Which system of linear inequalities is graphed?
x ≤ -2
y≤ -x-3
x< -3
y< -x-2
x<-2
y≤ -x+2\
x< -2
y≤-x -2
Answers
The system of linear inequalities is graphed is x < -2; y ≤ -x+2. Hence option c is the correct.
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.
The graph consists of two inequalities.
Since the one graph line is solid, thus the inequality sign either "less than or equal" or "greater than or equal". The other one is dotted, thus it will be less than or greater than
First find the equation of line.
One line passes through the points (-2,0) and (0,-2).
The equation of line that passes through the point (a,0) and (0,b) is
x/a + y/b = 1
The equation of the line is x/(-2) + y/(-2) =1
x + y = -2
y = -x - 2
The equation of the inequality will be either y ≤ -x - 2 or y ≥ -x - 2.
Putting x =0 and y = 0 in y ≤ -x - 2
0 ≤ - 0 -2
0≤ -2 (false)
In the graph (0,0) does not include in the shaded region. Therefore the inequality is y ≤ -x - 2.
The second line is parallel to y-axis.
The equation of line will be x = a
The line passes through the point (-2,0)
Putting x = -2 and y =0 in x = a
-2 = a
Therefore the equation of the dotted line will be x = -2
The equation of the inequality will be either x > -2 and x < -2:
Putting x =0 and y = 0 in x < -2
0 < -2
0 < -2 (false)
In the graph (0,0) does not include in the shaded region. Therefore the inequality is x < -2.
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Related Questions
two positive intergers have a product of 50 one interger is twice the other . what are the intergers
Answers
Answer:
10 and 5.
Step-by-step explanation:
Let the integers be x and y.
xy = 50
x = 2y
Put x as 2y in the first equation.
(2y)y = 50
2y² = 50
y² = 50/2
y² = 25
y = √25
y = 5
Put y as 5 in the second equation.
x = 2(5)
x = 10
Which set could represent P?
Answers
320÷÷((11−9)32(11−9)32) x 8 =
Answers
320÷((11−9)32(11−9)32) x 8
320÷((352-288)(352-288) x 8
320÷(64 x 64) x 8
320÷4096 x 8
0.078125 x 8
0.625
Answer:0.625
Please say which is the greater with formula. I will mark you brainlist.
Answers
Answer:
In the circle that you have marked 0 is greater
The distance on a map between Lake Village and Bay Cove is 12 inches. If 2 inches represents 16 miles, what is the actual distance between Lake Village and Bay Cove?
Group of answer choices
a.6
b.48
c.96
d.128
Answers
it will be 48 I believe good luck
can you help me out I’ll mark brain list .
Answers
Answer:
Linear-
nonlinear
Linear
Step-by-step explanation:
the second one is linear
the third one is linear
just re-covered this in advanced algebra II :)
hope this helps
If triangle LMN, the measure of angle L is 32. Angle M is a right angle. What is the measure of angle N in degrees?
Answers
Answer:
The measure of angle N is 58 degrees (58°).
Step-by-step explanation:
If angle M is a right angle, it means it measures 90 degrees (90°) since a right angle is always 90 degrees.
In a triangle, the sum of the angles is always 180 degrees (180°). So, we can find the measure of angle N by subtracting the measures of angles L and M from 180 degrees.
Angle L is given as 32 degrees (32°) and angle M is 90 degrees (90°).
Angle N = 180° - angle L - angle M
Angle N = 180° - 32° - 90°
Angle N = 58°
Therefore, the measure of angle N is 58 degrees (58°).
Answer:n= 58 degrees
Step-by-step explanation:
so all u do is 90 “right angle” minus 32 which is 58! Hope this helped!
..
6(3x+8)= -12 im confused on this
Answers
18x + 48 = -12
Subtract 48 to both sides
18x = -60
Divide by 18
X = -3.3333 repeating
Identify the property that justifies the work between Step 3 and Step 4.
Step 1: 19 < 4x - 5
Step 2:
19 + 5 < 4x - 5 + 5
Step 3: 24 < 4x
Step 4:
(1/4) * 24 < (1/4) * 4x
Step 5: 6 < x
Answers
The property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.
What is Inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 19 < 4x - 5
By the addition property, add 5 on both sides
19 + 5 < 4x - 5 + 5
24<4x
By Multiplication and division property, divide both sides by 4
(1/4)24<(1/4)4x
6<x
Hence, the property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.
