How would i graph the solution set for 1/3x (greater than or equal to) y+2?
Answers
You’ll have to transform the equation into its slope-intercept form, y = mx + b, so that you could graph the line. Set y to “=“
1/3x = y + 2
Subtract 2 from both sides
1/3x -2 = y + 2- 2
1/3x - 2 = y or y = 1/3x - 2
Next, to graph the solid line, you need at least two points to plot. We can start with the y-intercept, (0, -2). Another point to use is the x-intercept. To solve for the x-intercept, (a, 0), set y = 0:
0 = 1/3x - 2
Add 2 on both sides:
0 + 2 = 1/3x - 2 + 2
2 = 1/3x
Multiply both sides by 3 to solve for x:
2(3) = (3) 1/3x
6 = x
Therefore, the x-intercept = (6,0).
Plot the intercepts on the graph and connect those two points to create line.
Next, to identify which half-plane region to shade, choose a convenient test point (not on the line) to see whether it part of the solution. We could use the point of origin, (0, 0). Substitute its values into the linear inequality:
1/3x ≥ y + 2
1/3(0) ≥ (0) + 2
0 ≥ 2 (false statement). Therefore, you must shade the half-plane region where it doesn’t contain the test point, (0, 0).
Attached is the graph where it shows that the shaded lower half-plane region.
Please mark my answers as the Brainliest if you find my explanations helpful :)
Related Questions
what is the area of the side of this house?
Answers
Answer:
25
Step-by-step explanation:
Answer choices
A) 0.16
B) 0.475
C. 0.84
D. 0.975
Answers
Answer:
I think it's B)
Step-by-step explanation:
You are an interior designer being hired to redecorate your client's bedroom and home office. You are confident that you can finish the job with 16 hours of labor and you're going to charge your client $400. What will be your hourly rate of pay?
A. $20
B. $22.50
C. $25
D. $18.50
Answers
Answer:
C
Step-by-step explanation:
Givens
Total Cost = 400 dollars.
Time Taken = 16 hours
Hourly rate = ?
Formula
Hourly Rate = Total Cost / Number of hours
Solution
Hourly Rate = 400 / 16
Hourly Rate = 25
Can someone please help me with Systems of Equation. If so please comment here and friend me at fmilluzionz#1521. I am in 8th grade math
Answers
Answer:
The FitnessGram PACER Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The test is used to measure a student's aerobic capacity as part of the FitnessGram assessment. Students run back and forth as many times as they can, each lap signaled by a beep sound.
Step-by-step explanation:
A triangle has angles measuring 23 and 48 degrees. What is the measure of the third angle?
Answers
Answer:
109
Step-by-step explanation:
Hope this helped :)
Answer: The answer is 48 degrees hope this helped
Step-by-step explanation:
help me pls i don't have many points pls help if you don't believe me go to my acc and look at my points i only have 13
Answers
Answer:
1. 14
2. 17.5
3. 60
4. 238
5. 91.4375
6. 58.065
Step-by-step explanation:
Sorry, I'm only doing 6, GOOD LUCK!!!
Write 3 equivalent ratios for each ratio given.
6.25 to 1.25
Answers
Answer:
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by:
[tex]\frac{a}{b}[/tex]
Finding equivalent ratios:
To find equivalent ratios, we multiply or divide both a and b by the same value.
6.25 to 1.25
[tex]\frac{6.25}{1.25}*\frac{10}{10} = \frac{6.25*10}{1.25*10} = \frac{62.5}{12.5}[/tex]
[tex]\frac{6.25}{1.25}*\frac{100}{100} = \frac{6.25*100}{1.25*100} = \frac{625}{125}[/tex]
[tex]\frac{\frac{6.25}{1.25}}{{\frac{1.25}{1.25}}} = 5[/tex]
3 equivalent ratios are: [tex]\frac{62.5}{12.5}, \frac{625}{125}, 5[/tex]
Please help !!!! Please help!!!!! I gave extra points, if you put a link I will report you !
Answers
Answer:
7x+7+5x+14=13x+10
12x+21=13x+10
-12x -12x
21=x+10
-10 -10
x=11
13(11)+10
angle 4=153
Step-by-step explanation:
I solved it by using my big brain.
Find 0% of 60:
Find 100% of 60:
Find 50% of 60:
Find 25% of 60:
Find 75% of 60:
Answers
Answer:
Find 0% of 60: 0
Find 100% of 60: 60
Find 50% of 60: 30
Find 25% of 60: 15
Find 75% of 60: 45
Step-by-step explanation:
HELP PLS HURRY! The graph shows the proportional
relationship between the total cost and the
number of pounds of cashews purchased.
