Answers
Answer:
a) 4x -3y ≥ -24
b) 2x +3y ≥ -12
c) 4x -3y ≤ 12
d) 2x +3y ≤ 24
Step-by-step explanation:
All of the given points are on the axes, so it is useful to know the intercept form of the equation for a line is ...
x/a +y/b = 1 . . . . . . where a is the x-intercept and b is the y-intercept.
a)The boundary line for the first side is ...
x/-6 +y/8 = 1
4x -3y = -24 . . . . . . multiply by -24 to put in standard form
The graph shows the quadrilateral is to the right of this line, so its inequality is ...
4x -3y ≥ -24
__
b)The boundary line for side 2 has equation ...
x/-6 +y/-4 = 1
2x +3y = -12 . . . . . multiply by -12
The quadrilateral is to the right of this line, as well, so its inequality is ...
2x +3y ≥ -12
__
c)We can see from the graph that the x-intercept of the boundary line for side 3 is x=3. The equation for that boundary line is ...
x/3 +y/-4 = 1
4x -3y = 12
The quadrilateral is to the left of this line, so its inequality is ...
4x -3y ≤ 12
__
d)Apparently, side 4 is intended to use points already given. We assume it passes through (6, 4) and (0, 8). This boundary is parallel to side 2, so will have the same equation, but with a different constant.
2x +3y = 2(0) +3(8) = 24
The quadrilateral is to the left of this line, so its inequality is ...
2x +3y ≤ 24
__
The second attachment shows a graph of the four inequalities with their shading.
_____
Additional comment
All of the inequalities are written in standard form, so the x-coefficient is positive for all of them. The direction of the inequality symbol can be chosen to select values of x that are greater than or less than those on the boundary line. If the shading is to be to the right, then larger x-values are required, and the inequality will have the form ax + by ≥ c (a > 0). If shading is to the left, then smaller x-values are required, and the inequality symbol points in the other direction.
The figure is a parallelogram, not a rectangle.
Related Questions
Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.
Answers
The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
The given parameters are:
[tex]a = 12000[/tex] --- the initial value of the car
[tex]r = 12\%[/tex] -- the loss per year
The estimation is an illustration of an exponential function.
An exponential function is represented as:
[tex]y = a(1 -r)^x[/tex]
Rewrite as a function
[tex]f(x) = a(1 -r)^x[/tex]
Substitute values for (a) and (r)
[tex]f(x) = 12000(1 -12\%)^x[/tex]
Express 12% as decimal
[tex]f(x) = 12000(1 -0.12)^x[/tex]
Subtract 0.12 from 1
[tex]f(x) = 12000(0.88)^x[/tex]
The graph of f(x) has a horizontal asymptote at x = 0.
Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.
Read more about exponential functions at:
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Billy likes to go cycling.
His bike has wheels of diameter 80 cm.
He has a counter on his bike which
counts the number of revolutions
the wheels make.
One day the counter shows 350 revolutions.
How far has Billy cycled?
Give your answer to the nearest metre.
Answers
Answer:
560 metres
Step-by-step explanation:
80 cm in metres is 0.8 metres.
After 1 revolution any point on the wheel will be back to the original position before moving. 0.8 times 2, which gives us 1.6 metres. In 1 revolution the bike travels 1.6 metres.
Now 1.6 metres times 350 gives us 560.
So the answer is 560 metres.
The Sea Lions are facing off against The Otters in fantasy football. The Sea Lions scored -12 points this
week The Otters scored -17 points this week
Which one of the following inequalities correctly compares the scores?
Choose 1 answer:
-17> -12
8
B
-12 > -17
Which one of the following descriptions is correct?
Choose 1 answer:
Answers
Answer:
the answer is b -12 is closer to being a positive number making it worth more than -17. so you're answer would be -12>-17
Choose a midsegment of LJK.
A)LO
B)MK
C)OM
D)LN
Answers
Answer:
B
Step-by-step explanation:
that's my answer hope it helps ✨
The mid segment can be MK or LO or LN.
What is Mid segment?The line segment that joins the midpoints of two triangle sides is known as a midsegment. Each triangle has three midsegments since a triangle has three sides. A triangle's midsegment is half the length of the third side and runs parallel to the third side of the triangle.
Given:
We know that the Midsegment is generally formed by the mid points of the line.
But, for Mid Segment of LJK we can write
Mid Segment= 1/2 x Triangle Base
= 1/2 x JK (or LK or LJ)
= MK or LO or LN
Hence, the mid segment can be MK or LO or LN.
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What is the slope of the line?
I really need help
Answers
Slope
m=(2-0)/1+2m=2/3Simplify.
4x2+2xx2+x−28x2+4x3x2+10x+8
Answers
Answer:
3x+4/2(x-1)
Step-by-step explanation:
Took the test
What do we do when we cite evidence?
Give a quote from the text
Explain evidence
Give your argument
Tell a joke
WILL MARK BRAINLY NO BOTS
Answers
Answer:Citing textual evidence requires students to look back into the text for evidence to support an idea, answer a question or make a claim. Citing evidence requires students to think more deeply about the text, analyze the author, source etc.