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Need help please!!!!!
Answers
Answer:
Yes, it is false.
X=91° and y=42° what is z?
Answers
Here, we just need to add x and y and subtract it from 180.
x + y = 91 + 42 = 133.
180 - 133 = 47.
Hence, z = 47 degrees.
Answer:
47°
Step-by-step explanation:
straight line = 180° we remove the angles x and y and find z
180 - 91 - 42 =
47°
solve for r.
4(r+15)+4r=300
Answers
Answer:
r=30
Step-by-step explanation:
first expand:
4r+60+4r=300
8r+60=300
8r=300-60
8r=240
r=30
hope this works:)
Triangle ABC is reflected over the x-axis. Triangle ABC has points A (10, 2), B (9,5), and C
(6,4). What is the B' coordinate?
Answers
A reflection over a line l moves every point P of the plane to the point P ′ on the perpendicular from P to the line l and on the same distance from l .
If the line is the x -axis, a point P = ( p 1 p 2 ) moves to the point P ′ = ( p 1 , − p 2 ) .
The image of the triangle A B C is the triangle A ′ B ′ C ′ with B ′ = ( 9 , − 5 )
what is (1/2 + isqrt3/2)^5?
Answers
Answer:
\((\frac{1}{2}+\frac{\sqrt{3}}{2}i)^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
Step-by-step explanation:
Convert 1/2 + i√3/2 to rectangular form
\(\displaystyle z=a+bi=\frac{1}{2}+\frac{\sqrt{3}}{2}i\\\\r=\sqrt{a^2+b^2}=\sqrt{\biggr(\frac{1}{2}\biggr)^2+\biggr(\frac{\sqrt{3}}{2}\biggr)^2}=\sqrt{\frac{1}{4}+\frac{3}{4}}=\sqrt{1}=1\\\\\theta=\tan^{-1}\biggr(\frac{b}{a}\biggr)=\tan^{-1}\biggr(\frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}\biggr)=\tan^{-1}(\sqrt{3})=\frac{\pi}{3}\\\\z=\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\)
Use DeMoivre's Theorem
\(\displaystyle z^n=r^n(\cos(n\theta)+i\sin(n\theta))\\\\z^5=1^5\biggr(\cos\biggr(\frac{5\pi}{3}\biggr)+i\sin\biggr(\frac{5\pi}{3}\biggr)\biggr)\\\\z^5=\frac{1}{2}-\frac{\sqrt{3}}{2}i\)
if f(x)=
\( \sqrt{x} \)
and g(x)=x-9 then what is f(g(13))
Answers
Step-by-step explanation:
f(g(13)) = \(\sqrt{g(13)}\) =\(\sqrt{13-9}\)=\(\sqrt{4}\)=2
Assume you own a wood house in the country that is worth $200,000, using the
table below, what would be your annual premium to insure.
Annual Premium per $100 of coverage
Brick
Area
rating
City
0.39
Suburb 0.45
Rural
0.6
Steel
|Mixed
Wood
Building Contents Building Contents Building
Contents
Building |
Contents
0.43
|05
054
0.55
0.52
0.56
0.63
0.72
0.69
0.71
0.8
0.89
0.65
0.74
0.91
0.66
0.76
0.83
0.85
1
1.02
• $1,320
• $1,660
• $2,000
О $2,500
Answers
Based on the table, the annual premium for a wood house in a rural area would be $2,000.
Solve For The Missing Variable In Each Figure. Give Exact Values.
Answers
Answer:
X= 10 I think
Step-by-step explanation:
Graph the line with slope -3 passing through the point (1,-5)
Answers
The equation of the line in the standard form exists 3x - y = 2.
What is the equation of a line?The equation of a line is a representation of a line on an x-y plane that illustrates the relationship between x and y for each point on the specific line. When x and y are variables and a, b, and c are constants, a line has the standard form ax + by = c.
Y = mx + b is the slope-intercept form of a line, where x and y are variables, m is the line's slope, and b is the line's y-intercept.
The one-point formula reads: y - y₁ = m(x - x₁). to describe the equation of a line traveling through the point (x1, y1) and having a slope of m.
We are asked to graph a line with a slope = -3, passing through the point (1, -5).
We use the one-point formula to determine the equation of this line, with slope m = -3, (x₁, y₁) = (1, -5).