What would the total price in dollars be for
11.5 pounds of cashews?
Answers
Answer:
57.5$
Step-by-step explanation:
5$ a pound, 11.5 pounds, multiply them and you get 57.5$
Answer:
45
Step-by-step explanation:
(05.03 LC)A polygon is shown:
A polygon MNOPQR is shown. The top vertex on the left is labeled M, and rest of the vertices are labeled clockwise starting from the top left vertex labeled, M. The side MN is parallel to side QR. The side MR is parallel to side PQ. The side MN is labeled as 3 units. The side QR is labeled as 7 units. The side MR is labeled as 3 units, and the side NO is labeled as 2 units.
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.)
Numerical Answers Expected!
Answers
Answer:
Do u have a picture? I can answer it better where its correct
Step-by-step explanation:
y=3x+5
you have to graph it
Answers
Carissa recently retired, and has $540,000 in savings. She wants to invest as much as possible in a safe CD account paying 1.2% interest, and as little as possible in a riskier bond paying 4.7% interest. She needs to earn $14,880 a year in interest to cover expenses above SSI. How much should she invest in each account?
Answers
Answer:
Don't awnser the bots
Step-by-step explanation:
They will try ro scam you
Given = x= [b a 4 a ] Y =[c d a b] and z = [a c 16 b] What is Y if x-2y=Z?
Answers
Answer:
a [2, -4, -6, -2]
Step-by-step explanation:
The calculated value of the matrix Y is : Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
What is matrix?In mathematics, a matrix is a rectangular array or table of numbers, symbols, or expressions, arranged in rows and columns, which is used to represent a mathematical object or a property of such an object.
Here, we have,
Calculating the matrix Y
From the question, we have the following parameters that can be used in our computation:
Given that
X - 2Y = Z
So, we have
b - 2c = a
a - 2d = c
4 - 2a = 16
a - 2b = b
So, we have
4 - 2a = 16
-2a = 12
a = -6
Next, we have
a - 2b = b
-6 - 2b = b
3b = -6
b = -2
Next, we have
b - 2c = a
-2 - 2c = -6
-2c = -4
c = 2
Lastly. we have
a - 2d = c
-6 - 2d = 2
-2d = 8
d = -4
The matrix Y is given as: Y =[c d a b]
So, we have
Y = [tex]\left[\begin{array}{ccc}2&-4\\-2&-6\end{array}\right][/tex]
Read more about matrix at
brainly.com/question/11989522
#SPJ2
triangle A' B' C' is the result of dilating ABC about point C by a scale factor of two. Determine whether each claim about the properties of A' B' C' and ABC is true or false
Answers
True because all properties are preserved under dilation from triangle ABC to A'B'C'.
We have given a triangle ABC is dilated by a factor of 2/3 , result triangle A'B'C'
We have to determine after dilation, the properties of triangle ABC and A'B'C' is true or false.
What is the transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Dilation of a triangle are results in either decreases or increases in the corresponding length of the triangle, it depends on by which scale factor triangle is dilated ,and dilation does not affect the angle measures of the triangle.
here scale factor is 2/3 so the corresponding sides of the triangle A'B'C' decreases.
So, the dilation of the triangle is not congruent but similar to the original triangle ABC
Therefore, the basic properties of triangles are preserved under the dilation of triangle by a scale factor.
To learn more about the transformation visit:
https://brainly.com/question/4289712
#SPJ2
Answer:
Step-by-step explanation:
The answer is FALSE for the first one AB and A'B' are on the same line.
and TRUE for the second one The measures of B and B' are equal.
A popcorn cup is in the shape of a cone. The slant height of the cone is 9 inches, and the diameter is 6.2 inches. What is the volume of the cone? Use pi equals 3.14. help
Answers
Answer:
V = 262.61 m³
Step-by-step explanation:
Given: Slant height of the cone is 9 inches, the diameter is 6.2 inches.
To find: Volume of the cone
Formula: The formula for the volume of a cone is V = 1/3hπr².
Solve: The base area of the cone. π defines the ratio of any circle's circumference to its diameter and is approximately equal to 3.141593, however, the value 3.14 is often used.
V = π × r² × h / 3
π × r²
V = 262.610935 m³
In the nearest tenths, the volume of the cone is V = 262.61 m²
The cost to rent a U-Haul is $30 per day plus $0.75 per mile driven. What is the
maximum number of miles that can be driven in one day if the total rental cost cannot
exceed $135?
