Which ordered pairs are solutions to the inequality x+3y≥−8?
Select each correct answer.
Answers
Let x ≥ -5 And y ≥ -1 , Then:
(-5) + 3(-1) ≥ -8 . The solution is (-5 , -1)
Answer:
A. [tex](-1,-2)[/tex]
D. [tex](-6,0)[/tex]
E. [tex](-5,-1)[/tex]
Step-by-step explanation:
We have been given an inequality [tex]x+3y\geq -8[/tex]. We are asked to find the ordered pairs that are solution to the given inequality.
Let us check each ordered pair by substituting in the given inequality.
A. [tex](-1,-2)[/tex]
[tex]-1+3(-2)\geq -8[/tex]
[tex]-1-6\geq -8[/tex]
[tex]-7\geq -8[/tex]
Since the given inequality holds true, therefore, ordered pair [tex](-1,-2)[/tex] is a solution for the inequality.
B. [tex](-16,2)[/tex]
[tex]-16+3(2)\geq -8[/tex]
[tex]-16+6\geq -8[/tex]
[tex]-10\geq -8[/tex]
Since the given inequality is not true, therefore, ordered pair [tex](-16,2)[/tex] is not solution for the inequality.
C. [tex](0,-3)[/tex]
[tex]0+3(-3)\geq -8[/tex]
[tex]0-9\geq -8[/tex]
[tex]-9\geq -8[/tex]
Since the given inequality is not true, therefore, ordered pair [tex](0,-3)[/tex] is not solution for the inequality.
D. [tex](-6,0)[/tex]
[tex]-6+3(0)\geq -8[/tex]
[tex]-6+0\geq -8[/tex]
[tex]-6\geq -8[/tex]
Since the given inequality holds true, therefore, ordered pair [tex](-6,0)[/tex] is a solution for the inequality.
E. [tex](-5,-1)[/tex]
[tex]-5+3(-1)\geq -8[/tex]
[tex]-5-3\geq -8[/tex]
[tex]-8\geq -8[/tex]
Since the given inequality holds true, therefore, ordered pair [tex](-5,-1)[/tex] is a solution for the inequality.
Related Questions
kayla wrote a three-digit number.the value of the digit in the hundreds place is 6 hundreds. the digit in the tens place is 3 less than the digit in the hundreds place. sum of all three digital is 12.what is kayla number?
Answers
6 is the hundreds place
3 is the number that is 3 less than the hundreds number (6)
6+3=9
12-9=3
3 is your last digit
i hope you understood
1.Find the coordinates of the midpoint of __ given that H (-1,3) and X (7,1).
HX
A.(3,1)
B (0,4)
C(-3,1)
D(-4,0)
2. Find the distance between the points R(0,5) and S(12,3). round the answer to the nearest tenth.
A 10.4
B 16
C 12.2
D 11.8
3. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85) what is the shortest possible distance for the trip?
A. 165 units
B. 170 units
C. 97 units
D. 169 units
Answers
Answer:
1. (3, 2)
2. Option C. 12.2
3. Option A. 165 units
Step-by-step explanation:
1. The midpoint of two coordinates (x₁, x₂) and (y₁, y₂) is calculate by,
[tex](x, y) = (\frac{x_{1} + x_{2}}{2},\frac{y_{1} + y_{2}}{2})[/tex]
⇒[tex](x, y) = (\frac{-1 + 7}{2},\frac{3 + 1}{2})[/tex]
Thus (x, y) = (3, 2)
Hence, none of given options are true.
2. The distance between two coordinates is calculate by,
[tex]Distance=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
⇒ Distance = 12.16 ≈ 12.2 unit
Hence, option (C) is correct.
3. The distance between T(80, 20) and V(110, 85) is comparatively smaller than T(80, 20) and U(20, 60).
Using the Distance formula,
[tex]Distance=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2[/tex]
Distance between T(80, 20) and V(110, 85) is 71.59 unit
and Distance between U(20, 60) and V(110, 85) is 93.41 unit
So, Airplane firstly go to point V from point T and then point U.
