Given:
Three times the square of a number is greater than a second number.
The square of the second number increased by 6 is greater than the first number.
To find:
The system of inequalities represents these criteria.
Solution:
Let the first number be x and the second number be y.
Three times the square of a number is greater than a second number.
[tex]3\times x^2>y[/tex]
[tex]3x^2>y[/tex] ...(i)
The square of the second number increased by 6 is greater than the first number.
[tex]y^2+6>x[/tex] ...(ii)
Therefore, the system of inequalities represents these criteria has inequalities [tex]3x^2>y[/tex] and [tex]y^2+6>x[/tex], where x is first number and y is second number.
The system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].
Let us take the numbers as x and y respectively.
First number = x
Second number = y
What is inequality?
Inequality is the relationship between two expressions that are not equal to one another.
Three times the square of the first number is greater than a second number:
This means, [tex]3x^{2} > y[/tex]
The square of the second number increased by 6 is greater than the first number:
This means, [tex]y^{2} +6 > x[/tex]
Therefore, the system of inequalities represents given criteria are [tex]3x^{2} > y[/tex] and [tex]y^{2} +6 > x[/tex].
To get more about inequalities visit:
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what is the least common multiple of 3 and 21 please help quickly
Answer:
21
Step-by-step explanation:
Answer: LCM(3,21) = 21
Step-by-step explanation: Least common multiple or lowest common denominator can be calculated in two ways, with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
NEED HELP ASAPP!!!!!!!!!!!!!!!
Answer:
fhsvbhbbsbsjkbjk
Step-by-step explanation:
i cant see its blurry
help! Easy question and i will give brainliest
60 x 0.0004
pls show ur work
What is the integral of sin(x)^-1?
Answer:
square root of (1-x^2) + C
Step-by-step explanation:
Use integration by parts...
Copy ofJIM 821 Projecting and sudi
carla Shumake
1.3: Scaled Rectangles 1
Here is a picture of Rectangle R, which has been
evenly divided into smaller rectangles. Two of the
smaller rectangles are labeled B and C.
Is B a scaled copy of R? If so, what is the scale factor?
Rectangle R
Yes
No
B
US
06:35
If -4 is a solution of the equation f(x) = 2, which must be the coordinates of a point on the graph of f?
(4,-2)
0 (-2,4)
O (2,-4)
O (-4, 2)
The coordinates of the point on the graph of is (-4,2).
What is a function?A function is defined as the relationship between input and output, where each input has exactly one output. The inputs are the elements in the domain and the outputs are elements in the co-domain.
If -4 is a solution of the equation f(x) = 2,
When giving the input as -4 the output will be 2.
Thus these can be written in ordered pair as (-4,2).
Hence, the coordinates of the point on the graph of is (-4,2).
Learn more about functions here:
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For the function f(x)=−3x+2, find f(−4).
Answer:
f(-4) = 14
Step-by-step explanation:
f(-4) = -3(-4) + 2
f(-4) = 12 + 2
f(-4) = 14
A lemonade recipe cells for 1/4 cup of lemon juice for every cup of water.
What is the constant of proportionality?
Answer:
1 to 4
Step-by-step explanation:
for each 1/4 cup of lemonade, you add four 1/4 cups of water
Tom went to purchase a new video game. The original price was $60, but it is his lucky day, and it is on sale for $32. What percent is the original price marked down? 18.75% 87.5% 46.67% 53.33%
Answer:
46.67%
Step-by-step explanation:
60÷100=0.60 , 1%=0.60 , 0.1%=0.06 , 0.01%=0.006
60-32=28
28÷0.6=46 46%=27.6 , 0.67%=0.4 27.6+0.4=28 46+0.67=46.67%
Hey guys, I need help with this algebra assignment. Any answers will help! I’d be happy to give you brainliest for whoever helps me. Also please show your work, Problems are in the pictures :)
Answer:
1. The slope is -5x and the y-intercept is 4
2. The slope is 0 and the y-intercept is 4
3. The slope is -3x and the y-intercept is 2
i need help how is 5 + 5 + 5= 550
Answer:
Turn one of the plus signs into a 4, making it 545+5=550
Step-by-step explanation:
You are playing Rock, Paper, Scissors against a friend How many possible outcomes
are there between the two of you? What are they?