Substituting these values in the equation y - y₁ = m(x - x₁), we get
Let the equation be y - -5 = -3(x - 1)
simplifying the equation, we get
y = -3x + 3 - 5
y = -3x - 2
3x - y = 2
The equation of the line in the slope-intercept form exists y = -3x - 2
The equation of the line in the standard form exists 3x - y = 2.
We draw the locations (1,-5) (because it is obvious that the line goes through this location) and (0, 2) (since the y-intercept is at 2 and the line passes through the point (0, 2)) in order to graph this line. We draw a line connecting these places, then we expand it on both sides to create the necessary line.
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A number is divisible by 10 if and only if it is divisible by 2
true or false? plz helppp
Answers
Answer:
false
Step-by-step explanation:
Tiffany quiz grades on 1st 4 quizzes are 72,87,83,90
Answers
Answer:
90
Step-by-step explanation:
72 is the least and 90 is the greatest
87 is the second most greatest and 83 is the third most.
Therefore the answer is 90
The velocity function of a car is given by v(t) = -3t^2 + 18t + 9 m/s. Find the acceleration of the car three seconds before it comes to a stop.
A. a = -6.46 m/s²
B. a = -2.76 m/s²
C. a = -0.46 m/s²
D. a = 2.76 m/s²
Answers
The acceleration of the car three seconds before it comes to a stop is 0m/s²
Given the velocity function expressed as v(t) = -3t^2 + 18t + 9
Acceleration is the change in velocity of a body with respect to time.
a(t) = dv/dt
Differentiating the velocity with respect to time will give;
dv/dt = -6t + 18
a = -6t + 18
a = -3(6) + 18
a = -18 + 18
a = 0m/s²
Hence the acceleration of the car three seconds before it comes to a stop is 0m/s²
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Studies are often done by pharmaceutical companies to determine the effectiveness of a treatment program. Suppose that a new AIDS antibody drug is currently under study. It is given to patients once the AIDS symptoms have revealed themselves. Of interest is the average length of time, in months, patients live once starting the treatment. Two researchers each follow a different set of 50 AIDS patients from the start of treatment until their deaths.
a. What is the population of this study?
b. List two reasons why the data may differ.
c. Can you tell if one researcher is correct and the other one is incorrect? Why?
d. Would you expect the data to be identical? Why or why not?
e. If the first researcher collected her data by randomly selecting 40 states, then selecting 1 person from each of those states. What sampling method is that?
f. If the second researcher collected his data by choosing 40 patients he knew. What sampling method would that researcher have used? What concerns would you have about this data set, based upon the data collection method?
Answers
The correct answers are:
a. The population of this study is all AIDS patients with revealed symptoms receiving the new AIDS antibody drug.b. Two reasons for potential data differences are variability in patients' health and treatment initiation times.c. Determining correctness between researchers is not possible based solely on data as multiple factors can influence outcomes.d. The data may not be identical due to variations in patients, treatment responses, and data collection methods.e. The first researcher used stratified and simple random sampling by selecting 40 states and one person from each state.f. The second researcher used convenience sampling, which may introduce bias and limit the representativeness of the data set.The explanation for each response can be given as:
a. The population of this study would be all AIDS patients who have revealed symptoms and are receiving the new AIDS antibody drug.
b. Two reasons why the data may differ are:
1. Variability in the patient's overall health and response to the treatment.
2. Differences in the time of diagnosis and initiation of treatment among the patients.
c. It is not possible to determine if one researcher is correct and the other is incorrect solely based on the collected data. Multiple factors, such as the patient's individual characteristics and treatment protocols, could influence the outcomes.
d. The data may not be identical because each researcher is following a different set of patients, and individual patient experiences and outcomes can vary. Additionally, differences in data collection methods or other external factors could contribute to variations.
e. The sampling method used by the first researcher, randomly selecting \(40\) states and then selecting one person from each state, is a combination of stratified sampling (based on states) and simple random sampling (within each state).
f. The second researcher used a non-random sampling method by choosing \(40\) patients they knew. This method is known as convenience sampling. Concerns regarding this data set include potential bias in patient selection, as the researcher's personal knowledge could introduce subjectivity and may not represent a diverse range of patients receiving the treatment.
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What is the volume of the cylinder shown below?
Answers
There is no diagram tho
Answer:
V=1008π units³
Step-by-step explanation:
don’t know what cylendier your talking about but if its the picture below then that’s the answer
Makesha lost 58.5 pounds in 18 weeks. Find her rate of loss in pounds per week.
