Which linear inequality is represented by the graph?
1 y 1/2x + 2
2 yx+2
3 y=x+2
4 y2 x + 2
Answers
Answer:
A
Step-by-step explanation:
The linear equation of inequality is y ≤ ( x/2 ) + 2
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
The x intercept of the equation is when y = 0
So , A ( -4 , 0 ) is the x intercept
And , the y intercept is when x = 0
So , B ( 2 , 0 ) is the y intercept
Therefore , the inequality is y ≤ ( x/2 ) + 2 and the graph is plotted
Hence , the inequality is y ≤ ( x/2 ) + 2
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Related Questions
There are 3 basketball teams. Each team has 10 players. All of the teams are used to make 6 groups during practice. How many players are in each group.
Answers
3x10=30.
30/6=5
Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!
Answers
16+4(c-5)=220 what is c
Answers
Answer:
c=205
Step-by-step explanation:
distribute the 4 in the parentheses then solve the equation
The first five terms of an arithmetic sequence are 8, 13/2, 5, 7/2, and 2. Which function, f(x), could be used to describe the xth term of the sequence?
Answers
Answer:
f(x) = 8 - 1.5x
Step-by-step explanation:
Here, we want to write a function that can be used to describe the x th term of the sequence
Mathematically, this can be calculated by looking at the numbers in the sequence
The difference between each successive term
is -1.5 ( 6.5-8, 3.5 -5)
So the formula for then x th term will be;
f(x) = 8 - 1.5x
where x refers to the number of the term , for example the 4th term
Answer:
-1.5x+9.5
Step-by-step explanation:
-1.5(1)+9.5=8
-1.5(2)+9.5=6.5
-1.5(3)+9.5=5
and so on....
i need help please
its pretty urgent
Answers
A team is selling discount cards as a fundraiser. The table shows the number of cards sold and the remaining amount of money needed.
Which word describes the slope of the line representing the data in the table?
zero
undefined
negative
positive
Answers
Answer:negative should be the answer
Step-by-step explanation:
Answer: Negative
Step-by-step explanation:
The y-int is going down because the money is decreasing.
URGENT!!! From 120 to 140 find the percentage change
Answers
the cost of a hotel room for 5 nights is $610. there is a 9.5% tax
Answers
Answer:
wrong it is 667.95
Step-by-step explanation:
Use properties of operations to write an expression equivalent to the expression below.
p6+(q+8)
Answers
Answer:
q8+p6=14
Step-by-step explanation:
Answer:
Answer:14
Step-by-step explanation:
Use PEMDAS
What is the slope-intercept form of the function described by this table?
Enter your answer by filling in the boxes.
y =| | x + | |
Answers
Answer:
y = - 3x + 4
Step-by-step explanation:
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] ) Point-slope form
y = mx + b Point-intercept form
(1, 1)
(2, - 2)
m = (- 2 - 1 ) / (2 - 1) = - 3
y - 1 = - 3( x - 1 )
y = - 3x + 4
What is the slope of the line with the following points?
Point A (10,6)
Point B (15, 10)
Answers
Answer:
4/5
Step-by-step explanation:
What is 35,894 to the nearest hundred
Answers
Answer: 35,900
Step-by-step explanation:
Write the equation of the line that passes through the given points. (0,2) and( 2,11)
Answers
Answer:
9/2
Step-by-step explanation:
Kona’s mother realized that her age is the difference of Kona’s age squared and four. If k represents Kona’s age, which expression represents Kona’s mother’s age?
k squared minus 4
k cubed minus 4
k squared + 4
k cubed + 4
Answers
Answer:
k squared minus 4/ A
Step-by-step explanation:
took the test
Answer:A. k squared minus 4
Step-by-step explanation:
Bruce drew a scale drawing of a house and its lot. The house's driveway, which is 17 feet
wide in real life, is 34 inches wide in the drawing. What scale did Bruce use for the drawing?
Answers
Answer:
1/6
Step-by-step explanation:
Convert 17 feet to inches. 17×12 = 204
204 inches to 34 inches.
204/34 = 6
Remember we are scaling down
204× 1/6 = 34
Last question!!
Match the picture to the reason that would prove the triangles congruent.
Options:
NONE
ASA
SSS
SAS
AAS
HL
Answers
Answer:
Answer: SAS
Step-by-step explanation:
We must prove that triangles ABC and EDC are congruent.
Since BD bisects AE, then AC is congruent with CE.