Answers
Answer: 140 miles
let me know if this is wrong
Step-by-step explanation:
135-30=105
105÷0.75=140
Help if you can :)
Also, show work!
Plz dont add any type of link
thxx <3
Answers
find the value of x.
Answers
Answer:
5
Step-by-step explanation:
5y+155=180
5y=180-155=25
y=5
5y+13x=90
13x=90-25=65
x=5°
How much is 2/9th of 234.900?
Answers
Given:
The number is 234.900.
To find:
The [tex]\dfrac{2}{9}[/tex]th of 234.900.
Solution:
We need to find the [tex]\dfrac{2}{9}[/tex]th of 234.900. So, multiply [tex]\dfrac{2}{9}[/tex] and 234.900 to get the required value.
[tex]\text{Required value}=\dfrac{2}{9}\times 234.900[/tex]
[tex]\text{Required value}=\dfrac{469.800}{9}[/tex]
[tex]\text{Required value}=52.200[/tex]
Therefore, the [tex]\dfrac{2}{9}[/tex]th of 234.900 is 52.200 or it can be written as 52.2.
What is the maximum number of boxes that can be purchased with $65.00?
Answers
Solve the following inequality.
-4x + 5 2 25 + 6x
A. X2
B. XS2
C. XS-2
OD. XX-2
Answers
What is the range of the function graphed below?
A. Y>-1
B X< -1
C X>-1
D Y< -1
LOOK AT THE GRAPH.
Answers
Answer:
Option A
Step-by-step explanation:
Range of a function is defined by the set of y-values (output values).
From the given graph,
Y-values of the exponential function given in the graph vary from y = -1 to y = ∞ (excluding both the points)
Therefore, Range of the given exponential function will be y > -1
Option A will be the correct option.
In developing a new gasoline additive, researchers randomly select 10 cars and drive them both with and without the additive. The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16. Assume the differences are from an approximately normal distribution. We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive. Calculate the test statistic.
Answers
Answer:
The test statistic is t = 3.24.
Step-by-step explanation:
We want to test the hypothesis that the fuel additive has mean mpg less than the mean mpg without the additive.
This means that the null hypothesis is that the difference is less than 0, while the alternate hypothesis is that the difference is 0 or more.
The test statistic is:
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]s[/tex] is the standard deviation of the sample and n is the size of the sample.
0 is tested at the null hypothesis:
This means that [tex]\mu = 0[/tex]
Randomly select 10 cars
This means that [tex]n = 10[/tex]
The sample mean difference in gas mileage (mpg with additive - mpg without additive) is 0.41 mpg with a sample variance of 0.16.
This means that [tex]X = 0.41, s = \sqrt{0.16} = 0.4[/tex]
Calculate the test statistic.
[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{0.41 - 0}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]t = 3.24[/tex]
The test statistic is t = 3.24.
Find the mean of the data in the bar chart below.
Answers
Answer:
2.5
Step-by-step explanation:
2) Shannon and Lisa start running at the same time
in the same direction
3
Shannon can run 1 - miles in 1/2 of an hour.
4
2
Lisa can run 2 1/2 miles in of an hour.
3
They both continue running at a constant rate.
WIN
How far apart will they be after 3/4 of an hour?
Answers
Answer:
0.1875 miles (or 3/16 of a mile)
Step-by-step explanation:
In order to make the math easier for calculating the distance, the values have to be calculated to whole hours.
1.75*2 = 3.5
2.5 * 3 = 7.5, 7.5/2 = 3.75
Now, I divide the whole hours into quarters
3.5/4 = 0.875
3.75/4 = 0.9375
Multiply both values by 3 to get the distance after 3/4 of an hour
0.875 = 2.625
0.9375 = 2.8125
remove the smaller value from the larger value
2.8125 - 2.625 = 0.1875
I might have used a more over-complicated method than what you might have been taught, but it should be just as efficient. Good luck with your assignment!
1 A local college rents calculators to students
taking math classes. The cost to rent the
calculator is $5 per month plus a
nonrefundable fee of $10. Write an equation
to represent the cost, c, of renting a
calculator for m months.
2
Fleanor hart
Answers
What is the answer ? What value is missing from the table?
Answers
Answer A. 17
Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.
10 ft
А
- “不
6 ft
v
10 ft -
12 ft
B
C | 12 ft
4 ft
4 ft
Answers
Answer:
58
Step-by-step explanation:
case I added it and I m right
help it's due today
Answers
Answer:
0.000096
Step-by-step explanation:
Answer:0.000096
Step-by-step explanation:
i looked it up good luck on your khan academy xD!