The system of inequalities in the graph represents the change in an account, y, depending on the days delinquent, x.
On a coordinate plane, 2 dashed straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 2) and (0, 0). Everything to the right of the line is shaded. The second line has a negative slope and goes through (negative 2, 2) and (0, 0). Everything to the left of the line is shaded.
Which symbol could be written in both circles in order to represent this system algebraically?
y Circle x
y Circle –x
≤
≥
<
>
Answers
The symbol ≤ could be written in both circles to represent this system algebraically.
Based on the given information, we have two dashed lines on the coordinate plane. The first line has a positive slope and goes through the points (-2, -2) and (0, 0). This line represents the inequality y ≥ x.
The second line has a negative slope and goes through the points (-2, 2) and (0, 0). This line represents the inequality y ≤ -x.
In order to represent this system of inequalities algebraically, we need to find a symbol that satisfies both inequalities. The symbol that can represent this is ≤ (less than or equal to). By using ≤, we can express the system of inequalities as follows:
y ≥ x
y ≤ -x
It's important to note that the choice of the symbol may vary depending on the conventions or context of the problem. In this case, ≤ is a suitable choice based on the given information.
For more questions on coordinate plane
https://brainly.com/question/29335845
#SPJ8
Related Questions
Help please Math is annoying.
Answers
Answer:
1
Step-by-step explanation:
so you want to input the numbers into variables so for (p+q)^2 you input p as 4 and q as 8 (4+8)^2 and then you add 4+8 which is 12. Then you have to do 12 to the power of 2 which is 12x12 and the answer to that is 144. For the bottom you input p as 4 and then for -2q you have to input the 8, -2(8) and that equals to -16 so then it's 4-16 so it equals to -12. Then you have to do -12 divided by 12 which equals to 1.
3. The system of equations for two liquid surge tanks in series is
A₁ dh'₁/dt = q'ᵢ - 1/R₁ h'₁, q'₁ = 1/R₁ h'₁
A₂ dh'₂/dt = 1/R₁ h'₁ - 1/R₂ h'₂ q'₂ = 1/R₂ h'₂
Using state-space notation, determine the matrices A,B,C, and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ , and the output variable is the flow rate deviation, q'₂.
Answers
The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.
surge tank: https://brainly.com/question/14143728
#SPJ11
The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n represent the number find the number
Answers
Answer:
n = 2 + (60/2)
Step-by-step explanation:
Factor 12+54. Write your answer in the form a(b+c) where a is the GCF of 12 and 54
Answers
For the answer of factors of expression (12 + 54), in the form of a(b + c), where a is the GCF of 12 and 54 is equals to 6( 2 + 9).
In math, to factor a number means to express it as a product of (other) whole numbers, called its factors. For example, if 7x5 = 35, 7 and 5 are both factors. The divisors that give the remainder to be 0 are the factors of the number. We have an expression of numbers, 12 + 54. We have to write this expression in form of a( b + c), where a is GCF of 12 and 54. Now, we can write the factors of 12 and 54 are 12 = 2×2×3
54 = 2×3 ×3×3
The greatest common factor, GCF of 12 and 54 is 2×3 = 6. So, 12 + 54 = 6× 2 + 6×9
Taking out the common factor 6 from above expression, 6( 2 + 9) which is required form a( b + c). Hence, required expression is 6( 2 + 9).
For more information about factor, visit :
https://brainly.com/question/28765863
#SPJ4
if 60% of a number is 90, what is 4/5 of the number
Answers
Answer:
120
Step-by-step explanation:
To solve this, we can first find the value of the number.
Let's name the number x.
We can set up a proportion to solve.
90/60=x/100
Simplify.
9/6=x/100
Cross multiply.
6x=900
Divide both sides by 6.
x=150
The original number is 150.
Let's find 4/5 of that.
4/5*150
Multiply.
600/5
Divide.
120
________________________________
Hey!!!
