Which ordered pairs make both inequalities true? Select two options.
y < 5x + 2
y ≥ 1/2x + 1
A. (-1,3)
B. (0,2)
C. (1,2)
D. (2,-1)
E. (2,2)
Answers
Explanation:
B. (0,2) and E (2,2) are the ordered pairings that allow both inequalities to hold.
What is inequality?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.
We can check which ordered pairs satisfy both inequalities by substituting the x and y values into each inequality and checking if they are both true.
Let's check each option:
A. (-1,3)
The first inequality gives us 3 < 5(-1) + 2, which simplifies to 3 < -3. This is false, so (-1,3) does not satisfy the first inequality.
The second inequality gives us 3 ≥ 1/2(-1) + 1, which simplifies to 3 ≥ 1/2. This is true, so (-1,3) satisfies the second inequality.
B. (0,2)
The first inequality gives us 2 < 5(0) + 2, which simplifies to 2 < 2. This is false, so (0,2) does not satisfy the first inequality.
The second inequality gives us 2 ≥ 1/2(0) + 1, which simplifies to 2 ≥ 1. This is true, so (0,2) satisfies the second inequality.
C. (1,2)
The first inequality gives us 2 < 5(1) + 2, which simplifies to 2 < 7. This is true, so (1,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(1) + 1, which simplifies to 2 ≥ 3/2. This is true, so (1,2) satisfies the second inequality.
D. (2,-1)
The first inequality gives us -1 < 5(2) + 2, which simplifies to -1 < 12. This is true, so (2,-1) satisfies the first inequality.
The second inequality gives us -1 ≥ 1/2(2) + 1, which simplifies to -1 ≥ 2. This is false, so (2,-1) does not satisfy the second inequality.
E. (2,2)
The first inequality gives us 2 < 5(2) + 2, which simplifies to 2 < 12. This is true, so (2,2) satisfies the first inequality.
The second inequality gives us 2 ≥ 1/2(2) + 1, which simplifies to 2 ≥ 2. This is true, so (2,2) satisfies the second inequality.
Therefore, the ordered pairs that make both inequalities true are B. (0,2) and E. (2,2).
Learn more about inequalities here:
https://brainly.com/question/30231190
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Related Questions
Out of all the multiple choice which one is true for this diagram
Answers
b. gh is a perp. bisector .
A movie-theater employee notes an inverse relationship between the theater's popcorn sales and its nacho sales. On a given night, the theater makes $1,540 from popcorn sales and $1,330 from nacho sales. If on the next night the employees sell $1,672 of popcorn, how much is earned from nachos?
Answers
Using proportions, it is found that $1,225 is earned from nachos.
This question is solved by proportions, using a rule of three.The measures have an inverse relationship, hence line multiplication is applied instead of cross multiplication.When the theater makes $1,540 from popcorn sales, it makes $1,330 from nacho sales. How much is earned from nachos when $1,672 is earned from popcorn?The rule of three is:
$1,540 - $1,330
$1,672 - $x
Applying line multiplication:
[tex]1672x = 1540 \times 1330[/tex]
[tex]x = \frac{1540 \times 1330}{1672}[/tex]
[tex]x = 1225[/tex]
$1,225 is earned from nachos.
To learn more about proportions, you can take a look at https://brainly.com/question/24372153
show your solution 5x + 12 =42
Answers
Answer:
6
Step-by-step explanation:
5x+12=42
subtract 12
5x=30
divide by 5
x=6
Answer:
x = 6Step-by-step explanation:
5x + 12 = 42=> 5x = 42 - 12=> 5x = 30=> x = 6Conclusion:
Therefore, the answer is 'x = 6'.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
what is
[tex]f(x) = 2x - 3[/tex]
And
[tex]g(x) = 6 - x[/tex]
Answers
Answer:
Solution
Correct option is C)
(fog)(x)=f(g(x))=2(3x+2)−1=6x+4−1=6x+3=3(2x+1)
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answers
Answer:
6+4n
Step-by-step explanation:
2x - y = 1
3x + y = 9
Answers
Answer:s
Step-by-step explanation:
Answer:
x=2 y=3
Step-by-step explanation:
PLZ HELP DUE TODAY 100 POINTS AND BRAINLIEST
Write each expression using an exponent
1. 8 × 8 × 8 × 8 × 8 × 8 × 8
2. 4
Evaluate each expression
4. 9² 5. 99^1
6. 3,105^0 7. 22²
8. 2^7 9. 3^4
Answers
Answer:
1. 8^7
2. 2^2
Step-by-step explanation:
I am not sure about these
4. 6.32066568875585e+24
5. 1.0853858230617127e+182
6. Infinity
#1
8×8×8×8×8×8×8=8^7#2
4=2^2#3
9^5.99^19^5.99#4
3105^0.7.22^2278.2(484)134648.8#5
2^7.9.3^42^7.3^6Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?