Answer:
6 possible outcomes
Step-by-step explanation:
rock,rock
rock, paper
rock, scissors
paper, paper
paper, scissors
scissors, scissors
Answer:
9
Step-by-step explanation:
Rock and Rock, Rock and Paper, Rock and Scissor, Paper and Paper, Paper and Rock, Paper and Scissor, Scissor and Rock, Sciccor and Paper, and finally Scissor and Scissors. I assume that you can have Rock and Paper as well as Paper and Rock because it is a different person.
sam walked 5 laps in 30 minutes his brother walked 3 laps in 30 m minutes what is the ratio of the nummber sam walks to the nummber his brother walkes
Answer:
5 : 3
Step-by-step explanation:
Given that :
SAM:
Walks 5 laps in 30 minutes
SAM'S BROTHER:
walks 3 laps in 30 minutes
Ratio of the number of laps Sam walks to that which is brother walks :
In 30 minutes the ratio of the number of laps walked by Sam to that of his brother is :
Sam's laps : brother's laps
5 : 3
Find A u B. Proof not needed
Answer:
D
Step-by-step explanation:
Write the expression:
"a number increased by twenty"
Answer:
x+20
Step-by-step explanation:
I dont know if this is correct but I'm pretty sure
Answer:
x+ 20
Step-by-step explanation:
In Buffalo, New York, the temperature was 20 degrees in the morning. By
6:00pm the temperature had dropped to 8 degrees below zero, what is
the difference between the highest and the lowest temperature? -28 28 12 -12 can someone tell me the answer.
Answer:
28
Step-by-step explanation:
In the morning, the temperature was 20 degrees
By 6pm, we have a drop to 8 degrees below 0, that will be -8
So the temperature difference will be;
20-(-8)
= 20 + 8 = 28
I need to show my work to solve this equation and get an inequality at the end please help im confused
Answer:
You need to make $21 a day
Step-by-step explanation:
12d=250: you want $250 total, and you charge $12 for every delivery (d)
Divide 250 by 12, which is 20.83333... so thats 21
4(x+3)-7_>x+3(x+1) solve the inequality
Answer:
Step-by-step explanation:
[tex]4(x+3)-7\geq x+3(x+1)\\4x + 12 - 7 \geq x+ 3x+ 3\\[/tex]
isolate x
[tex]4x + 5 \geq 4x+ 3\\5 - 3 \geq 4x - 4x\\2\geq 0[/tex]
since 2 is greater than 0, this is a true statement, meaning that for any x, the inequality is true. it is always true
x : (-∞, ∞)
Find the value of y for which the value of 8y+3 is 7 more than the value of 6yTom and Sam can finish a plowing job in two hours if they work toghether. Tom working alone can do the job in 7 hours. How long would it take Sam to finish the same job alone?
Answer:
19 ; 2.8 hours
Step-by-step explanation:
Find the value of y for which the value of 8y+3 is 7 more than the value of 6y
8y + 3 = 7 + 6y
8y - 6y = 7 - 4
2y = 3
y = 3/2
y = 1.5
Let
Tom's rate = x
Sam's rate = y
Rate = 1 / time
Hence,
x = 1/7
Rate when they work together = 1/2
Tom's rate + Sam's rate = 1/2
1/7 + y = 1/2
y = 1/2 - 1/7
y = (7 - 2) / 14
y = 5/14
Since, rate = 1/time
Time = 1/ rate
Sam's time = 1/ rate = 1/y = reciprocal of y
Sam's time = 14/5 = 2.8 hours
2.8 hours = 2 hours (0.8 * 60) = 2 hours 48 minutes
An angle measures 125.2° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
27.4 and 152.6
Step-by-step explanation:
Supplementary angles equal 180 degrees when placed together.
x+(x+125.2)=180
2x+125.2=180
2x=54.8
x=27.4
the angles are 27.4 and 152.6
which of these is correct unit for acceleration ?