Step-by-step explanation: u havent given the text but i hope this helps
brainliest?
If IK and LN are parallel lines and M
Answers
Answer:
40°
Step-by-step explanation:
Both angles are opposites so together they equal 180.
180 - 140 = 40
I hope this helps!!
The measure of angle IJM is 40°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given are two parallel lines IK and LN.
From the figure, OH is a transversal line that intersects the given parallel lines.
We have m ∠IJH = 140°
We have to calculate the measure of ∠IJM.
Since ∠IJH and ∠IJM are the pair of linear angles, the sum of their angles is 180°.
m ∠IJH + m ∠IJM = 180°
140° + m ∠IJM = 180°
m ∠IJM = 180° - 140°
m ∠IJM = 40°
Hence 40° is the measure of angle IJM.
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Find the measures of the missing
angles of the right triangles below.
36°
a
b
с
Answers
Answer:
a = 54, b = 54, c = 36
Step-by-step explanation:
a + 90 + 36 = 180
a = 180 - 90 - 36
a = 54
b is the same as A
c + b (which is 54) + 90 = 180
c + 54 + 90 = 180
c = 36
HELP. RIGHT NOW PLEASE :>
Simplify
Answers
Answer:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
Step-by-step explanation:
√
4
x
5
√
(
x
−
1
)
2
−
3
2
+
3
y
−
3
3. Solve the equation shown below for x.
6(x - 1) = 42
Answer:
Answers
Answer:
x=8
Step-by-step explanation:
open the brackets to be
6x-6=42
then collect like tems
6x=48
x=8
What is the answer for the explanation
Answers
Answer: You cannot figure out the value without any measurements or tools for that matter.
Step-by-step explanation:
Im blue ba da de ba da da
In which of the following numbers does the digit 2 represent tens? *
2517
342
720
518.2
Answers
Answer:
720
Step-by-step explanation:
The digit 2 is the second digit left of the decimal point in the number ...
720
_____
2517 --- 2 is in the thousands place
342 --- 2 is in the ones place
720 --- 2 is in the tens place
518.2 --- 2 is in the tenths place
4. Match these equation balancing steps with the description of what was done in each step.
Step 1:
12x−6 =10 6x−3 =5
Step 2:
6x−3 =5 6x =8
Step 3:
6x =8 x =43
Descriptions to match with each step:
A: Add 3 to both sides
B: Multiply both sides by 16
C: Divide both sides by 2
Answers
Answer:
step 1 - C.
step 2 - A.
step 3 - B.
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answers
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
An athlete trains by swimming 3/5 miles in 1 day.
Which expression shows how many miles he would swim in 7 days?
Answers
Answer:
3/5 x 7
Step-by-step explanation:
The athlete swims 3/5 miles per day, and in 7 days, he swims the amount of 3/5 per the swimming session he does, so it will be 3/5x7.
Given the word FAMILY, find the number of ways you can arrange with all letters
Answers
Answer:
That's impossible to make another word with all those letters used together.
But 5 letter words like filmy and flamy
and 4 letter words like film, flam, amyl, flay, limy, alif, fail, fila, mail, and mali.
And 3 letter words like fly, fay,may, yam, fil, lam, mil, aim, ami, lay, mai, and ail
and 2 letter words like my, am, fa, fi, if, ma, mi, ay, ya, yi, al, la, li, and ai.
It's not impossible
I Hope I Had HELPED You :)
SO there is 39 different ways to make other words with the letters you have given me.
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
The number of ways that can be arranged with all letters is 720.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The factorize formula for n.
n! = n(n - 1)(n - 2)(n - 3).......1
FAMILY
The number of ways that can be arranged with all letters.
The number of letters in the word FAMILY.
= 6
The number of ways.
= 6!
= 6 x 5 x 4 x 3 x 2 x 1
= 730 ways.
Thus,
The number of ways that can be arranged with all letters is 720.
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Solve using substitution.
3x + 2y = -13
X – 9y = 15
Answers
Answer:
Step-by-step explanation:
x = 7/11, y = -16/11
write the decimal 4.005 as a fraction in the simplest form
Answers
2) Mulitply both numerator and denominator by 10 for every number after the decimal point
4.005x1000/1x1000 = 4005/1000
reducing the fraction gives
801/200
Steps to convert decimal into fraction
Write 4.005 as
4.005
-----------
1
Multiply both numerator and denominator by 10 for every number after the decimal point
4.005 × 1000
---------------------
1 × 1000
=
4005
-----------
1000
Reducing the fraction gives
801
--------
200
I think that font up there might not be that understandable, so I got a picture for ya!
0.25(x + 4) - 3 = 28
Answers
Answer:
x = 120
Step-by-step explanation:
0.25(x + 4) - 3 = 28
Multiply 0.25 into the parenthesis
0.25x + 1 - 3 = 28
Combine like-terms
0.25x - 2 = 28
Add 2 to both sides
0.25x = 30
Divide both sides by 0.25
x = 120
0.25(x+4)-3=28
0.25x+1-3=28
0.25x-2=28
0.25x=30
x=120
PLEASE ANSWER!!