Answers
The actual lenght will be 6 fee
The actual width will be 4 feet
The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
The perimeter of the floor is 20 feet
The area of the first floor that Jenna's that father built is 24ft²
Given the conversion factor 2inches = 1feet
1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:
12 inches = x
2inches = 1feet
_____________________________
2x = 12
x = 6 feet
Hence the actual lenght will be 6 feet
2) If the width of the entire first floor is 8 inches, the actual width is expressed as;
8 inches = x
2inches = 1feet
_____________________________
2x = 8
x = 4 feet
Hence the actual width will be 4 feet
3) Thee scale factor will be the ratio of the length to the width as shown:
Ratio = length/width
Ratio = 6/4
Ratio = 3/2
Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
4) The perimeter of the floor = 2(L + W)
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter of the floor is 20 feet
5) Area of the floor = length * width
Area of the floor = 6ft * 4ft
Area of the floow = 24ft²
Hence the area of the first floor that Jenna's that father built is 24ft²
Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849
Hellooo, is this simple graphing or do I have to like solve something
Answers
Answer:
Just graph the points
Step-by-step explanation:
no need to solve anything
use the slope formula to show work
Answers
Answer:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{10 - 4}{ - 6 - 3} = \frac{6}{ - 9} = - \frac{2}{3} [/tex]
1
Please Help
Find the area of a circle with radius,
r
= 87cm.
Give your answer rounded to 3 SF.
Answers
Area= 23778.71
Step-by-step explanation:
so, to repeat, the radius r of the circle is 87 cm.
the area of a circle is
pi×r²
so, in our case
A = pi×87² = pi×7569 = 23,778.7148... cm²
so, how to give this answer with only 3 significant figures ?
as you can see, there are already 5 figures before the decimal point.
3 attempts :
1. 3 significant figures after the decimal point : 23778.715 cm²
2. scientific notation with 3 SF : 2.38×10⁴ cm²
3. converting to m² (1m² = 10000cm²) : 2.38 m²
What is the distance between the points (5, 1) and (-3, -5)?
Answers
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Step-by-step explanation:
It’s dividing by 2 each time.
Answer:
4 more rounds
Step-by-step explanation:
you will see there is a pattern which is dividing by 2
16/2=8
8/2=4
4/2=2
2/2=1
but since thats not an option i think it would be 8 dont ask its would be eight if not 4
The mass of Earth is 5.97x10^24 kg and the mass of Moon in 7.35x10^22 kg. What is the total mass? Thank you in advance
Answers
Answer:
Total mass = 5.97 × 1024 kg + 7.35 × 1022 kg. = 604.35 × 1022 kg.
Step-by-step explanation:
WILL GIVE BRAINLIEST
Write the sentence below as an equation or inequality.
Craig has six less than half of the amount of dollars Bo has.
Group of answer choices
x
=
y
2
−
6
x
=
6
−
y
2
x
=
2
y
−
6
x
=
6
−
2
y
Answers
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c = b/2 - 6
Step-by-step explanation:
let 'b' = amount Bo has
let 'c' = amount Craig has
c = b/2 - 6
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Answers
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6.5
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. f (x) = x +12×2-x-1 is an example of rational function.
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Answers
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the answer to the first question is c. the second one is
2
\frac{x}{2}
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x/2
Step-by-step explanation:
Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:
10x-10=8x
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10x-10=8x
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CAN SOMEONE HELP ME PLEASE ASAP!?
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Answer:
1 inch : 50 miles
Step-by-step explanation:
550 miles / 11 inches = 50miles/inch
Every inch on the map represents 50 miles.
equals 50 miles, and we know that four 1.4s
equals one. so, using that information, we have
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3 quarters left. so we add the 8 quarter's and
the 3 quarter's, to get 11. and since each quarter
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find the quotient 3^15 / 3^3
Answers
Answer:
531441 OR 3¹² is the answer.
Step-by-step explanation:
3¹⁵/3³
=> 3¹⁵⁻³
=> 3¹²
=> 531441
Therefore, 531441 OR 3¹² is the answer.
Hoped this helped.
Can someone please help me I will mark brainliest please.
Answers
Answer:
GE = 8 inches
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, then
GE = 2 × GH = 2 × 4 = 8 inches
mathematics 8
.................................................plz helpp
Answers
Answer:
[tex]y\geq 18x+19y[/tex]
[tex]x+y\leq 13[/tex]
Step-by-step explanation:
Hope this helped! :)
Plz answer I will make brainiest plzzz I need right answer ASAP!!!!!
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Answer:
its 6 square feet
s = 1
1^2 = 1
6 x 1 = 6
the 200$ camera was on sale 15% off what was the price
Answers
15% off 100 is $15 x2 is 30
Answer:
$170
Step-by-step explanation:
Hurry answer plsss I'll give brainlest
Answers
Answer:
2.32x10^-11
here ya go luv <3
what is the volume of this prism
Answers
Answer: 44?
I think. I am not sure
please explain for brainlist
A town has approximately 1000 homes. The town council is considering plans for future development. Plan A calls for an increase of 200 homes per year. Plan B calls for a 10% increase each year. Write a function to model each plan and determine the number of homes each plan has after 3 years.
Answers
Answer:
Plan A: 1600 homes after 3 years Plan B: 1330 homes after 3 years
Step-by-step explanation:
Plan A.
200x3=600
1000+600=1600
1600 homes after 3 years
Plan B.
10% the first year =100 homes increased
10% the secound year = 110 homes increased
10% the third year = 121 homes increased
1330 homes after 3 years
It would be 1330 for plan B. And plan a 1600.