the other leg should be 8ft

Find the length of side x in simplest radical form with a rational denominator.
4.
609
30°
x
C
Answer: <=
Submit Answer

attempt 1 out of
I really need help with this

Answers

Answer:

x=2

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp/ hyp

sin 30 = x/4

4 sin 30 =x

4 ( 1/2) =x

2 =x

the perimeter The area of squre Plat is 100 m² Find at the plot o a​

Answers

Answer:

perimeter=40m

Step-by-step explanation:

PERIMETER=(AREA ROOT)*4

                   =10*4=40m

Evaluate the expression when x=-6.
x^2-9x+4

Answers

Answer:

- 14

Step-by-step explanation:

x = - 6

x^2 - 9x + 4

= ( - 6 )^2 - 9 ( - 6 ) + 4

= 36 + 54 - 4

= 36 - 50

= - 14

Answer:

[tex]94[/tex]

Step-by-step explanation:

[tex]x^2 - 9x + 4[/tex]

[tex](−6 {)}^{2} −9 (−6) + 4[/tex]

[tex]36 − 9 (−6) + 4[/tex]

[tex]36 + 54 + 4[/tex]

[tex]90+4[/tex]

[tex]94[/tex]

Hope it is helpful....

Angles A and B are complementary. The measure of angle A
is yº. What is the measure of angle B?

Answers

Answer:

D, [tex](90-y)[/tex] degrees

Step-by-step explanation:

Complementary angles are angles that add up to 90 degrees. Since angle A and angle B are complementary, they add up to 90. Since the value of angle A is y degrees, we can substitute y into the equation to get

[tex]y+B=90[/tex]

To get the measure of angle B, we must isolate B.

To isolate B, we have to remove every term from its side.

The only term on the side that B is on other than B is y. To remove y from the left side, we must subtract y from both sides. Doing this will result in the equation:

[tex]B=90-y[/tex]

The only answer option that meets this criteria is D.

On a coordinate plane, a parabola opens up. Solid circles appear on the parabola at (negative 4, 14), (negative 3, 9.5), (negative 2, 6), (0, 2), (1, 1.5), (2, 2), (4, 6), (5, 9.5), (6, 14).
Which is the rate of change for the interval between 2 and 6 on the x-axis?

Answers

Answer:

Step-by-step explanation:

The rate of change for the interval between x = 2 and x = 6 is simply asking you for the slope of the line that connects these 2 coordinates. If you were in calculus, you could find the instantaneous slope at any point on this parabola, but you're not quite that lucky yet, so we will go about it the only way we can:

by finding the slope. Remember, that slope is the same thing as rate of change.

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] and filling in:

[tex]m=\frac{14-2}{6-2}=\frac{12}{4}=3[/tex]

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