Since AE bisects BD, then BC is congruent with CD
Angle C is 90° in the triangle EDC and is also 90° in triangle BCA because they are vertical angles.
Being two sides and the included angle congruent, then both triangles are similar by the SAS theorem.
Answer: SAS
Determine whether the lines given in each box are parallel, perpendicular, or neither
You can do it by page say page one or page two please need it by today
Answers
Answer/Step-by-sep explanation:
To determine whether the lines given in each box are parallel, perpendicular, or neither, take the following simple steps:
1. Ensure the equations for both lines being compared are in the slope-intercept form, y = mx + b. Where m is the slope.
2. If both lines have the same slope value, m, then both lines are parallel.
3. If the slope of one line is the negative reciprocal of the other, then both lines are perpendicular. That is, x = -1/x.
4. If the slope of both lines are not the same, nor the negative reciprocal of each other, then they are neither parallel nor perpendicular.
1. y = 3x - 7 and y = 3x + 1.
Both have the same slope value of 3. Therefore, they are parallel.
2. ⬜ [tex] y = -\frac{2}{5}x + 3 [/tex] and [tex] y = \frac{2}{5}x + 8 [/tex]
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⅖ and the slope of the other is ⅖. Therefore, they are neither parallel nor perpendicular.⬜
3. [tex] y = -\frac{1}{4}x [/tex] and [tex] y = 4x - 5 [/tex]
The slope of the first line, ¼, is the negative reciprocal of the slope of the second line, 4.
Therefore, they are perdendicular.
4. 2x + 7y = 28 and 7x - 2y = 4.
Rewrite both equations in the slope-intercept form, y = mx + b.
2x + 7y = 28
7y = -2x + 28
y = -2x/7 + 28/7
y = -²/7 + 4
And
7x - 2y = 4
-2y = -7x + 4
y = -7x/-2 + 4/-2
y = ⁷/2x - 2
The slope of the first line, -²/7, is the negative reciprocal of the slope of the second line, ⁷/2.
Therefore, they are perdendicular.
5.⬜ y = -5x + 1 and x - 5y = 30.
Rewrite the second line equation in the slope-intercept form.
x - 5y = 30
-5y = -x + 30
y = -2x/-5 + 30/-5
y = ⅖x - 6
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -5 and the slope of the other is ⅖. therefore, they are neither parallel nor perpendicular.⬜
6.⬜ 3x + 2y = 8 and 2x + 3y = -12.
Rewrite both line equations in the slope-intercept form.
3x + 2y = 8
2y = -3x + 8
y = -3x/2 + 8/2
y = -³/2x + 4
And
2x + 3y = -12
3y = -2x -12
y = -2x/3 - 12/3
y = -⅔x - 4
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -³/2 and the slope of the other is -⅔ therefore, they are neither parallel nor perpendicular.⬜
7. y = -4x - 1 and 8x + 2y = 14.
Rewrite the equation of the second line in the slope-intercept form.
8x + 2y = 14
2y = -8x + 14
y = -8x/2 + 14/2
y = -4x + 7
Both have the same slope value of -4. Therefore, they are parallel.
8.⬜ x + y = 7 and x - y = 9.
Rewrite the equation of both lines in the slope-intercept form.
x + y = 7
y = -x + 7
And
x - y = 9
-y = -x + 9
y = -x/-1 + 9/-1
y = x - 9
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -1, and the slope of the other is 1, therefore, they are neither parallel nor perpendicular.⬜
9. y = ⅓x + 9 And x - 3y = 3
Rewrite the equation of the second line.
x - 3y = 3
-3y = -x + 3
y = -x/-3 + 3/-3
y = ⅓x - 1
Both have the same slope value of ⅓. Therefore, they are parallel.
10.⬜ 4x + 9y = 18 and y = 4x + 9
Rewrite the equation of the first line.
4x + 9y = 18
9y = -4x + 18
y = -4x/9 + 18/9
y = -⁴/9x + 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is -⁴/9, and the slope of the other is 4, therefore, they are neither parallel nor perpendicular.⬜
11.⬜ 5x - 10y = 20 and y = -2x + 6
Rewrite the equation of the first line.
5x - 10y = 20
-10y = -5x + 20
y = -5x/-10 + 20/-10
y = ²/5x - 2
The slope of both lines are not the same, nor is the slope of one the negative reciprocal of the other. The slope of one is ⅖, and the slope of the other is -2, therefore, they are neither parallel nor perpendicular.⬜
12. -9x + 12y = 24 and y = ¾x - 5
Rewrite the equation of the first line.