Solution,
Let the number be X
60% of X=90
or,60/100*X=90
or,3/5*X=90
or,X=90/3/5
or,X=90*5/3
or,X=450/3
X=150
Again,
4/5 of X
=4/5*150
=120
The answer is 120
hope it helps
Good luck on your assignment
_____________________________
A report states that the mean household income last year for a certain rural county was $46,200 and the median was $54,500. If a histogram were constructed for the incomes of all households in the county, would you expect it to be skewed to the right, to the left, or approximately symmetric
Answers
Answer:
skewed to the left
Step-by-step explanation:
A histogram is used to represent data graphically. the histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.
If the mean is greater than the median, the histogram would be skewed to the right
If the mean is less than the median, the histogram would be skewed to the left.
The mean in this question is $46,200 while the median is $54,500. So, the histogram would be skewed to the left
HELP ME OUT PLS MY COMPUTER IS ABOUT 2 DIE IN 1 MIN!!!!!!!!!!!
Two sixth grade science classes are making salt water solutions. The first class (Class A) is using a ratio of three parts salt to five parts water. The other class (Class B) is using a ratio of two parts salt to four parts water. Make an equivalent ratio table for each class to represent its solution. Each table should show at least three equivalent ratios. Make sure to indicate which ratio table belongs to which class.
Answers
Answer:
1: 6:10,9:15,12:20 2: 4:8, 6:12, and 8:16
Step-by-step explanation: To make an equivalent ratio you multiply each number by the same number (ex: 2:4 2*2= 4 and 4*2=8 so 2:8)
Answer:
Step-by-step explanation:
Salt-Water
Class A 3/5=y/x y=3/5x
Class B 2/4=y/x 1/2=y/x y=1/2 x
Jahier's Bikes rents bikes for $20.00 plus $5.00 per hour. Daniel paid $35.00 to rent a bike. For how
many hours did she rent the bike?
Answers
Answer: 3 Hours
Step-by-step explanation:
Daniel first paid for her bike, which was 20 dollars. Then she used it for 3 hours, because 20 dollars+5 dollars+5 dollars+5 dollars equals 35 dollars.
Hope this helps!
the point (1/6,0) is on the curve. find the value of (y−1)′(0) .
Answers
The value of (\(y^{(-1)\))′(0) for the given curve, with the point (1/6, 0) on it, is 1.
Given that the point (1/6, 0) lies on the curve, we can determine the value of (\(y^{(-1)\))′(0) by evaluating the derivative of the inverse function \(y^{(-1)\) at x = 0.
Since y(1/6) = 0, we can interpret this as the point (x, y) = (1/6, 0) on the original function.
To find the derivative of the inverse function, we swap the roles of x and y and differentiate implicitly:
x = \(y^{(-1)\)
Differentiating both sides with respect to y:
1 = (\(y^{(-1)\))′
Now, we evaluate this derivative at y = 0:
(\(y^{(-1)\))′(0) = 1
Therefore, the value of (\(y^{(-1)\))′(0) is 1.
Learn more about curves at
https://brainly.com/question/32581116
#SPJ4
a manufacturer knows that their items have a normally distributed lifespan, with a mean of 11.6 years, and standard deviation of 1.3 years. if you randomly purchase one item, what is the probability it will last longer than 14 years? round answer to three decimal places
Answers
If a manufacturer have a normally distributed lifespan, with a mean of 11.6 years, and standard deviation of 1.3 years, the probability that a randomly purchased item will last longer than 14 years is 0.966 or 96.6%.
We can use the standard normal distribution to calculate the probability that an item will last longer than 14 years. First, we need to calculate the z-score:
z = (14 - 11.6) / 1.3 = 1.846
Next, we can use a standard normal distribution table or a calculator to find the probability associated with a z-score of 1.846. Using a standard normal distribution table, we find that the probability is 0.9664.
