Answers
Your Y-intercept (0, y), you plug in the y value as B. M is where you put your slope.
So for the second one (top right), you have a Y-int of -2 or (0, -2) and a slope/m of 1/1 = 1. So your equation would be y = 1x - 2 or y = x - 2.
Related Questions
The area of a rectangle is 44 ft2 , and the length of the rectangle is 3 ft less than twice the width. find the dimensions of the rectangle.
Answers
Length: 2x-3
44=(x)(2x-3)
44=2x²-3x
0=2x²-3x-44
0=(2x-11)(x+4)
x=+11/2 or x=-4
Since dimensions cannot be negative, we have to use 11/2 or 5.5
The Width is 5.5ft , length is (2(5.5)-3)=8 ft
Hope I helped :)
Final answer:
To find the dimensions of a rectangle where the length is 3 ft less than twice the width and the area is 44 ft², we use the relationship between the width and length to set up a quadratic equation. After solving for the width, we use that width to find the length and confirm that the area is correct.
Explanation:
To find the dimensions of the rectangle with an area of 44 ft2, we need to set up an equation based on the given relationships. Let's denote the width of the rectangle as w and the length as l. According to the problem, the length is three feet less than twice the width, so we have l = 2w - 3. The area of the rectangle is the product of its width and length, so the equation to calculate the area is w × l = 44. Substituting the expression for l into this equation yields w × (2w - 3) = 44.
Solving this quadratic equation, we distribute the width and get 2w2 - 3w = 44. By moving all terms to one side, we have 2w2 - 3w - 44 = 0. Factoring the quadratic equation or using the quadratic formula will result in two values for w, where one will be the width and the corresponding l will be the length when plugged into l = 2w - 3.
Let's find the dimensions:
Width: wLength: 2w - 3Once the values are calculated, we can confirm that the width and length provide an area of 44 ft2.
Therefore, the width of the rectangle is w= 5.5 feet.
Now, we can find the length (l):
l=2w−3=2(5.5)−3=11−3=8
So, the length of the rectangle is l=8 feet.
Sunitha is 24 years older than her daughter kavitha. 6 years ago Sunitha was thrice as old as Kavitha. Find their present ages
Answers
Sorry my answer is wrong. This is their ages 6 years ago.
Therefore Sunitha is 42 and her daughter is 18.
Please look at apologiabiology working out for soultions
k=kavitha's age
s is 24 older than k
s=24+k
6 years ago (s-6 and k-6), sunitha was thrise as old as kavita
s-6=3(k-6)
subsitute 24+k for s
24+k-6=3(k-6)
k+18=3(k-6)
distribute
k+18=3k-18
minus k both sides
18=2k-18
add 18 both sides
36=2k
divide by 2 both sides
18=k
sub back
s=24+k
s=24+18
s=42
sunitha is 42 years old
kavita is 18 years old
David gained 16 pounds over the winter. he went on a diet and lost 25 pounds. then he regained 4 pounds and weighed 177 pounds. how much did he weigh originally?
Answers
x+16-25+4 = 177
x-5=177
x= 177+5= 182 pound
David's original weight was 182 pounds, as we determined by retracing his weight changes in reverse order.
Explanation:To find out how much David originally weighed, we need to work backwards from his ending weight, taking his weight changes into account. Currently David weighs 177 pounds. However, before gaining the last 4 pounds, he would have weighed 177 - 4 = 173 pounds.
Going back further, before losing 25 pounds, he would have weighed 173 + 25 = 198 pounds. Finally, before David gained 16 pounds over the winter, his original weight would have been 198 - 16 = 182 pounds.
So, David's original weight was 182 pounds.
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If you run a 10 kilometer race in 43 minutes 30 seconds, what is your average time per mile? what is your average speed in miles per hour?
Answers
Which is a secant?
CT
MH
CD
Answers
The secant in the given figure is:
CD
Step-by-step explanation:We know that in geometry a secant is a line that intersect the circle or any curve in atleast two distinct points.