Total shortest distance = 71.60 + 93.40 = 165 unit.
Hence, option (A) is correct.
The domain for f(x) and g(x) is the set of all real numbers. let f(x) = 3x + 5 and g(x) = x2. find g(x) − f(x). x2 − 3x − 5 3x3 − 5x2 3x2 − 5 x3 − 5
Answers
g (x)=x^2
g (x)-f (x)=(x^2)-(3x+5)
=x^2-3x-5
A miner descended 1500 feet into a mine. While in the mine, he then rose 1200 feet and then descended 850 feet. What was the miner's net gain or loss in altitude?
Answers
Then add the numbers.
A miner descended 1500 feet into a mine.
-1500 ft
he then rose 1200 feet
+1200 ft
then descended 850 feet
-850 ft
Now add the three numbers:
-1500 ft + 1200 ft + (- 850 ft) = -1150 ft
Since the sum is a negative number, that means
he had a net loss in altitude of 1150 ft.
This number represents the number of times the base is used as a factor
Answers
The exponent is the number used in a power to represent the number of times the base is used as a power.
For example: 7^2. The number 2 is the exponent and it indicates that the number 7 (which is the base) is used two times as a factor, this is, 7^2 = 7 * 7.
Othe example: 4^6. The exponent 6 indicates that the base 4 is used 6 times as a factor => 4^6 = 4 * 4 * 4 * 4 * 4 * 4.
The area of a square garden is 98 meters squared. How long is the diagonal
Answers
Ken watches a marching band. He sees 2 rows of flute players. Six people are in each row. He sees 8 trombone players. How many flute or trombone players does Ken see
Answers
Eight trombone players.
20 total of flute and trombone players.
an air traffic controller is tracking two planes. To start, playing a is at an altitude of 2814 ft and plan B is just taking off. Plan a is gaining altitude at 30.5 feet per second in playing day is gaining altitude at 80.75 feet per second. How many seconds will pass before the planes are on the same altitude
Answers
The initial altitude is the 'y-intercept'.
The rate of elevation is the slope.
Plane A: y = 30.5x + 2814
Plane B: y = 80.75x
The planes will be at same altitude when the y values are equal.
80.75x = 30.5x + 2814
Solve equation for 'x'.
80.75x - 30.5x = 2814
50.25x = 2814
x = (2814/50.25) = 56
Answer:
It will take 56 seconds before planes are at same altitude.
Answer:
56 seconds will pass.
Step-by-step explanation:
Because its right. :)
please give brainliest
What's the range of 37000 and 45000
Answers
Compare methods of solving linear equations and methods of solving linear inequalities. what do they have in common? what is different?
Answers
Consider the graph of f(x)=1/x. Which functions result in a vertical compression? Check all that apply.
a. g(x)=1/3x
b. g(x)=3/x
c. g(x)= - 3/x
d. g(x)= - 1/3x
Answers
Hope this helps!
Answer:
A & D
Step-by-step explanation:
If there were a million cars in line, bumper to bumper, with a average length of 10.14 feet, how long would that line be in miles? (Round to the nearest mile)
Answers
Hope this helps : )
What is "The sum of m and n"
Answers
If a production line produces 50 mouse traps every 30 minutes over the course of a 10-hour work day with a half hour break for lunch how many mouse traps are made in a day
Answers
100 traps/ 1 hr times 9.5 hrs = 950
10 hrs - half hr break (30 minutes) = 9.5 hrs of work
so if it is 100 mousetraps per hr...and the hrs worked are 9.5 hrs.....then the number of mousetraps produced are : 9.5 * 100 = 950 mouse traps <==
Find the roc of the volume of a cube with respect to the length of its side s
Answers
dV/ds = 3s^2.
The roc of the volume of a cube with respect to the length of its side s is 3s².
What is rate of change?
The rate of change of a function is the rate at which the output values change over the input value.
The rate of change of a function is one degree less than the actual function.
The volume of a cube is :
V = s³
The rate of change of volume V with respect to length a will be :
dV/ds = d(s³ )/ds
= 3s²
This means that, a cubic function will have a quadratic rate of change
Hence, The roc of the volume of a cube with respect to the length of its side s is 3s².
