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
Convert the binary number 10101 to its base 10 equivalent.
12
21
22
31
Answers
[tex]\\ \sf\Rrightarrow (10101)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+0\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+4+16[/tex]
[tex]\\ \sf\Rrightarrow (21)_{10}[/tex]
Done!
Find the unit rate. 400 cupcakes in 8 hours
Answers
Answer:
50 per hour
Step-by-step explanation:
Y= -2x+4 in function notation
Answers
Answer:
Hello!!!
[tex]y = - 2x + 4 \\ 0 = - 2x + 4 \\ 2x = 4 \\ x = 2[/tex]
Step-by-step explanation:
That is the answer :D
These steps are from a chemistry lab.
Assignment:
1. Pour 0.4 grams of salt into beaker A.
2. Add 20% of the salt from beaker A to beaker B.
3. Add 3 ounces of water to beaker B.
4. Stir the solution in beaker B.
Step 2 asks the student to pour 20%, or 0.2 of the 0.4 grams of salt from beaker A into beaker B. How many grams of salt will go into the beaker?
_______________ grams
Answers
Answer: The answer to this question is 0.08. I hope this helps!
Step-by-step explanation:
0.2 x 0.4 - 0 x 0 equals 0 - 2x4 equals 8 so that will give you 0.08
Stanley needs to purchase a cylindrical silo. He wants the radius to be 6 ft. The silo should hold 1700 cubic feet when full. How many feet tall must the slio be? Use 3.14 for Pi.
Answers
Answer:
15.03m
Step-by-step explanation:
h=V/πr2
h=1700/π·62
h≈15.0313
Hope that helps
Which polynomial is prime? x4 3x2 â€"" x2 â€"" 3 x4 â€"" 3x2 â€"" x2 3 3x2 x â€"" 6x â€"" 2 3x2 x â€"" 6x 3.
Answers
The polynomial [tex]3x^2+x-6x+3[/tex] is a prime because it is not factorized further and this can be determined by using the factorization method.
Check all the options in order to determine the given polynomial is prime or not.
A) [tex]x^4+3x^2-x^2-3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4+3x^2-x^2-3=(x+1)(x-1)(x^2+3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
B) [tex]x^4-3x^2-x^2+3[/tex]
Now, try to factorize the above polynomial.
[tex]x^4-3x^2-x^2+3=(x+1)(x-1)(x^2-3)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
C) [tex]3x^2+x-6x-2[/tex]
Now, try to factorize the above polynomial.
[tex]3x^2+x-6x-2=(3x+1)(x-2)[/tex]
The given polynomial is factorized further therefore, this polynomial is not a prime.
D) [tex]3x^2+x-6x+3[/tex]
The given polynomial is not factorized further therefore, this polynomial is is a prime.
For more information, refer to the link given below:
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Please help find these values.
Answers
Answer:
3. x=14° y=7
4. x=29° y=3
Step-by-step explanation:
3. this is a 45 - 45- 90 triangle
so the side is a-a-a√2 ( two sides are the same)
4y-3=10+2y+1 -- collect like terms
4y-2y=10+1+3
2y=14
y=7
find the angle of the inside triangle
180-59-90 =
31°
we know the big triangle was a 45-45-90 angle
so x+31=45
x=45-31
x=14°
4. this is a square, all sides are same
5y+3y=24
8y=24
y=3
angle is 90°
x+x+9y+5=90
we know y=3 --substitute
x+x+9(3)+5=90
2x+27+5=90
2x=90-27-5
2x=58
x=58/2
x=29
my Christmas present to you
Answers
Answer:
yay thx
Step-by-step explanation:
merry xmas
please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3
Answers
——————————————————
2x + 3
Answer:
3
Step-by-step explanation:
cool
Write an equation in slope-intercept form of the line that passes through the points.
