To identify the solutions in solving linear inequalities in two variables, you can first graph the equation on a coordinate plane. Then, you can use the boundary line to identify which regions of the plane satisfy the inequality.
Any points in the shaded regions will be solutions to the inequality. Additionally, you can use the boundary line to identify the points that are not solutions by finding the points that lie on the boundary line.
Example:
x + 2y ≥ 4
The graph of this inequality is a line with a slope of -2/1 and a y-intercept of 4/2. The line will be shaded on the side of the line containing the greater values, which in this case is the side containing the origin.
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Determine which relation is a function. {(0, 0), (1,−1), (2,−4), (3,−9), (4,−16)} {(2,−6), (2,−2), (2, 0), (2, 3), (2, 7)} {(2, 2), (1, 1), (0, 0), (1, −1), (2,−2)} {(3, 2), (4, 3), (5, −4), (5, 4), (6, 5)}
Answer:
1
Step-by-step explanation:
{(0, 0), (1,−1), (2,−4), (3,−9), (4,−16)}
Please help as soon as possible!
22. x=?
23. y=?
The unknown angles in the parallel lines are as follows;
x = 28
y = 23
How to find angles when parallel lines are cut by a transversal?When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.
using vertical angles and same side interior angles,
5y - 4 + 3y = 180 (same side interior angles are supplementary)
8y - 4 = 180
8y = 180 + 4
8y = 184
divide both sides by 8
y = 184 / 8
y = 23
Hence,
3y = 2x + 13(corresponding angles)
corresponding angles are congruent.
Hence,
3(23) = 2x + 13
69 - 13 = 2x
2x = 56
x = 56 / 2
x = 28
Therefore,
x = 28
y = 23
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A pronto lube garage charges £25 to lube any vehicle. Other work adds about €6000 per month to the
revenue. It costs pronto lube £6 in materials to service cars. Monthly operating expenses are €23,500.
2.1). Write an expression for net profit for C cars.
2.2). If the number of cars serviced in a particular month is 3000, find the profit
2.3). If the number of car serviced in a particular month is 900, then the garage got a
profit. True / false.
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
What is the equation?A formula for connecting two statements using the equal sign (=) to denote equivalence is known as a mathematical equation. A mathematical equation in algebra is a statement that proves the equality of two mathematical expressions. For instance, the formula 3x + 5 = 14 places an equal sign between the variables 3x + 5 and 14. The mathematical relationship between the two sentences on either side of a letter is established. Most of the time, the symbol serves as both the one and only variable. for instance, 2x – 4 = 2.
Here,
For C no of cars
=> Profit = total earning in a month - Expense in a month
=> (25-6)C - (23500-6000)
=> P = 19C-17500
If 3000 cars serviced then,
=> Profit = 19(3000)-17500
=> Profit = 39500
If no of cars received in particular month is 900 then profit or loss
=>Profit = 19(900)-17500
=> Profit = -400
That is loss.
Therefore , the solution of the given problem of equation comes out to be 1.39500 profit and 2.-400 loss.
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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
D
Step-by-step explanation:
use numbers from 1 to 13 you can only use 9 numbers. each row, column. and diagonal has to equal 27
Answer:12+13+2=27
Step-by-step explanation: pretty self-explanatory
This part two of the problem
Answer:
d seems like the only one that would be correct
Step-by-step explanation:
lmk if this is wrong
Mr cam bought 6 pizza for the che club if each of the 10 member ate 1/4 of the pizza how many pizza were eaten
The total number of pizzas consumed by the 10 members of the club is 2.5 and 3.5 pizzas remain, as Mr. Cam bought 6 pizzas and each of the 10 members ate 1/4 of a pizza.
Mr. Cam bought 6 pizzas for the club and each of the 10 members ate 1/4 of the pizza. To find out how many pizzas were eaten, we can use the formula:
Number of members x Pizza per member = Total Pizzas Consumed
In this case, we can substitute the given values in the formula:
10 members x 1/4 pizza/member = 10/4 = 2.5 pizzas
This means 2.5 pizzas were consumed by the members. Since Mr. Cam bought 6 pizzas and 2.5 pizzas were eaten, the total number of pizzas remaining is 6 - 2.5 = 3.5 pizzas.
This equation works because it uses the concept of the unitary method, where we find the total number of pizzas consumed by multiplying the number of members by the number of pizzas each member ate. This way we can find the total amount of pizza consumed.
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Give 2 numercial expressions that can be compared without calculating the values. Explain.
The numercial expressions that can be compared without calculating the values include:
3x^2 + 4x - 5 > 2x^2 + x - 3
2/x < 4/x
How to illustrate the expressionIn 3x^2 + 4x - 5 > 2x^2 + x - 3. This expression can be compared without calculating the values because it is a comparison of polynomials of the same degree (both are quadratics). The degree of a polynomial (in this case 2) is the highest power of the variable in the expression. Since the degree is the same, we can directly compare the coefficients of the highest degree term (x^2) and the second highest degree term (x) without calculating the values. In this case, 3x^2 > 2x^2 and 4x > x, therefore the polynomial on the left side is greater than the polynomial on the right side.