To learn more about probability click on,
https://brainly.com/question/27911780
#SPJ4
As part of your exercise routine, you jog around the neighborhood block which is shaped like a right triangle. Your street, the hypotenuse of the triangle, is 850 feet long. If the total distance around your block is 2000 feet, what are the distances of the other two streets that enclose your block?
Answers
Answer:
The other distances are 400 ft and 750 ft.
Step-by-step explanation:
a + b + c = 2000
a + b + 850 = 2000
a + b = 1150 Equation 1
a^2 + b^2 = c^2
a^2 + b^2 = 850^2
a^2 + b^2 = 722,500 Equation 2
a + b = 1150
a^2 + b^2 = 722,500
a = 1150 - b
(1150 - b)^2 + b^2 = 722,500
1,322,500 - 2300b + b^2 + b^2 = 722,500
2b^2 - 2300b + 600,000 = 0
b^2 - 1150b + 300,000 = 0
\( x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} \)
\( x = \dfrac{-(-1150) \pm \sqrt{(-1150)^2 - 4(1)(300,000)}}{2(1)} \)
\( x = \dfrac{1150 \pm \sqrt{1,322,500 - 1,200,000}}{2} \)
\( x = \dfrac{1150 \pm \sqrt{122,500}}{2} \)
\(x = \dfrac{1150 \pm 350}{2}\)
\( x = \dfrac{1500}{2}~~~or~~~x = \dfrac{800}{2} \)
x = 750 or x = 400
Answer: The other distances are 400 ft and 750 ft.
an urn contains 8 white balls and 12 red balls. a sample of four balls is selected at random from the urn. what is the probability that the sample contains two white balls and two red ones? a) 0.3814 b) 0.3933 c) 0.0424 d) 0.1028 e) 0.1474 f) none of the above.
Answers
0.3814 is the probability that the sample contains two white balls and two red ones .
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events.The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.Total number of balls = 8 + 12 = 20
Total number of elementary cases
= ( 20 4 )
Total number of favourable cases
= ( 8 2 ) * ( 12 2 )
Required probability
= ( 8 2 ) * ( 12 2 )/( 20 4 )
= 0.3814
Learn more about probability
brainly.com/question/11234923
#SPJ4
You want to build a fence around your triangular pool. How many meters of fence will you need? If necessary, round t
the nearest tenth.
15 m
13 m
a.
b.
C.
d.
35.5 m
7.5 m
56 m
97.5 m
Answers
Answer:
35.5m
Explanation:
Find the diagram attached
First you need to get the missing side of the triangular pool using the pythagoras theorem;
Let the missing side be x
x² = 15² - 13²
x² = 225 - 169
x² = 56
x = √56
x = 7.48m
Amount of meter of fence needed is the perimeter of the triangular pool
perimeter of the triangular pool = 15 + 13 + 7.48
perimeter of the triangular pool = 35.48m
perimeter of the triangular pool = 35.5m
Hence the amount of meters of fence needed is 35.5m
How do I determine the correct y-intercept of a translation?
Answers
Answer:
Step-by-step explanation:
Answer:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).
Step-by-step explanation:
Hope this helps
Have a great day!
Pls help with the first one thank you
Answers
Answer:
1) 54 is the answer
2) The shape is cube
If l║m and m∠8 = 109°, what is m∠5?
Answers
you need to see all the measurements to know what m∠5 to get the answer.
Kenny uses 1/16 of the chocolate syrup bottle for 1 scoop of ice cream. How many scoops of ice cream has Kenny eaten if he has uses 2 3/4 of chocolate syrup
Answers
Kenny will use 2 3/4 chocolates syrup bottle to produce 44 scoops of ice cream.
Given data
for 1 scoop of ice-cream Kenny uses 1/16 of the chocolate syrup bottle
quantity of chocolates used = 2 3/4
let the scoops of ice-cream be x
this is represented mathematically as
1 = 1/16
x = 2 3/4
we cross multiply to have
x/16 = 2 3 /4
x = 44
Therefore Kenny will use 2 3/4 chocolates syrup bottle to produce 44 scoops of ice cream.
