Write an inequality that has the points (-2, -6) and (4, -3) on the line and (6, -4) and (2, -4) as solutions.
(use <= or >= for ≤ or ≥
symbols and write your inequality in y=mx+b form with no spaces)
inequality=
Answers
Answer in fraction form is: y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
Answer in decimal form is: y ≤ 0.5x - 5
You only need to pick one answer format.
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Explanation:
The drawing is below.
Let's label the four given points as A,B,C,D
A = (-2,-6)B = (4,-3)C = (6,-4)D = (2,-4)For now, let's focus on the boundary points A(-2, -6) and B(4, -3). A straight line in the form y = mx+b passes through these points. Compute the slope.
m = (y2-y1)/(x2-x1)
m = (-3 - (-6))/(4 - (-2))
m = (-3 + 6)/(4 + 2)
m = 3/6
m = 1/2
m = 0.5
Now let's use one of those (x,y) points along with that m value to find the y intercept b. I'll use the coordinates from point A.
y = mx+b
-6 = 0.5*(-2)+b
-6 = -1 + b
-6+1 = b
-5 = b
b = -5
The equation of the boundary line is y = 0.5x-5 which is the same as saying y = (1/2)x - 5 or [tex]y = \frac{1}{2}x-5[/tex]. We can refer to this as line AB.
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If you were to plot all four points (A,B,C,D) on the same xy grid, then you'd find that point D is on line AB. We're told that point D is a solution to the inequality, which must mean we are going to involve "or equal to" as part of the inequality sign. This will allow points on the boundary to be part of the solution set.
Notice how point C is below line AB. Since point C is also a solution, this means we go for "less than" to shade below the boundary. Overall, the sign we go for is "less than or equal to" or in short ≤
Therefore, the inequality is y ≤ 0.5x - 5
which is the same as writing y ≤ (1/2)x - 5 or [tex]y \le \frac{1}{2}x-5[/tex]
Related Questions
A test has 20 questions. The test awards 3 points if the answer is correct and takes away 1 point if the answer is incorrect. A student answered 5 questions incorrectly. How many points did the student lose?
Answers:
A. 15 Points.
B. -15 Points.
C. -5 Points.
D. 8 Points.
Answers
Answer:
C. -5
Step-by-step explanation:
20 x 3 = 60
5 x 1 = 5
60 - 5 = 55
What is the value of x + y for the system of equations y= 2x - 2 and y= 4x + 6?
Answers
Answer:
x= -1
y= 2
Step-by-step explanation:
Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2
y-intercept = 2/1 = 2
When y = 0 the value of x is 1/-1 Our line therefore "cuts" the x axis at x= -1
x-intercept = 2/-2 = 1/-1 = -1
Please help
The question is in the picture
Answers
Answer:
A
Step-by-step explanation:
90/2 = 45
45/2 = 22.5
you roll a die 100 times and a six shows up 74 times out of 100. based on these outcomes, what is the estimated probability that the next roll shows up as a six?
Answers
Which of the following best describes the slope of the line below?
• A. Negative
• B. Undefined
• C. Zero
D. Positive
Answers
Answer:
A. Negative
Step-by-step explanation:
This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.
Answer:
Negative
Step-by-step explanation:
We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.
Solve each system by elimination
10x-8y=4
-5x+3y=-9
Answers
[tex]10x-8y =4~~~....(i)\\\\-5x+3y=-9~~~...(ii)\\\\\text{Multiply equation (ii) by} -2\\\\10x-6y = 18~~~...(iii)\\\\(iii)-(i):\\\\10x-6y - 10x +8y = 18 -4\\\\\implies 2y = 14\\\\\implies y= \dfrac{14}2 = 7\\\\\text{Substitute y = 7 in equation (i):}\\\\10x-8(7) =4\\\\\implies 10x - 56 =4\\\\\implies 10x = 4+56\\\\\implies 10x = 60\\\\\implies x = \dfrac{60}{10} = 6\\\\\\\text{Hence (x,y) = (6, 7)}[/tex]
PLEASE HELP!!!
46√2 simplified radical form
Answers
2/5 of a kiddy pool was filled with water. After pouring out 5/7
of the amount of water in the pool 62 liters of water was needed to fill the pool completely. Find
the amount of water needed to fill up the empty
pool.
Answers
Answer:
The question is asking what is the volume of water in the full pool. It is 70 liters.