Read more about rate of change at:
brainly.com/question/8728504
#SPJ1
is (3,13) a solution of the equation y=4x
Answers
13 = 4(3)
13 = 12 ...not true
answer
(3,13) is not a solution of the equation y=4x
What number is 49 less than 78
Answers
Which equation has the same solution as 4-2(x-5)-x-19
Answers
The equation 3x - 4 = 2x + 7 has the same solution as 4 - 2(x - 5) = x - 19, with both solutions yielding x = 11.
Let's solve the equation step-by-step: 4 - 2(x - 5) = x - 19
First, expand the left side:4 - 2x + 10 = x - 19Combine like terms:
14 - 2x = x - 19Move all terms involving x to one side:
14 = 3x - 19Move constant terms to the other side:
33 = 3xSolve for x:
x = 11
Now, let's compare this solution to other given equations:
2(x + 5) = -82x + 10 = -8
2x = -18
x = -9 (Not a match)3(x - 3) = 9
3x - 9 = 9
3x = 18
x = 6 (Not a match)x + 2 = 2x - 3
2 = x - 3
x = 5 (Not a match)3x - 4 = 2x + 7
3x - 2x = 7 + 4
x = 11 (Match)
The equation with the same solution as 4 - 2(x - 5) = x - 19 is 3x - 4 = 2x + 7.
Complete question: Which equation has the same solution as 4 - 2(x - 5) = x - 19?
2(x + 5) = -83(x - 3) = 9x + 2 = 2x - 33x - 4 = 2x + 7jackson made 15 calls in 20 minutes. how many calls per minute did he make
Answers
How are you doing?
In this case, your trying to find how many calls he makes per minute. So here we go! We know he made 15 calls in 20 minutes! Therefore, we must divide to find the unit number, which basically is "Numbers Simplified."
[tex]15 / 20=0.75[/tex]
That means he makes 0.75th of a call in 1 minute.
the table shows the low temperature in five cities on a winter day. which statement is true
A. it is warmer in Tacoma than in Roseville
B. it is colder in Roseville Than in Helena
C. It is warmer in Helena than in Fargo
D. it is colder in Tacoma than in Great Falls
Answers
Find the distance between points M(6,16) and Z(-1,14) to the nearest tenth.
Answers
Harrison mows lawns and rakes leaves for his summer and fall weekend jobs. He gets $10 an hour to mow lawns and $8 an hour to rake leaves. If, during September, Harrison mows for m hours and rakes for 12 hours, which expression represents the amount of money he makes? Harrison mows lawns for 11 hours, so m = 11. How much money does he make in September?
Answers
Answer:
first one is 10m+8(12)
second one is 206
Step-by-step explanation:
i took it alrr..
Solve P=2D+2C for D
Answers
Answer: D = (P - 2C)/2
Step-by-step explanation:
We want to solve P= 2D + 2C for D
This means "isolate D in one side of the equation"
The first step is subtracting 2C in the both sides of the equation:
P - 2C = 2D + 2C - 2C = 2D
P - 2C = 2D
Now, we want to take of the multiplication that is acting on D, so we divide in both sides by 2:
(P - 2C)/2 = (2D)/2 = D
Now we have D isolated, and this is:
D = (P - 2C)/2
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card
Answers
R = 100 - 4x
x= number of lunches bought
R= remaining money on the lunch card
Hope this helps!
A flea weighs 8 decigrams, and an ant weighs 3 milligrams. How much more does a flea weigh than an ant?
Answers
whilst a milligram is "milli" one thousandth of a gram, 1/1000 gram
now, the flea is 8 of those decigrams thus is 8 * (1/10) grams
the ant is 3 of those milligrams thus 3 * (1/1000) grams
let's find their difference.