Answers
Answer:
y=-2x
Step-by-step explanation:
M= y2-y1/x2-x1
= 6-0/-3-0
= 6/-3
= -2
when X is 0 Y is also so C is 0
What is the next fraction in this sequence? Simplify 3/14,2/7,5/14,3/7, its due today please help
Answers
The next fraction in the given sequence is; 7/14
We are given the sequence;
3/14, 2/7, 5/14, 3/7.
To get the next fraction in the sequence, we have to find the pattern of the differences.
Difference between first and second term is;
2/7 - 3/14 = 1/14
Similarly, for 2nd and 3rd term;
Difference = 5/14 - 2/7
Difference = 1/14
Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7
Next fraction = 3/7 + 1/14
Next fraction = 7/14
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What does: 8w+22=34 equal?
Answers
Answer:
3/2
HOPE I HELPEDD
Answer:
w= 1 1/2
I dont know if thats the question youre asking, if its not tell me.
write 2 equivalent expressions for each and find the total price the price of a belt is $30 the belt is makeup 60%
Answers
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answers
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
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Can someone help me please?? It’s due on thursday ❤️ (rotate picture if u can)
Answers
Answer: The two companies never charge the same amount to rent a bicycle for the same number of hours.
Simply the Expression.
Answers
x
10
There’s something wrong with the question re check it
Which variable is most important in this problem? Sal ordered 20 T-shirts for the graphic design club. After tax, the cost of each T-shirt was $25. How much did the T-shirts cost in all?
Answers
Find the x and y intercepts of each equation
Answers
Step-by-step explanation:
the y-intercept is the y value when x = 0.
the x-intercept is the x Banjul when y = 0.
now we only need to put the corresponding 0-value into the equations and calculate the other value.
a.
x = 0, y = 10
y = 0, x = 5 because
0 = 10 - 2x
2x = 10
x = 5
b.
x = 0, y = 2 because
9y = 18
y = 0, x = 18/4 = 9/2 because
4x = 18
c..
x = 0, y = -22 because
-2y = 44
y = 0, x = 44/6 = 22/3 because
6x = 44
3x = 22
d.
x = 0, y = -4/12 = -1/3 because
0 = 4 + 12y
y = 0, x = 4/2 = 2 because
2x = 4
x = 2
Please help with this I will mark you as brainliest
Answers
Answer:
The answer is t = 0.25
Step-by-step explanation:
Answer:
t = 0.25
Step-by-step explanation:
What is the slope of the line that passes through the points ( 5 , − 10 ) (5,−10) and ( 11 , − 12 ) ? (11,−12)? Write your answer in simplest form.
Answers
The slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
Recall:
The slope of a line passing across through two points can be calculated using: [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Given two points:
(5,−10) and ( 11 , − 12 )
Let,[tex](5,-10) = (x_1, y_1)\\\\( 11 , - 12) = (x_2, y_2)[/tex]
Substitute[tex]m = \frac{-12 - (-10)}{11 - 5}[/tex]
Slope (m) = -2/6
Slope (m) = -1/3
Therefore the slope of the line that passes through (5,−10) and ( 11 , − 12 ), in simplest form is: -1/3
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Find the composition of
transformations that
map ABCD to EHGF.
Reflect over the y-axis,
then translate
(x-2, y+[ ? ]).
Answers
Answer:
[(x + 6), (y + 1)]
Step-by-step explanation:
Vertices of the quadrilateral ABCD are,
A → (-5, 2)
B → (-3, 4)
C → (-2, 4)
D → (-1, 2)
By reflecting the given quadrilateral ABCD across x-axis to form the image quadrilateral A'B'C'D',
Rule for the reflection of a point across x-axis is,
(x, y) → (x , -y)
Coordinates of the image point A' will be,
A(-5, 2) → A'(-5, -2)
From the picture attached, point E is obtained by translation of point A'.