Here we have a curve as a circle.
Hence, the secant is: CD
( Also MH is not a secant since it does not intersect the curve at any point.
Also CT is not a secant because it is not a line, it is a line segment although it intersect the curve at two distinct points )
What are the x and y-intercepts of the line described by the equation?
−6x+3y=18.9
Enter your answers, in decimal form, in the boxes.
x-intercept =
y-intercept =
What is the point slope form of the line with slope −14 that passes through the point (−2, 9) ?
A. y−2=−14(x+9)
B. y+2=−14(x−9)
C. y−9=−14(x+2)
D. y+9=−14(x−2)
which ordered pairs are solutions to the inequality y− 4x ≥−5 ?
Select each correct answer.
(4, 0)
(1, −1)
(−4, 2)
(−2, 1)
(5, −2)
Answers
-6x + 3(0) = 18.9
-6x = 18.9
x = 18.9 / -6
x = -3.15 <-- Your x-intercept is (-3.15,0)
To find the y-intercept, substitute in 0 for x and solve for y.
-6(0) + 3y = 18.9
3y = 18.9
y = 18.9/3
y = 6.3 (0,6.3) <-- Your x-intercept is (0,6.3)
If this helped, please mark me brainliest, thank you and if you need more help, feel free to message me!
The x-intercept of the line −6x+3y=18.9 is −3.15, and the y-intercept is 6.3. The point-slope form of the line with slope −14 passing through (-2, 9) is y−9=−14(x+2). The ordered pairs that solve the inequality y∓4x≥−5 are (1, −1), (−4, 2), and (−2, 1).
Explanation:To find the x-intercept and y-intercept of the line described by the equation −6x+3y=18.9, we can set each variable to zero in turn and solve for the other:
For the x-intercept, set y = 0:−6x = 18.9 → x = 18.9 / (−6) → x = −3.15For the y-intercept, set x = 0:
3y = 18.9 → y = 18.9 / 3 → y = 6.3
Therefore, the x-intercept is −3.15 and the y-intercept is 6.3.
For the point-slope form of the line with slope −14 that passes through the point (−2, 9), we use the formula y – y1 = m(x – x1), where m is the slope and (x1, y1) is the point the line passes through. This gives us:
y – 9 = −14(x – (−2)) → y – 9 = −14(x + 2)
The correct option is C. y – 9 = −14(x + 2).
To determine which ordered pairs are solutions to the inequality y – 4x ≥ −5, we test each pair by substituting the x and y values into the inequality:
(4, 0): −4 – 4(4) ≥ −5 → −4 – 16 ≥ −5 is false.(1, −1): −1 – 4(1) ≥ −5 → −1 – 4 ≥ −5 is true.(−4, 2): 2 – 4(−4) ≥ −5 → 2 + 16 ≥ −5 is true.(−2, 1): 1 – 4(−2) ≥ −5 → 1 + 8 ≥ −5 is true.(5, −2): −2 – 4(5) ≥ −5 → −2 – 20 ≥ −5 is false.The ordered pairs that are solutions to the inequality are (1, −1), (−4, 2), and (−2, 1).
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Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dishes, so Phineas orders 185 of them. The lab uses 12 petri dishes each day.Explain how you would write a two-variable linear equation for this situation.
Answers
12x+by=185
answer is 12x+y=185
the equation for a two variable equation is ax +by = r
r would be the total number of petri dishes ordered
so you have ax + by = 185
ax would be the number of dished used times x number of days = 12x
so you now have 12x + by = 185
b is unknown so the equation becomes 12x +y = 185
The length of a rectangle is 2 in. more than twice its width. if the perimeter of the rectangle is 28 in., find the dimensions of the rectangle.
Answers
Width = w
Perimeter = 2length + 2width
28 = 2(2+w) + 2(w)
28= 4+ 2w + 2w
24= 4w
6 =w
width =6
length = 8
is 2xy = -8 a function
Answers
You can find a value of x and a value for y that would make that true, so YES it is a function.