STEP BY STEP
In hockey standing, I went out for two points, takeout for one point and I lost count for zero points. And the first time games, the devil 15, last four and tied one game. If they continues at the same rate, how many points do they have accumulated after they have played a total of 80 games?
Answers
5. What are the slope and y-intercept of the graph of y= 30 + 5?
Answers
Solved previously.The altitude to the hypotenuse of a triangle with angles of 30 and 60 degrees is 3 units. What is the area of the triangle, in square units
Answers
Answer:
6√3 square units
Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are 1 : √3 : 2. Using this fact, we can find the lengths of the orthogonal sides of the triangle to be ...
3(2/√3) = 2√3 . . . . side AB in the attached figure
and
2·3 = 6 . . . . . . . . . . side AC in the attached figure
Then the area of the triangle is ...
A = 1/2bh
A = 1/2(6)(2√3) = 6√3 . . . . square units
Students at Hampton Middle School sold T-shirts as a school fundraiser. Sylvie asked 12 random seventh-grade students how many T-shirts they sold for the fundraiser. The number of T-shirts each student sold is listed below. 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7 What is the mean of the data set rounded to the nearest tenth? 4. 0 shirts 4. 1 shirts 4. 5 shirts 4. 9 shirts.
Answers
Using it's formula, it is found that the mean of the data set is of 4.1 shirts.
The mean of a data-set is the sum of all observations divided by the number of observations.In this problem, the 12 observations are: 3, 4, 8, 5, 2, 5, 0, 5, 3, 4, 3, 7
Hence:
[tex]M = \frac{3 + 4 + 8 + 5 + 2 + 5 + 0 + 5 + 3 + 4 + 3 + 7}{12} = 4.1[/tex]
The mean of the data set is of 4.1 shirts.
For more on the mean of a data-set, you can check https://brainly.com/question/24628525
Please Help ill give brainliest!!!! Help ASAP
Question: Whose puppy gained weight the slowest? How much did it gain per week?
Answers
Answer:
Camille's puppy becuase it gains about half a pound per week
Step-by-step explanation:
Answer:
Camille's puppy because it gains about half a pound per week
Step-by-step explanation:
brainliest please?
which option has the greater slope
A.y=3x+2
B the picture below
I REALLY NEED HELP ON THIS QUESTION I WILL MARK YOU BEAINLIEST!!!!
Answers
Answer:
A. Y=3x+2
Step-by-step explanation:
Y=mx+c
m - slope coefficient of x
and so you can easily find the slope if you are asked directly like this seen in option A.
the picture has a value of X2=-3 , X1=3 & Y1=3 Y2= 1
m = Y2 - Y1 / X2 - X1 = 1-3/-3-3 = -2/-6 = 1/3.
as you can now see, the slope from the pic which is 1/3 is less than that of option A.
Mrs. Byrne washed
2
7
of her laundry. Her son washed
1
4
of it. Who washed most of the laundry? How much of the laundry still needs to be washed?
Answers
Answer:
Mrs. Byrne washed more
Step-by-step explanation:
Please help me with this
Answers
Answer:
8 3/42, 34 1/2, 11 1/49 3/4, 16 1/4Y/B = 2/3Step-by-step explanation:
a)The first line is simply the sum of the two given numbers.
3 1/2 +5 1/4 = (3+5) +(2/4+1/4) = 8 3/4
__
To find values on the remaining lines, it is convenient to find the ratios of the numbers involved. The ratio of yellow to blue is ...
Y/B = (3 1/2)/(5 1/4) = (7/2)/(21/4) = (7/2)(4/21) = 2/3
Then ...
Y : B : total = 2 : 3 : 5
This tells you the numbers on the second line are ...
Y = 2; B = 3
__
The value for B on the third line is the basic ratio number multiplied by (6 3/4)/3 = 2 1/4. Then the other two numbers are ...
Y = 2(2 1/4) = 4 1/2
total = 5(2 1/4) = 11 1/4
__
The value for Y on the fourth line is the basic ratio number multiplied by (6 1/2)/2 = 3 1/4. Then the other two numbers are ...
B = 3(3 1/4) = 9 3/4
total = 5(3 1/4) = 16 1/4
_____
b)The equation is the one we used to find the values on the second line:
Y/B = 2/3
Pythagorean Theorem Question! Please help
Answers
Answer:
It is the fourth one.
Step-by-step explanation: You use it to find it to see if it is a right triangle.
if I have five candies from the box containing 9 candies I ate 5/9 of all candies so 5 is what part of 9 is 3
Answers
Answer: 1/3?
Step-by-step explanation:
The wording is a bit confusing. ". . . so 5 is what part of 9 is 3 . ." seems to be missing some portion of the sentence.
You ate 5/9 of the candies. There were 9 and you consumed 5. I don't know what you are asking in " . . what part of 9 is 3." 3 is 3/9, or 1/3.