[tex]\bf 8\left( \frac{1}{10} \right)\implies \cfrac{8}{10}\implies \stackrel{decigrams}{\cfrac{4}{5}} \\\\\\ 3\left( \frac{1}{1000} \right)\implies \stackrel{milligrams}{\cfrac{3}{1000}}\\\\ -------------------------------\\\\ \cfrac{4}{5}-\cfrac{3}{1000}\impliedby \textit{our LCD is 1000}\implies \cfrac{(200\cdot 4)-3}{1000}\implies \cfrac{800-3}{1000} \\\\\\ \cfrac{797}{1000}\implies 797\left( \frac{1}{1000} \right)\implies 797~milligrams[/tex]
Answer:
797 milligrams
Step-by-step explanation:
Hope this helps!
rachel's necklace cost 20% more than Tammy's shoes. Bryan' s video game cost 30% more than Rachel's necklace. If Tammy's shoes cost $30.00, what did Brian's video game cost?
Answers
30*20%=6
30+6=36
36*30%=10.80
36+10.80=46.80
hope this helps!
Answer:
46.80
Step-by-step explanation:
Pls brainly I need it so bad I spent 10 minutes of my time to solve this.
Suppose a and b are 3x3 matrices, with det(a) = 5 and det(b) = 3.
a. det(2a) = ? 4 pts
b. det((ab)-1) = ?
Answers
[tex]\det(\mathbf{AB})^{-1}=\dfrac1{\det\mathbf{AB}}=\dfrac1{\det\mathbf A\det\mathbf B}=\dfrac1{5\times3}=\dfrac1{15}[/tex]
Tim bought a pen for $2.25, a pencil for $0.59, a notebook for $6.49, and a highlighter for $1.49. He used a coupon that gave him $5.25 off his entire purchase. How much did he spend in total?
Answers
The mailman delivered a $22 check and 3 - $14 bills today. He also took back 1- $5 bill. What is the total in the mailbox?
Answers
42+22 is 64
64-5= 59
Mary having her living room and bedroom painted. Interior Designs USA charges $60.00 to evaluate the space plus $35.00 per hour of labor. Splash of Color charges $55.00 per hour with no initial fee. Which of the following are true? Select all that apply.
If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least.
Splash of Color will always charge the least.
If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective.
If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA.
If it takes 3 hours to paint the rooms, both companies will charge the same amount.
Answers
Answer:
The correct statements are 1, 3, and 5.
Explanation:
Let's calculate the total cost for each company based on the given information:
For Interior Designs USA:
- Evaluation fee: $60.00
- Labor cost per hour: $35.00
- Total labor cost for 7 hours: $35.00/hour × 7 hours = $245.00
- Total cost = Evaluation fee + Total labor cost = $60.00 + $245.00 = $305.00
For Splash of Color:
- Labor cost per hour: $55.00
- Total labor cost for 7 hours: $55.00/hour × 7 hours = $385.00
Now, let's analyze the statements:
1. If it takes 7 hours to paint the two rooms, Interior Designs USA will charge the least. - True. ($305.00 < $385.00)
2. Splash of Color will always charge the least. - False. In this case, Interior Designs USA charges less for 7 hours of work.
3. If it takes more than 5 hours to paint the rooms, Splash of Color will be more cost effective. - True. As we've seen, Splash of Color charges $55.00 per hour, while Interior Designs USA charges $35.00 per hour plus an initial fee.
4. If it takes 10 hours to paint the rooms, Splash of Color will charge $200 more than Interior Designs USA. - False. Let's calculate:
- Interior Designs USA: $60.00 (evaluation fee) + $35.00/hour × 10 hours = $60.00 + $350.00 = $410.00
- Splash of Color: $55.00/hour × 10 hours = $550.00
Splash of Color charges $550.00 - $410.00 = $140.00 more, not $200. Therefore, this statement is false.
5. If it takes 3 hours to paint the rooms, both companies will charge the same amount. - False. Let's calculate:
- Interior Designs USA: $60.00 (evaluation fee) + $35.00/hour × 3 hours = $60.00 + $105.00 = $165.00
- Splash of Color: $55.00/hour × 3 hours = $165.00
They both charge $165.00, so this statement is true.
So, the correct statements are 1, 3, and 5.