-9x + 12y = 24
12y = 9x + 24
y = 9x/12 + 24/12
y = ¾x + 2
Both have the same slope value of ¾. Therefore, they are parallel.
what does x equal -x +5 = -4
Answers
Answer:
-9
Step-by-step explanation:
+number + +number = positive
-number + +number = negative
When you add a positive number to a negative number, the negative number will try to go down to 0 more
I'LL GIVE BRAINLIEST! Which property of similarity can be used to prove triangles LKJ and ZYX are similar? A) SAS B) AA C) SSS D) Not enough information given
Answers
Answer:
B, because it’s Angle Angle, or (A,A)
The given triangles are similar by AA rule of similarity.
What is triangle similarity?If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.
Given are two triangles,
AA rule of similarity:
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
Here we see,
∠ K ≅ ∠ Y
∠ J ≅ ∠ X
Hence, we can say that, both are similar by AA rule.
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Is this correct or wrong?
Answers
Answer:
It is correct :)
Step-by-step explanation:
Find the slope of the line y = -2x +
2
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
The slope is -2
Step-by-step explanation:
In any equation that is in the form of this question, the slope is always the number next to x. An example could be y = 6x - 1, the slope would be 6. If we had y = -100x - 5, the slope would be -100.
Nicholas hired a moving company. The moving company charged $400 for its services, and Nicholas gives the movers a 15% tip. How much does
Nicholas tip the movers?
Answers
Answer:
The Answer is $60.00
Step-by-step explanation:
Solve the inequality. T/4 > 7
Answers
Answer:
T>28
Step-by-step explanation:
Multiply 4 to both sides to get your variable alone.
Sam and Jane must learn to spell certain words as part of their homework. The graph shows the number of words each one learns with respect to time. In how many minutes will they have learned to spell an equal number of words?
Answers
Answer:
5 minutes
Step-by-step explanation:
because the line intersects at 5 minutes and they each learned 60 words at 5
Answer:
5 minutes
Step-by-step explanation:
:)
A 12 oz glass of apple juice cost $2.20 at a store how much does each ounce of Apple juice cost
Answers
Answer: 18 cents or $0.18
Step-by-step explanation: you divide 2.20/12
Answer:
simple do $2.20 divide by 12 and you will get your answer
Step-by-step explanation:
$.10
find the slope given (2,-7) and (-1,6)
Answers
Answer:
-0.77777777777778
Step-by-step explanation:
Which method can you use to prove that the triangles are congruent
Answers
Answer:
HL
Step-by-step explanation:
It's a right triangle.
Answer: HL
Step-by-step explanation: because they are right triangles
1. Which diagram below shows the first step in parallel line construction on a point outside a
line?
Answers
Answer:
B
Step-by-step explanation:
Answer: make a line the same way as the other one and it’s b
Step-by-step explanation: 2nd grade ez
If im born in July 13th, 2007...how old will i be in 2025?
Answers
Answer:
18 years 0 months 0 days
Step-by-step explanation:
or 216 months 0 days
or 939 weeks 2 days
or 6,575 days
or 157,800 hours
or 9,468,000 minutes
or 568,080,000 seconds
Answer:
you will be 18!
Step-by-step explanation:
So if you are born In 2007 add 3 years to that. Now it's 2010 add 10 years to that. Now it is 2020. Now just add another 5 years to that and you get- 18!
While exploring a volcano, Zane heard some rumbling, so he decided to climb up out of there as quickly as he
could.
Zane's elevation relative to the edge of the inside of the volcano (in meters) as a function of time (in seconds) is
graphed.
how high did zane climb every 7 seconds
A 7/5 meters
B 5 meters
C 5/7 meters
D 7 meters
Answers
Answer:
Step-by-step explanation:
Zanes can climb 5/7 meters for every 7 seconds.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
This is clearly shown in the graph of Zane's elevation relative to the rim of the volcano in meters as a function of time in seconds.
The graph showed that Zane was climbing the volcano at a constant rate, creating a linear graph of his movement.
From the graphical representation, it could be seen from the graph that the x-intercept is (0,5) and the y-intercept is (7,0)
Slope of line is m=5/7
Hence, Zanes can climb 5/7 meters for every 7 seconds.
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