Step-by-step explanation:
Let P represent the volume of a full pool.
"2/5 of a kiddy pool was filled with water" can be written as:
(2/5)P.
"After pouring out 5/7 of the amount of [I assume from the 2/5P] water in the pool" can be written as:
(2/7)(2/5)P, or (4/35)P [This represents the amount of water remaining in the pool after the above shenanigans.]
The we are told that when 62 liters are added back to the pool, it is full. That can be written as:
62 + (4/35)P = P [Add 62 liters to what was remaining. ((4/35)P), and we'll have P, a full pool, for a cool fool. [sorry]
62 = (31/35)P
P = 62(35/31)
P = 70 liters
The question is in the picture pls help!!!!!
Answers
Answer:
I believe its (B.)
Use the quadratic formula to solve for x.
9x^2-3x=1
Round the answer to the nearest hundredth
Last question.
Answers
X= 1-5/6
The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? (5, 13) (-3, 3) (5, 3) (-3, 13)
BRAINLIEST
Answers
Answer:
A. (5, 13)Step-by-step explanation:
The function f(x) = (x - 4) + 5 is the translation of the function f(x) 4 units right and 5 units up and the rule is:
(x, y) → (x + 4, y + 5)Apply the rule to the given point to get:
(1, 8) → (1 + 4, 8 + 5) = ( 5, 13)Correct choice is A
Answer:
A. (5, 13)
Step-by-step explanation:
Need help on HS geometry
Answers
Answer:
See belowStep-by-step explanation:
AB is a midsegment.
Property of the midsegment is midsegment is half the length of the parallel side of the triangle:
2AB = 88AB = 44And
3x - 4 = 443x = 48x = 161/2 mile in 1/16 an hour.what is its rate in miles per hour
Answers
Answer:
Step-by-step explanation:
Miles per hour is a speed and we usually just hear the number of how fast a car or a rocket or meteor is going. We look at our speedometer in the car and see how fast we're driving, 35mph or 73mph
But it is literally a formula. Miles on top and hours on the bottom, like a fraction. If the numbers you're given are in miles and in hours, your can just fill in the numbers and simplify.
Your numbers are also fractions, so it looks a little scary, but no worries, you can simplify it.
You have 1/2 on top and 1/16 on the bottom. A fraction bar is just a division sign, we're going to divide 1/2 ÷ 1/16 We do this by using the rule:
Keep Change Flip
1/2 Keep
___ Change
1/16 Flip
Keep the 1/2
Change ÷ to *
Flip the 1/16
So it becomes 1/2* 16/1
1/2 * 16 is 8
8 miles per hour is your answer.
If fractions are too terrifying, you could just change 1/2 to .5 and
change 1/16 to .0625
.5 ÷ .0625= 8
Answer: 8mph
Which system of equations is equivalent to the following system? 2x 4y = 14 4x y = 20 2x 4y = 14 â’16x â’ 4y = â’80 2x 4y = 14 â’4x y = â’20 4x 8y = â’28 4x y = 20 â’2x â’ 4y = 14 4x y = 20.
Answers
The equivalent equations of [tex]2x+ 4y = 14[/tex] and [tex]4x + y = 20[/tex]
are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
The system of equations is given as:
[tex]2x+ 4y = 14[/tex]
[tex]4x + y = 20[/tex]
Multiply both sides of the equations by -4.
So, we have:
[tex]-4 \times (4x + y) = -4 \times 20[/tex]
Distribute the expression
[tex]-4 \times 4x -4 \times y = -4 \times 20[/tex]
Evaluate all products
[tex]-16x -4y = -80[/tex]
So, we have the following system of equations
[tex]2x+ 4y = 14[/tex]
[tex]-16x -4y = -80[/tex]
Hence, the equivalent equations are [tex]2x+ 4y = 14[/tex] and[tex]-16x -4y = -80[/tex]
Read more about equivalent equations at:
https://brainly.com/question/9603710
The sum of three consecutive odd numbers is 99.
What is the smallest of the three numbers ?
Answers
31
hope this is helpful!
Please help with this question!!!!
Answers
Answer:
what is your question ?
Step-by-step explanation:
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.
How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns
Answers
12.5(20 + 35) - 38(16)
Answers
Answer:
79.5
Step-by-step explanation:
20+35=55
38*16=608
12.5*55=687.5
687.5-608=79.5
Hope this helps! Plz give brainliest! Also, pls sub to kgirl633 on yt.