Example:
2(2)(-2) = -8
The equation 2xy = -8 is a rectangular hyperbola which is an example of the function.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
When the transverse and conjugate axes of a hyperbola are both the same length, the diagnosis and appropriate are said to be rectangular.
The equation is given below.
2xy = -8
Separate the variable 'y', then we have
2xy = -8
xy = -4
y = -4/x
The equation 2xy = -8 is a rectangular hyperbola which is an example of the function.
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What is the coefficient of x7 in the expansion of (1 + x)11?
Answers
11C(something)(1)(x)⁷ ----> This gives the coefficient of x⁷
11C7(1)⁴(x)⁷ ----> You know that pascal's triangle is equal on both sides
11C7×1⁴ = coefficient of x⁷ (just ignore x⁷)
330x1⁴=330
This means that the coefficient of x⁷ is 330. You can double check by expanding the equation. If you do not understand what I did there, you can ask me how I got to the solution.
Hope I helped :)
Final answer:
Using the binomial theorem, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is found by calculating '11 choose 7', which is 330.
Explanation:
The coefficient of x⁷ in the expansion of (1 + x)¹¹ can be found using the binomial theorem. To find the coefficient of x⁷, we look for the term that comes from choosing x seven times in the expansion. This corresponds to the 8th term, because the terms are indexed from 0, where the binomial coefficient is found by calculating "11 choose 7" or C(11, 7).
To calculate "11 choose 7", use the formula:
C(n, k) = n! / [k!(n-k)!], which gives us:
C(11, 7) = 11! / [7!(11-7)!] = 11! / (7!4!) = (11×10×9×8) / (4×3×2×1) = 330
Therefore, the coefficient of x⁷ in the expansion of (1 + x)¹¹ is 330.
Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?
Answers
Answer:
Step-by-step explanation:
Y = total weight of books
X = number of books
6 = weight (in ounces) of 1 book
total weight of books = weight of books x number of books
Y = 6X
Answer:
Only 0,0 You don't order negative numbers of books which eliminates the first two pairs. And you don't order 1/2 a book which eliminates the last pair.
Step-by-step explanation:
If you order 0 shirts they will weight 0 ounces is the only viable solution.
Each face of a pyramid is an isosceles triangle with a 82° vertex angle. What are the measures of the base angles? PLZ help
WILL GIVE BRAINLIEST
Answers
base angles are 49°
The value of the base angle will be 49 degrees.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
A vertex is an angle that is connected to a vertex of an n-dimensional polytope in geometry. It refers to the angle created by two lines colliding in two dimensions.
Given that each face of a pyramid is an isosceles triangle with an 82° vertex angle.
The base angle will be calculated by using the formula below:-
Base angles = (180°-vertex)/2=(180-82)/2
Base angles = 98/2=49°
Base angles = 49°
Therefore, the value of the base angle will be 49 degrees.
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Nicole deposits $2,136 in a savings account paying 5.36% interest. To the nearest dollar, how much money does Nicole have in total after nine years?
a.
$213
b.
$1,030
c.
$1,272
d.
$3,166
Answers
9($2,136 × 0.0536)
Now, you would solve it using the distributive property (PEMDAS). You would start in the parenthesis.
9($2,136 × 0.0536)
9 × 114.4896 = $1,030.4064
Your answer, rounded, would be $1,030.
I hope this helps!
Answer:
its D (just did it)
Step-by-step explanation:
In the above figure, ∠AOB = 80°. What does ∠ACB equal?
A. 80°
B. 10°
C. 160°
D. 40°
Answers
ACB would be half of AOB
80/2 = 40
answer is D 40 degrees
A ship leaves port at 1:00 p.m. and travels s35°e at the rate of 26 mi/hr. another ship leaves the same port at 1:30 p.m. and travels s20°w at 20 mi/hr. approximately how far apart are the ships at 3:00 p.m.?
