Which system of linear inequalities is represented by the
graph?
+ 3 and 3x - y> 2
O y2x+3
Oy23x+3 and 3x –y> 2
O yzx-
Oy2x+3 and 2x-y> 2
(+ 3 and 3x + y > 2
-2
Answers
Answer:
first choice: y≥1/3 x+3 and 3x-y>2
Step-by-step explanation:
The system of linear inequalities is: [tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
The orange lineThe equation of the orange line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{3- 4}{0-3} \times (x -3) + 4[/tex]
[tex]y = \frac{- 1}{-3} \times (x -3) + 4[/tex]
[tex]y = \frac{1}{3} \times (x -3) + 4[/tex]
Open the bracket
[tex]y = \frac{1}{3}x -1 + 4[/tex]
[tex]y = \frac{1}{3}x + 3[/tex]
The inequality has a thick line, and the upper region is shaded.
So, the inequality is:
[tex]y \ge \frac{1}{3}x + 3[/tex]
The gray lineThe equation of the gray line is calculated using:
[tex]y = \frac{y_2 - y_1}{x_2-x_1} \times (x -x_1) + y_1[/tex]
This gives
[tex]y = \frac{4- 1}{2-1} \times (x -1) + 1[/tex]
[tex]y = \frac{3}{1} \times (x -1) + 1[/tex]
[tex]y = 3 \times (x -1) + 1[/tex]
Open the bracket
[tex]y = 3x -3 + 1[/tex]
[tex]y = 3x -2[/tex]
The inequality has a dotted line, and the right region is shaded.
So, the inequality is:
[tex]y < 3x -2[/tex]
Rewrite as:
[tex]3x -2 > y[/tex]
So, we have:
[tex]3x -y > 2[/tex]
Hence, the system of linear inequalities is:
[tex]y \ge \frac{1}{3}x + 3[/tex] and [tex]3x -y > 2[/tex]
Read more about system of inequalities at:
https://brainly.com/question/9774970
Related Questions
Pls help I’ll brainlest
Answers
Or y=2.5x
Hope this helps
one number is 11 more than another number. find the two number if three times the larger number exceeds four times the smaller number by 4
Answers
Answer:
29
Step-by-step explanation:
n = smaller number
n + 11 = larger number
3(n + 11) = 4n + 4
3n + 33 = 4n + 4
33 = n + 4
29 = n
PLEASE HELP I PUT IT FOR 40 PIONTSSSSSSSS
Answers
Answer:
its only 20
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The larger of two numbers is 10 more than three times the smaller number the sum of the two numbers is 54 find the two numbers
Answers
Answer:
x = 11
y = 43
Step-by-step explanation:
x = small number
y = large number
Set up a system of equations:
y = 10 + 3x
x + y = 54
Solve system by substitution: x + 10 + 3x = 54
4x + 10 = 54
4x = 44
x = 11
x + y = 54
11 + y = 54
y = 54 - 11
y = 43
Helpp picture about
Answers
Answer:
Option A, C, and E
Step-by-step explanation:
7 to the fourth power is the same as 7 times 7 times 7 times 7.
7^4 is the same thing as 7 to the fourth power, just rewritten.
I hope this helped, please give brainliest if this is correct! Thank you!
Norman has $15 in his wallet which is 20% of the total amount of money he owns. How much
money does Norman have in total? (Create a linear model if needed.)
Answers
20% x 5 = 100% 15 x 5 = 75
Answer: $75 is the total money he has.
Item 2
Solve.
52 – 2x = 4
–28
–24
24
28
Answers
Answer:
24
Step-by-step explanation:
52-2x=4 (move the constant to the right)
-2x=4-52 (calculate)
-2x=-48 (divide both sides)
solution: 24
hope this helps!
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!!!!!!!
Yesterday, I put 10 gallons of gas in my car and I paid $30. A couple hours after, I went back to the gas station with my dad’s car and I put 6 gallons and I paid $18.