Answer: 79.5
Step-by-step explanation:
how far does a horse travel if it gallops at an average speed of 25 km/h for 30 min?
Answers
Answer:
12.5 km.
Step-by-step explanation:
Distance = average speed x time = 25 km/h x 0.5 h = 12.5 km.
if wrong, sorry
(but most likely right)
The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?
Answers
4:3
8:6
12:9
16:12
20:15
24:18
28:21
What is the most precise and accurate definition of perpendicular lines?
A. two lines in a plane with opposite reciprocal slopes
B. two lines in a plane with opposite slopes
C. two lines in a plane with reciprocal slopes
D. two lines in a plane with the same slope
Answers
Answer:
A. two lines in a plane with opposite reciprocal slopes
Step-by-step explanation:
Because, if you flip a slope and change the sign, you get an opposite reciprocal to the original slope, thus, forming perpendicular lines.
Fd meaning in microsift
Answers
Answer:
FD = Forced Deal
It is verified whenever you divide by 0 on a Enigma from 1942.
Answer:
/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.
Step-by-step explanation:
the forces opposing the expansion of the universe are due to
Answers
The forces opposing the expansion of the universe are due to the gravitation interaction.
Hope it helped.
omg guys pls help me, its due at 5pm
Answers
Answer:
1) 3:4
Step-by-step explanation:
Answer:
1. 3 ratio 5
2. 4 ratio 4
3. 2 ratio 5
4. 2 ratio 4
Which triangles could not be similar to triangle ABC ? triangle a b c with right angle b. side a b is 12 cm. side b c is 5 cm. side a c is 13 cm. Select each correct answer. Right triangle D E F with right angle at E. D E is 8 centimeters. D F is 10 centimeters. E F is 6 centimeters. Right triangle J K L with right angle at K. J K is 36 centimeters. J L is 39 centimeters. K L is 25 centimeters. Right triangle M N O with right angle at N. M N is 35 centimeters. M O is 37 centimeters. N O is 12 centimeters. Right triangle G H I with right angle at H. G H is 6 centimeters. G I is 6.5 centimeters. H I is 2.5 centimeters.
Answers
Answer:
triangle JKL
Step-by-step explanation:
This is because the lengths of each side JKL is a factor to ABC
respectively .
AB=12,JK=36
AC=13,JL=39
BC=5,KL=25
I hope you understand
describes one way in which the environment's physical characteristics affected colonial economic activities?
Answers
Answer:
Existence of rivers is used as water sources method of distribution
Existence of resources for material.
Step-by-step explanation:
Hope it helps. Sorry if it's wrong.
write an equation that represents the data in the table:
x - 5, 10, 15, 20
y - 17, 22, 27, 32
Answers
Which quadratic equation is equivalent to (x + 2)2 + 5(x + 2) – 6 = 0?
(u + 2)2 + 5(u + 2) – 6 = 0 where u = (x – 2)
u2 + 4 + 5u – 6 = 0 where u = (x – 2)
u2 + 5u – 6 = 0 where u = (x + 2)
u2 + u – 6 = 0 where u = (x + 2)
Answers
Answer:
we have
(x+2)^{2} +5(x+2)-6=0(x+2)
2
+5(x+2)−6=0
Let
u=(x+2)u=(x+2)
Substitute in the expression
(u)^{2} +5(u)-6=0(u)
2
+5(u)−6=0
therefore
the answer is
(u)^{2} +5(u)-6=0(u)
2
+5(u)−6=0 is equivalent to (x+2)^{2} +5(x+2)-6=0(x+2)
2
+5(x+2)−6=0
Select “Rational” or “Irrational” to classify each number.
Answers
The diagram shows a square pizza box with side lengths of 12 inches. In the box is a circular pizza with a radius of 5 inches. What is the difference between the area of box and the pizza?
Use π = 3.14 and round your answer to the nearest hundredth.
Answers
Nevermind give the points to the another guy
Step-by-step explanation:
the area of the box (as a square) is
side length × side length = side length ²
that is here 12² = 144 in²
the area of a circle is
pi×r²
that is here
pi×5² = pi×25 = 3.14×25 = 78.50 in²
the difference is
144 - 78.5 = 65.50 in²