Answers
solve the system
x+3y=5
x+4y=6
A) (2,1)
B) (1,5)
C) (8,-1)
D (11,-2)
Answers
x + 4y = 6
x + 3y = 5
Subtract the two equations.
You get y = 1.
The only answer with a value of y = 1 is A
A is your answer.
Have a nice day! :)
Answer:
A(2,1)
Step-by-step explanation:
We are given that system of equation
[tex]x+3y=5[/tex]
[tex]x+4y=6[/tex]
We have to solve the system
Subtract equation first from equation second
Then, we get
[tex]y=1[/tex]
Substitute the value of y in equation I
Then, we get
[tex]x+3(1)=5[/tex]
[tex]x=5-3=2[/tex]
Hence, the option A is true.
Answer:A(2,1)
If y=x+2 were changed to y=x-1 how would the graph of the new function compare with the first one
Answers
Answer: C shifted down :)
Answer:
it would be shifted down
Patricia donated 1 pint of blood to the blood bank.The lab assistant divided patricia's blood equally into 3 bags.How much blood was in each bag?
Answers
Each bag contained [tex]\(\frac{1}{3}\)[/tex] pint of blood.
To solve the problem, we need to divide the total amount of blood donated by Patricia equally into 3 bags. Patricia donated 1 pint of blood.
Since there are 3 bags, we divide 1 pint by 3 to find out how much blood is in each bag. The division is straightforward:
[tex]\[ \frac{1 \text{ pint}}{3 \text{ bags}} = \frac{1}{3} \text{ pint per bag} \][/tex]
Therefore, each bag contains [tex]\(\frac{1}{3}\)[/tex] pint of blood. This is the simplest form of the fraction, and there is no need to convert it to a different unit or simplify it further. The answer is [tex]\(\frac{1}{3}\)[/tex] pint per bag.
What is the simplified form of the expression? -(4)^-2
Answers
Answer:
The given expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]
Step-by-step explanation:
Given : Expression [tex]-\left(4\right)^{-2}[/tex]
We have to write the simplified form of the given expression [tex]-\left(4\right)^{-2}[/tex]
Consider the given expression [tex]-\left(4\right)^{-2}[/tex]
Apply exponent rule , [tex]\:a^{-b}=\frac{1}{a^b}[/tex]
[tex]4^{-2}=\quad \frac{1}{4^2}[/tex]
[tex]\frac{1}{4^2} =\frac{1}{16}[/tex]
Thus, The given expression [tex]-\left(4\right)^{-2}[/tex] becomes [tex]-\frac{1}{16}[/tex]
Part 1:Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why? Part 2: Give an example of how prime factorization could be used in the real world. Part 3: View and comment on the work of at least two other students. Explain why you agree or disagree with their ideas.
Answers
Answer: No.
Is it possible for a number to have no prime factors? Why?
Answer: Yes. The number 1 has no prime factors, and 1 is not prime.
Part 2: Give an example of how prime factorization could be used in the real world.
Answer: A carpenter needs to add two lengths to cut a piece of wood. One length is 5 1/16 inch, and the other length is 3 3/10 in. By using prime factors of 16 and 10, he can find the least common denominator of 16 and 10, and he can add the lengths together.
A composite number has only one prime factorization, and 1 is the only number without prime factors. Prime factorization plays a crucial role in cryptography. Peer work review would focus on understanding and accuracy but cannot be provided without specific student examples.
No, a composite number cannot have more than one prime factorization due to the Fundamental Theorem of Arithmetic, which states that every integer greater than 1 either is a prime number itself or can be factored into prime numbers in exactly one way, ignoring the order of the factors. On the other hand, the only number that has no prime factors is 1, as it is neither prime nor composite.
One real-world application of prime factorization is in cryptography, particularly in algorithms like RSA, which is used to secure data transmission over the internet. The difficulty in factoring large numbers into primes is what makes this method effective for encrypting sensitive information such as credit card numbers.