Read more on proportions here: https://brainly.com/question/19994681
#SPJ1
arge telescopes often have small fields of view. For example, the Hubble Space Telescope’s (HST’s) advanced camera has a field of view that is roughly square and about 0.06 degree on a side.
Calculate the angular area of the HST’s field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
Answers
The correct response is C. 0.0036 Square degrees The field of vision of the Hubble Space Telescope is only 0.006 degrees, which is around 100 times less than that of the Micro Observatory telescopes. But it has a 100 times better angular resolution!
Skywatchers can readily view planets with just a modest or medium-sized telescope. How much of our solar system is visible will wow you! Additionally, you don't need a completely dark sky to see all of the planets in our solar system; a telescope can still make Venus, Mars, Jupiter, and Saturn easily visible even when viewed in a city. From $100 to well over $10,000, a telescope can be purchased. In 2022, you can anticipate that a good telescope for visual observing will start around $300 and a telescope capable of deep-sky astrophotography would start around $800. With a 25x telescope, even the tiniest telescope should be able to see Saturn's rings.
To know more about telescopes here
https://brainly.com/question/1135506
#SPJ4
Large telescopes often have small fields of view. For example, the Hubble Space Telescope's (HST's) advanced camera has a field of view that is roughly square and about 0.06 degree on a side. Calculate the angular area of the HST's field of view in square degrees.
A. 0.006 Square degrees
B. 0.36 Square degrees
C. 0.0036 Square degrees
D. 0.06 Square degrees
MIK
chocolate
20%
Dark
chocolate
45%
White
chocolate
35%
A survey was conducted to determine people's chocolate preferences. The results are shown on the circle graph.
If 500 people were surveyed, how many more people preferred dark chocolate over milk chocolate?
-0)
A)115
B)125
C)135
D)150
Answers
Answer:
B; 125
Step-by-step explanation:
45% of 500 is 225. 20% of 500 is 100
225 - 100 = 125
Hope this helps :)
Answer:
B)125
Step-by-step explanation:
i'm just guessing since i don't know the answer. I hope it's right
please help me!!!!!!!!
Answers
Answer:
x = 9
Step-by-step explanation:
5x + 6 = 6x - 3
Simplify from there:
6x - 5x = 6 + 3
x = 9
Estimate the sum by rounding each number to the nearest ten.
33
46
88
+ 42
Answers
Answer:
30
50
90
+ 40
Step-by-step explanation:
Hope this helps u
Plss follow me and Mark as brainlest
Question 3
Select an industry from this table:
Industries
agriculture and mining
consumer electronics
manufacturing
financial services
Now create a sample business model to describe how you expect to make a profit
from this business. Include these topics in your answer:
• pricing
• marketing
location
•
hospitality and tourism
consumer services
energy and utilities
health, pharmaceuticals,
and biotech
• costs
• profit
Answers
I have chosen the consumer electronics industry for my sample business model.
Pricing: In the consumer electronics industry, pricing is highly competitive. To make a profit, I will need to price my products competitively while still covering my costs. I will do this by sourcing high-quality, affordable components and negotiating with suppliers to get the best possible prices.
Marketing: To attract customers, I will focus on marketing my products through targeted advertising on social media platforms, as well as through partnerships with influencers and tech bloggers. I will also offer regular promotions and discounts to incentivize purchases.
Location: In the consumer electronics industry, location is less important than online presence. Therefore, I will focus on building a strong online presence through a user-friendly website and active social media accounts.
Costs: My main costs will be the cost of goods sold (i.e., the cost of the components and manufacturing), as well as marketing and advertising costs. I will also need to factor in the cost of shipping and fulfillment.