Rule for the translation of a point by h units right and k units up,
A'(x+h, y+k) → E(x', y')
By this rule,
A'(-5 + h, -2 + k) → E(1, -1)
By comparing coordinates of A' and E,
-5 + h = 1
h = 6
-2 + k = -1
k = 1
That means
Rule for the translation will be,
[(x + 6), (y + 1)]
For the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Graph transformation is the process by which a graph is modified to give a variation of the proceeding graph.
The graphs can be translated or moved about the xy-plane
After point D is reflected across the y-axis, its coordinates are
D(-1, 2) ⇒ D'(1, 2)
This is the point that gets translated to F(-3, -2). The translation is
F -D' = (-3, -2) -(1, 2)
= (-3-1, -2-2)
= (-4, -4)
Then the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
Hence, for the given graph, the translation rule is (x, y) ⇒ (x+(-4), y+(-4))
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What number makes the expressions equivalent? Enter your answer in the box. 12 (â€""1. 4m 0. 4) = m 0. 2.
Answers
The value of "m' that makes the expression equivalent is 0.2584
Given the expression 12 (–1.4m + 0.4) = m + 0.2
We need to solve for the value of m from the expression.
12 (–1.4m + 0.4) = m + 0.2Expand using the distributive law:
12(-1.4m) + 12(0.4) = m + 0.2
16.8m + 4.8 = m + 0.2
Collect the like terms:
-16.8m - m = 0.2 - 4.8
-17.8m = -4.6
m = 4.6/17.8
m = 0.2584
Hence the value of "m' that makes the expression equivalent is 0.2584
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Find the value of x so that the ratios are equivalent.
9:x and 54:8
Answers
Answer:1.33 (Repeated decimal)
Step-by-step explanation: Since 54/9 would give you 6, that would mean the scale factor would be 6. That means x multiplyed by 6 would give you 8. So, you would do 8/6 which would give you 1.333 (Repeated decimal) and this is your answer.
If AABC ~ ADEF, then which of the following must be true? Check all that apply.
Answers
Answer:
#1 and #3
Step-by-step explanation:
3.74 = 0.4n + 2.5
What value of n makes the equation TRUE?
Answers
3.74 = 0.4n + 2.5
3.74 - 2.5 = 0.4n
1.24 = 0.4n
n = 3.1
So the value of n which makes the statement true is 3.1
Hope this helps :)
The value of n for the equation to be true is n = 3,1
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be A , 3.74 = 0.4n + 2.5
Now ,
3.74 = 0.4n + 2.5
Subtracting 2.5 on both sides of the equation , we get
0.4n = 3.74 - 2.5
0.4n = 1.24
Divide by 0.4 on both sides of the equation , we get
n = 3.1
Therefore , n = 3.1
Hence , the value of n for the equation to be true is n = 3.1
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Use the scale to help you solve the equation.
Answers
Who ever can answer these three questions first I will give them a brainliest! Or two
Need help ASAP. Heeellllppppp ppplllllsss!!!
5. 6. And 7.
Answers
Answer:
mathemiatical porbs is is it itroon poickg niucer g tnt g hayabusa sanjo karaneteooo break the code
Step-by-step explanation:
the smiths want to fence their square garden, which has an area 256 square meters.
Questions 4, 5 and 6
PLEASE I NEED THIS ASAP
Answers
What is the formula for guess work pricing?
Answers
Answer:
What is the formula for pricing?
Retail Price = Cost of Goods + Markup. Markup = Retail Price – Cost of Goods. Cost of Goods = Retail Price – Markup.
Step-by-step explanation:
Which of the sets of ordered pairs represents a function?
A = {(3, −5), (4, 6), (3, 9), (2, 7)}
B = {(2, 4), (−1, 4), (5, 4), (4, 4)}
a
Both A and B
b
Only B
c
Only A
d
Neither A nor B
Answers
Answer:
B
Step-by-step explanation:
A does not represent a function because the x-value of 3 appears twice, and by the defenition of a function, the x-value cannot appear twice for it to be considered a function. B could be a function because the x-values are not repeated.
Therefore the answer is B, only B is a function.