Without specific examples of the work of other students, it is not possible to provide a review. Typically, when reviewing peer work, one would assess the correctness of their understanding of prime factorization and its application in real-world scenarios, as well as the clarity and accuracy of their explanations.
Consider the function f(x)=−23x+2f(x)=−23x+2 . What is f(12)f(12) ? Enter your answer, as a simplified fraction, in the box
Answers
f(12)= -274
Answer:
If the function is [tex]f(x)=-23x+2[/tex], then the value of f(12) is -274.
Note: If the function is [tex]f(x)=-\frac{2}{3}x+2[/tex], then the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].
Step-by-step explanation:
The given function is
[tex]f(x)=-23x+2[/tex]
Put x=12,
[tex]f(x)=-23(12)+2=-274[/tex]
It is not a fraction value.
Note: If the given function is
[tex]f(x)=-\frac{2}{3}x+2[/tex]
We have to find the value of [tex]f(\frac{1}{2})[/tex].
Put [tex]x=\frac{1}{2}[/tex] in the given function.
[tex]f(\frac{1}{2})=-\frac{2}{3}(\frac{1}{2})+2[/tex]
[tex]f(\frac{1}{2})=-\frac{1}{3}+2[/tex]
[tex]f(\frac{1}{2})=\frac{-1+6}{3}[/tex]
[tex]f(\frac{1}{2})=\frac{5}{3}[/tex]
Therefore the value of [tex]f(\frac{1}{2})[/tex] is [tex]\frac{5}{3}[/tex].
Tyrell does sit-ups every day. On Monday, he did 4 sit-ups. On Tuesday, he did 8 sit-ups, and on Wednesday, he did 12 sit-ups. Based on the pattern, make a conjecture about the number of sit-ups he will do on Friday.
Answers
Answer: 20 sit ups.
Step-by-step explanation: if tyrell does situps everyday on monday he does 4 sit ups and tuesday 8 situps wendsday 12 situps thursday 16 situps friday 20 situps all u do to solve is add 4 every day.
your welcome.
Formulate the recursive formula for the following geometric sequence.
{-16, 4, -1, ...}
Answers
Answer: divide by -4
Step-by-step explanation:
What is the most precise classification of the quadrilateral?
F(-13, 7), I(1, 12), N(15, 7), E(1, -5)
Answers
The most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5) is a kite.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral. That quadrilateral in which opposite sides are parallel is called a parallelogram.
Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.
We are given that;
The points F(-13, 7), I(1, 12), N(15, 7), E(1, -5)
Now,
To determine the most precise classification of the quadrilateral defined by the points F(-13, 7), I(1, 12), N(15, 7), and E(1, -5), we need to use the properties of quadrilaterals and their classifications.
One way to classify a quadrilateral is by its sides and angles. Based on this classification, the quadrilateral can be classified as a kite. A kite is a quadrilateral with two pairs of adjacent sides that are equal in length, and the diagonals of a kite are perpendicular.
To see why the quadrilateral defined by F, I, N, and E is a kite, we can start by noting that FI and EN have equal length, as do IN and FE. Additionally, we can compute the lengths of the diagonals and check whether they are perpendicular.
The length of diagonal FN is sqrt(676+25)=sqrt(701), and
The length of diagonal IE is sqrt(256+49)=sqrt(305).
The product of the slopes of FI and EN is (12-7)/(1-(-13))*(1-(-5))/(1-15)=-5/4. This product is negative, indicating that the diagonals are perpendicular.
Therefore, the quadrilateral defined by F, I, N, and E is a kite.
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Final answer:
The most precise classification of the given quadrilateral formed by the coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) is a parallelogram.
Explanation:
The given coordinates (-13, 7), (1, 12), (15, 7), and (1, -5) form a quadrilateral. To determine the most precise classification of the quadrilateral, we need to analyze its properties.