Answers
m<DAB and m< ABC, if m<ADC=35°
m<B CD = 46°
A
B
D
Answers
What unit of measurement for a wasp’s leg?
Answers
Answer:
Probably by mm or cm
Step-by-step explanation:
Ok Billy needs 90 lbs of garden soil to landscape a building. In the company storage area, he finds 2 cases holding 24 3/4 soil each, and a third case holding 19 3/8 lb. How much gardening does Bill still need in oder to do the job?
Answers
Answer:
1/3
Step-by-step explanation:
A car travels 450km at 100km/h and 90km at 60km/h. Find its average speed?
Answers
Answer:
Average speed = 90 km/h
Step-by-step explanation:
Given that:
Distance covered at 100 km/h = 450 km
Time = [tex]\frac{Distance}{Speed}[/tex]
Time = [tex]\frac{450}{100}=4.5\ hours[/tex]
Distance covered at 60 km/h = 90 km
Time = [tex]\frac{90}{60}=1.5\ hours[/tex]
Total distance travelled = 450 + 90 = 540 km
Total time taken = 4.5 + 1.5 = 6 hours
Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]
Average speed = [tex]\frac{540}{6}[/tex]
Average speed = 90 km/hr
Hence,
Average speed = 90 km/h
Multiplying intergers practice look at pic
Answers
2)-6,014
3)-70
4)6,474
5)2,703
6)-5,795
7)1,679
8)1,488
9)6,510
10)513
11)-1,071
12)-660
Since you already know how to multiply, how you do this is when you see a negative sign your answer will come out as positive, and if there's no negative sign then your answer is positive. If there's 2 negative signs then your answer is positive.
(+)(+) = positive
(-)(+) = negative
(-)(-) = negative
simplify the expression 14y +6+3y
Answers
Answer:
The simplified version is 17y + 6.
Step-by-step explanation:
14y + 6 + 3y
17y + 6
Answer:
17y + 6
Step-by-step explanation:
commutative property
14y + 6 + 3y
14y + 3y + 6
combine like terms
14 + 3 = 17
17y + 6
I forgot how to do these types of problems..
A cyclist rides his bike at a speed of 27 miles per hour. What is this speed in feet per second? How many feet will the cyclist travel in 10 seconds? In your computations, use the fact that 1 mile is equal to 5280 feet. Do not round your answers.
Answers
An hour is 60 min. times 60 seconds, or 3600 seconds.
A mile is 5280 feet so 27 miles is 27 * 5280 or 142,560 feet.
So we're saying he goes 142560 feet in 3600 seconds. Divide 142560/3600 and we get 39.6 feet per second.
In ten seconds he'll go 10 times that or 396.0 feet.
Two slices of Dan's famous pizza have 250 calories.
How many calories are in 5 slices of pizza?
A. 620
B. 625
C. 630
D. 635
Answers
Answer:
625
Step-by-step explanation:
250 divided by 2 to figure out how many calories in each piece, then you get 125 and muliply it by 5!
please i need your help?
Answers
9514 1404 393
Answer:
(15, 0) = (movies, games)
Step-by-step explanation:
If the goal is to purchase as many items as possible, that is best reached by spending all of the money on the least-expensive items. Purchase of 15 movies (at $20 each) will do what Lane wants.
(movies, games) = (15, 0)
__
The graph shows that answer choice (12, 4) is not in the solution set.
Please help me I need to pass
Answers
Answer:
option C is the correct answer
Two lines that have the same y intercept, are always the same line.
TRUE OR FALSE?
Answers
If the function r(x) = f(x + 5), how can the graph of the function
r(x) be obtained from the graph of f(x)?