Answer: meters per second squared
Step-by-step explanation: Acceleration is measured in meters per second squared, m/s 2. When you multiply a kilogram (mass unit) times a meter per second squared (acceleration unit) you get a kilogram-meter per second squared.
Can someone pls answer this asap- Scientific Notation- Iĺl give Brainlist
Answer: 0.06|C,0.01|M,1|Different|0.|
Step-by-step explanation:
Your welcome! </3
3/4(cos20+sin10)=sin^3 10+cos^3 20
Answer:
Its true
Step-by-step explanation:
Carmen measured her purple pen and found it was 14.724 cm long. What is the length of her purple pen rounded to the nearest hundredth?
Answer:
c
Step-by-step explanation:
Answer:
the answer is 14.73
Step-by-step explanation:
Answer and I will give you brainliest.
A cat can travel a distance of 32.5 meters in 13 seconds. What is the average speed of the cat to the nearest hundredth of a m/s? *
A 2.5 mph
B 0.4 mph
C 2.5 m/s
D 0.4 m/s
Answer:
C. 2.5 m/s
Explanation:
Speed can be defined as distance covered per unit time. Speed is a scalar quantity and as such it has magnitude but no direction.
Mathematically, speed is given by the equation;
[tex]Speed = \frac{distance}{time}[/tex]
[tex]S = \frac{d}{t}[/tex]
Given the following data;
Distance = 32.5m
Time = 13secs
Substituting into the above equation;
[tex]S = \frac{32.5}{13}[/tex]
Speed, S = 2.5m/s
A study of several cities shows a positive correlation between the percent of people
biking to work and the percent of people spending their vacation time at home.
Which statement is most likely true?
Correlation implies causation: therefore, vacationing at home makes people want to ride
their bike.
Correlation implies causation: therefore, bike riding makes people want to vacation at home.
Correlation does not imply causation: therefore the correlation is due to a third variable:
COSL of milk
Correlation does not imply correlation, therefore, the correlation is due to a third variable:
cost of gas.
Answer:
Correlation does not imply correlation, therefore, the correlation is due to a third variable:
cost of gas.
Step-by-step explanation:
Question 20
Using your equation from the previous question, find the measures of the two marked angles.
A
56° and 56°
B
40° and 40°
C
65° and 115°
D
75° and 105°
Diana is comparing the membership costs at two fitness centers. The community fitness center costs $60 per month. The fitness center located where she works has a $100 registration fee and costs $40 per month. After how many months of membership will the costs be the same? 2 3 4 5
Answer:
The indifference point is 5 months.
Step-by-step explanation:
First, we need to structure the total cost formula for each fitness center:
Community center= 60x
Work center= 100 + 40x
x= number of months
Now, we equal the formulas and isolate x:
60x = 100 + 40x
20x = 100
x= 5
The indifference point is 5 months.
Answer: the answer is 5 or d
Write an equation and show your work: There were five different Foil Kites that each descend 50 feet per second for 5 seconds. Find the total change in altitude for all 5 kites.
Answer: Change in altitude = (50 x 5) feet
The total change in altitude for all 5 kites. = 250 feet
Step-by-step explanation:
Given : Rate of descent = 50 feet per second (speed)
Time = 5 seconds
Since, distance = speed x time
Change in altitude = Rate of descent x Time
Change in altitude = 50 x 5 feet [required equation]
= 250 feet
Hence, the total change in altitude for all 5 kites. = 250 feet
what does the side x represent
Answer:
It's the opposite.
Answer:
opposite
Step-by-step explanation:
x is opposite from the angle. 10 is adjacent from the angle.