Based on the given coordinates, we can see that opposite sides of the quadrilateral are parallel. The vectors formed by connecting the consecutive points are FI = (14, 5), IN = (14, -12), and NE = (-14, -12). These vectors have equal magnitudes, indicating that the quadrilateral is a parallelogram.
Therefore, the most precise classification of the quadrilateral is a parallelogram.
A fisherman separated 1/10 of his catch into 2 equal bins.What fraction is the entire catch was in each bin?A. 20/1 B. 5/1 C. 1/20 D. 1/5 Plz help me plz i need help with this right now.
Answers
1/10 divided by 2 is 1/20
Two sides of an equilateral triangle have lengths x+2 and -2x+20 Which could be the length of the third side: 14-x or 2x+4?
a. 2x + 4 only
b. both 14 - x and 2x + 4
c. 14 - x only
d. neither 14 - x nor 2x + 4
Answers
so we know that x+2 = -2x+20 because we're told that those are both lengths of the triangle's sides. let's solve for x.
x+2 = -2x + 20
add 2x to both sides.
3x + 2 = 20
subtract 2 from both sides.
3x = 18
divide both sides by 3.
x = 6
now, let's find the length of the sides. plug 6 into one side, which is x+2.
6+2 = 8. so each side's length must be equal to 8. let's just check to make sure we didn't make a mistake. if this is correct, then -2x + 20 should also = 8.
-2(6) + 20
-12 + 20
8.
so we know that the sides = 8. let's see if 14 - x or 2x+4 are equal to 8 when we plug in 6 for x.
14 - 6 = 8. so 14-x could be a length for a side.
2(6) + 4 = 12 + 4 = 16. so 2x + 4 can not be a length for a side.
the answer is 14 - x only, or C.
Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).
A. y = 5x + 29
B. y = –5x – 11
C. y= 1/5 x+1/6
D. y = 5x – 29
Answers
That's both option A and option D
Substitute (-6, -1) to find the value of the y-intercept
-1 = 5 * -6 + b
-1 = -30 + b
29 = b
So y = 5x + 29 (Option A)
The equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29. Then the correct option is A.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
Identify an equation in slope-intercept form for the line parallel to y = 5x + 2 that passes through (–6, –1).
The slope of the parallel lines is the same.
Then the equation will be
y = 5x + c
And the line is passing through (-6, -1), then the value of c will be
-1 = 5(-6) + c
c = 30 - 1
c = 29
Then the equation of line which is parallel to y = 5x + 2 and passing through (-6, -1) is y = 5x + 29.
Then the correct option is A.
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Hour hand of a watch rotates 30 degrees every hour, how many rotations makes in 6 days
Answers
Solve for the width in the formula for the area of a rectangle.
formulas
1. w = A - L
2. w = AL
3. w = L/A
4. w = A/L
Use the rewritten formula to find the width of a rectangle with an area of 42 square inches and a length of 16.8 inches.
1. 2.5 inches
2. 4.2 inches
3. 12.6 inches
4. 25.2 inches
Answers
A / L = W <==
when A = 42 and W = 16.8
A / L = W
42/16.8 = W
2.5 = W <=== width = 2.5 inches
W=A/L................
2.5 inches...........
A coach needs both small and large cones to set up an obstacle course. The coach knows that there are fewer than 30 cones in the storage room. The coach needs at least a dozen large cones.
Let x represent the number of small cones and y represent the number of large cones.
Which inequalities model the situation? Select each correct answer.
x+y≤30
x>0
x+y<30
y≥12
y>12
Answers
He needs AT LEAST a dozen (12), so that means that 12 will work or more than 12:
[tex]y \geqslant 12[/tex]
Answer: The correct options are,
x+y < 30
y ≥ 12
Step-by-step explanation:
Here, x represent the number of small cones and y represent the number of large cones.
∵ Large cones are at least 12,
⇒ y ≥ 12,
Now, total cones = x + y
∵ There are fewer than 30 cones,
I.e. x + y < 30,
Now, number of cones can not be negative,
⇒ x, y ≥ 0