Answers
lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
Answers
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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show that a) cos3∅=cos²∅-3cos∅sin²∅
Answers
The correct proof of the equation is cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
Solving trigonometry identity
Given the trigonometry identity below:
cos3∅=cos²∅-3cos∅sin²∅
We are to prove that both sides of the equation are equal.
cos 3θ = cos(2θ + θ)
Using the double angle formula for cosine, we can expand the first term:
cos(2θ + θ) = cos2θ cos θ - sin2θ sinθ
Since cos2θ = cos²θ - sin²θ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsinθsinθ
cos(2θ + θ) = cos²θ - sin²θ - 2cosθsin²θ
On simplifying, we can see that;
cos3θ =cos(2θ + θ) = cos²θ - 3cosθsin²θ (Proved)
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Which of the following pairs show(s) two congruent triangles?
O B only
OB and C only
O A, B, and C
O A and C only
Answers
Answer:
B only
Step-by-step explanation:
Triangles A and C are similar, but not congruent to each other. Similar triangles have proportional sides and congruent angles, while congruent triangles have congruent sides and congruent angles.
Therefore, only B is correct
The question is asking for pairs of congruent triangles but lacks key information needed to accurately answer this, such as lengths or angles. Congruent triangles are identified in geometry based on either side-lengths or angles.
Explanation:The question is about congruent triangles, which in mathematics means triangles that have the same size and shape. But to accurately answer which pairs show two congruent triangles, we need more information. The options provided include 'A', 'B', and 'C' but without knowing more about these elements (for example their lengths or angles), it is impossible to determine which are congruent. Congruent triangles are identified in geometry based on either side lengths (SSS: Side-Side-Side, SAS: Side-Angle-Side, ASA: Angle-Side-Angle) or angles (AAS: Angle-Angle-Side, HL: Hypotenuse-Leg for right triangles). Without this vital information, we cannot definitively answer the question. Be sure to verify all the properties required to prove two triangles congruent.
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Airlines have increasingly outsourced the maintenance of their planes to other companies. A concern voiced by critics is that the maintenance may be less carefully done so that outsourcing creates a safety hazard. In addition, flight delays are often due to maintenance problems, so one might look at government data on percent of major maintenance outsourced and percent of flight delays blamed on the airline to determine if these concerns are justified. This was done, and data from 2005 and 2006 appeared to justify the concerns of the critics. Do more recent data still support the concerns of the critics? Here are data from 2014:
Alaska 51.051.0 10.3510.35 Jet Blue 68.468.4 19.9319.93
American 29.429.4 20.3220.32 Southwest 58.258.2 28.4728.47
Delta 36.736.7 14.4814.48 United 52.652.6 23.4623.46
Frontier 46.346.3 21.4221.42 US Airways 54.354.3 13.6813.68
Hawaiian 78.478.4 5.065.06
Required:
a. Make a scatterplot with outsourcing percent as xx and delay percent as y.
b. Find the correlation r with and without Hawaiian Airlines.
Answers
Answer:
Please check attachment for graph
Step-by-step explanation:
B. With hawaii airline = -0.300
Without hawaii airline = 0.197
With hawaii airline
EX = 475.3
EY = 157.17
XY = 8042.11
X² = 26883.55
Y² = 3159.375
The correlation coefficient
= 72378.99-74702.9/7737.421
= -2323.91/7737.421
= -0.300
Without hawaii airline
EX = 396.9
EY = 152.11
EXY = 7645.406
X² = 20736.99
Y² = 3133.772
= 790.789/4021.161
= 0.197
Maybe a little help.
Answers
Answer:
180 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
After driving for 4 hours Nancy discovered that she had driven 362 miles. How fast was Nancy driving?
Answers
Given:
The number of hours Nancy drove = 4 hrs
The distance that she traveled = 362 miles
The word 'fast' speaks of speed. Speed is the rate at which something moves. Mathematically, it is the distance covered divided by time.
\(\text{speed = }\frac{distance\text{ }}{time}\)Substituting the given values into the formula above:
\(\begin{gathered} \text{speed = }\frac{362\text{ miles}}{4\text{ hrs}} \\ =\text{ 90.5 miles /hr} \end{gathered}\)Hence, Nancy's speed was 90.5 miles/hr
Answer: 90.5 miles/hr