A. By translating the graph of f(x) five units to the right
B. By translating the graph of f(x) five units to the up
C. By translating the graph of f(x) five units to the left
D. By translating the graph of f(x) five units to the down
Answers
Answer:
letter b
Step-by-step explanation:
which of the following statements are true about the points (5,3) and (5,-3) is true
A. is in the same quadrant
B. is a reflection of each other over the y-axis
D. is a reflection of each other over the x-axis
C. reflections over both axis
Answers
Answer:
we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Step-by-step explanation:
We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.
We are given a point (5,3)
and other point (5,-3)
We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.
In our case, first point (5,3) the coordinates are: x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains same while, y-coordinate value is negated (negative)
So, we can say that the points are reflection of each other over the x-axis.
Option D is correct option.
Answer: Option D is the correct option.
Step-by-step explanation:
We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.
We are given a point (5,3)
and another point (5,-3)
We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.
In our case, for the first point (5,3) the coordinates are x=5, y=3
The other point (5,-3) the coordinates are: x=5, y=-3
The x-coordinate value remains the same while, the y-coordinate value is negated (negative)
So, we can say that the points are reflections of each other over the x-axis.
Consider the function f(x)=x^3+7. What is the inverse of f(x)?
Answers
Step-by-step explanation:
f(x)=x^3+7
y=x^3+7
x=y^3+7
y^3=x-7
y=cube root (x-7)
f(x) inverse=cube root of x-7
The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
The given function is f(x)=x³+7.
What is the inverse function?Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
Now, f(x)=x³+7 can be written as y=x³+7
⇒ x=y³+7
⇒ y³=x-7
⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]
Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].
To learn more about the inverse function visit:
https://brainly.com/question/28595547.
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What is the perimeter of the parallelogram?
3.5 cm
2.5 cm
5 cm
6 cm
12 cm
7 cm
Answers
The answer is 12 when you add the base and height of the parallelogram and multiply by2
Answer:
12
Step-by-step explanation:
i really need help with these statistics questions! thank you!
Answers
Answer:
a.) T b.) T
Step-by-step explanation:
I need help on this question ASAP.
Answers
Write the exponent for the expression.
4x4
Answers
Answer: 4²
Explanation: First, we count the number of 4's to
find that we have 2 factors of 4.
So to write this problem in exponential form, we use a base
of 4 and an exponent of 2 which can be read as "4 to the 2nd power."
Answer:
4×4×4=64 to the power of 3=64
I am about to take a 2020-2021 math grade 5 unit 2 part 2 assessment what should i do?
Answers
Answer:
You should study for about 30-60 minutes and make sure your somewhere quite so you can focus. While you take your assessment you want water, and maybe some gum.
Find 4/9 of 6:9 in simplest form
Answers
Answer:Change values to whole numbers.
Convert any mixed numbers to fractions.
Convert 3 1/8
3 1/8 = 25/8
We now have:
5 : 3 1/8 = 5 : 25/8
Convert the whole number 5 to a fraction with 1 in the denominator.
We then have:
5 : 3 1/8 = 5/1 : 25/8
Convert fractions to integers by eliminating the denominators.
Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator
LCD(5/1, 25/8) = 8
We now have:
5 : 3 1/8 = 40/8 : 25/8
Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.
We then have:
5 : 3 1/8 = 40 : 25
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 40 and 25 is 5
Divide both terms by the GCF, 5:
40 ÷ 5 = 8
25 ÷ 5 = 5
The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :
40 : 25 = 8 : 5
Therefore:
5 : 3 1/8 = 8 : 5
Step-by-step explanation:
please answer all four pleaseee on the file its 100 points plzz answer it asap I also give brainliest
Answers
Answer:
Gene then pouts
Step-by-step explanation:
Each deck has 52 cards in it. Using m, write an expression for the total number of cards.
Answers
Answer: 52m cards
Step-by-step explanation:
First part of question says: Karen has m decks of cards.
If Karen has m deck of cards and each deck has 52 cards in it, the total number of cards that all that Karen will have will be 52 multiplied by the number of deck of cards Karen has:
= 52 * m
= 52m