Profit: My profit will come from the difference between the price I sell my products for and the costs associated with producing and selling those products. By sourcing affordable components and keeping my marketing costs low, I expect to make a healthy profit in the consumer electronics industry.
More extra information on writing sample business models can be obtained here: https://brainly.com/question/13397493
#SPJ11
Danielle rolled a number cube 40 times. The table shows the cumulative results of each roll. What is the relative frequency of rolling a 3? Select all that apply.
Answers
From the given results, we found that the relative frequency of rolling a 3 is 9/40.
What is the relative frequency?
The relative frequency is calculated as the ratio of the number of occurrences of a given value of the data in the set of all outcomes to the total number of outcomes. Frequency is a measure of how frequently an event happens. While not a theoretical concept, relative frequency is one that is currently being tested. The fact that it is experimental means that if we repeat the trials, we might get different relative frequencies. In order to compare the frequency of a specific event to all other occurrences, relative frequency is used.
The complete question is given below.
Number of times Danielle rolled a number cube = 40
We are asked to find the relative frequency of rolling a 3.
Relative frequency = frequency/ Total frequency
From the table,
Frequency of 3 = 9
Total frequency = 5 + 5+ 9 + 6 + 7 + 8 = 40
Then the relative frequency of 3 = 9/40
Therefore from the given results, we found that the relative frequency of rolling a 3 is 9/40.
To learn more about relative frequency, follow the link.
https://brainly.com/question/3857836
#SPJ1
The city library has 763,045 books.MWhat is the value of the digit 6 in this number, and how does it compare to the digit 3?
Answers
Answer:
6 is the ten thousand number
3 is the thousand number
6 is 20 times larger than 3
Step-by-step explanation:
5 = units
4 = tens
0 = hundred
3 = thousand
6 = ten thousand
7 = 100 thousand
comparison of the value of 6 to 3
60,000 / 3000 = 20 times
if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
Answers
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
Learn more about calories
brainly.com/question/22374134
#SPJ4
help me please i would really appreciate it!
Answers
54,675+33,548,000x+a=?
Answers
Answer:
33602675
Step-by-step explanation:
A taxi charges a flat rate of $7.50 plus an additional $0.35 per mile. If Aliana has at most $25 to spend on the cab ride, how far could she travel?
Answers
Answer : Aliana can go 50 miles with the 25 dollars she has
Step - by - step explanation :
First, you have to remove the flat rate from the 25 dollars ( since it's a secure amount )
What is 25 - 7.50 ? 17.50
Second, to find out how many miles she can go - we do 17.50 divided by 0.35 ( because it's 0.35 per mile ).
What is 17.50 divided by 0.35 ? 50
If 4 gallons of milk cost $16.24, how much would 7 gallon of milk cost
Answers
Answer:
$28.42
Step-by-step explanation:
First let's calculate the cost per gallon.
We can do this by simply dividing the cost of 4 gallons by 4
1 gallon of milk cost 16.24/4 = 4.06
We want to find the cost of 7 gallons.
We can easily do this by multiplying the cost of one gallon by 7
7 gallons of milk cost 7 * 4.06 = $28.42
The 100-meter dash times in the girls track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds. What is the probability that a runner finished between 12.4 and 14 seconds?
Answers
Answer:
The probability is 0.97682
Step-by-step explanation:
We start by finding the z-values of the runner times given.
Mathematically;
z-score = (x-mean)/SD
From the question, mean = 13 seconds and SD = 0.3 seconds
So for 12.4 seconds, we have;
z = (12.4-13)/0.3 = -0.6/0.3 = -2
For 14 seconds, we have;
z = (14-13)/0.3= 1/0.3 = 3.33
So the probability we want to calculate is;
P(-2<z<3.33)
We can find this using the standard normal distribution table
Mathematically;
P(-2<z<3.33) = P(z<3.33) - P(z < -2)
Using the standard normal distribution table, the value of this is;
P(-2<z<3.33) = 0.97682