For 2/x < 4/x, this expression can be compared without calculating the values because it is a comparison of two different fractions, both of which have a common denominator of x^2. Since the denominators are the same, we can directly compare the numerators. In this case, 2 < 4, therefore the fraction on the left side is less than the fraction on the right side.
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10 POINTS. Answer please.
The two sets A and B triangle must have identical items, but this does not require that they be put in the same order for the sets to be equal.
Describe the triangle.A triangle is a 2D shape with three vertices, three straight edges, and three straight edges. A key feature of these shapes is that each type of triangle has three inner angles that add up to 180° in these designs. during their math lectures about these angles and how to use this quality to spot missing values.
Here,
Triangle 1 in this instance has two angles, one of 34 degrees and the other of 48 degrees.
The third angle is therefore 180-34- 48=98.
The angles in Triangle 2 are 34 and a, where an is 48, respectively.
In other words, the third angle is 180−34−a=146−a≠146−48=98.
Jennifer claims that given the information at hand, triangles 1 and 2 cannot be compared.
If 34,98,48=34,a,146a., they are equivalent.
How many degrees will Jennifer's claim be ruled untrue? To compare the triangles, use the formula a.
It is crucial to understand that while components in two sets A and B must match, the sets are not always equal if they are not listed in the same order.
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Simplify the expression: 9a + 6b - 4a + 3b
Answer:
5a + 9b
Step-by-step explanation:
Combine like terms
9a + 6b - 4a + 3b
- 4a + 9a = 5a
6b+3b=9b
so 5a+9b
Answer:
= 5a+9b
Step-by-step explanation:
hope this helps :)
4 Siobhan and Ralph shared £700 in the
ratio 2:3.
Siobhan gave a quarter of her share to Karen.
Ralph gave a fifth of his share to Karen.
What fraction of the £700 did Karen receive?
Therefore ,the solution to the given problem of proportion comes out to be karen got £70.
What is a proportion?The rule of three is used to link the measures because a proportion is a fraction of a total amount. It is possible to construct equation or relations between variables that are either direct (when both rise or decrease) or inverse proportional (when one increases and the other declines, or vice versa) in order to determine the necessary measures in the situation.
Here,
Given :
Siobhan and Ralph shared £700 in the
ratio 2:3.
Thus,
280 / 420 = 2/3
Thus,
Siobhan and Ralph has £280 and £420 respectively.
and Siobhan gave a share of quarter to karen :
So,
280/4 =70
Therefore ,the solution to the given problem of proportion comes out to be karen got £70.
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I will give 39 points to brainliest answer.
Answer:
where's the height?
Answer:
what is the answer i want to know i think its D
Find the volume of a right circular cone that has a height of 3.9 in and a base with a radius of 14.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
radius r = 3.9 in
height h = 14.3 in
slant height s = 14.822280526289 in
volume V = 227.76860897791 in3
lateral surface area L = 181.60571368226 in2
base surface area B = 47.783624261101 in2
total surface area A = 229.38933794336 in2
In Terms of Pi π
volume V = 72.501 π in3
lateral surface area L = 57.806894052526 π in2
base surface area B = 15.21 π in2
total surface area A = 73.016894052526 π in2
What is the height formula of isosceles triangle?
The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle.
The formula for finding the height of an isosceles triangle is h = (2*A)/b, where h is the height, A is the area of the triangle, and b is the base of the triangle. To use this formula, the area of the triangle must first be calculated. To do this, multiply the base of the triangle by its altitude, or the perpendicular distance from the base to the vertex opposite it. Once the area is known, the height of the triangle can be calculated by multiplying the area by two and dividing it by the base. This will give the height of the triangle. For example, if a triangle has a base of 5 and an area of 10, then the height of the triangle is (2*10)/5, or 4.
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What is the slope of a line that pass through the points (3,-2) and (5,-2)?
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{-2 +2}{2} \implies \cfrac{ 0 }{ 2 } \implies \text{\LARGE 0}[/tex]
Answer:
slope = 0
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, - 2 ) and (x₂, y₂ ) = (5, - 2 )
m = [tex]\frac{-2-(-2)}{5-3}[/tex] = [tex]\frac{-2+2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0
what is the measurement of angle 6
Answer: 59
Step-by-step explanation: angle 3 is equal to angle 6 and to find angel 3 do 180-121
In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm find the radiu of the circumcircle
In triangle abc, i the circumcenter bc i equal to 72cm d i equal to 15cm then the radiu of the circumcircle is 39
A chord is the line segment joining two points of the circumference of a circle as shown in the image attached.
If the chord is passing through the center of the circle then it will become diameter which means the diameter is the longest possible chord inside a circle.
A chord is always within the circumference because it is inside the circle.
Whats the definition of a circumference?
a line that goes around or encloses a circle. : the outer boundary of a figure or area. 3. : the distance around something. the circumference of the earth at the equator.
since ABC is an equilateral triangle
therefore SD bisects BC
BD= BC/2
BD= 36
IN Triangle ABC
since angle BDS = 90 degree
Therefore
BS = 39
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Simplify by using order of operations:
4+(9 x 2) divided by (4 - 1) -4
6x + 11= 21 tape diagram
Answer:
x = 5/3
Step-by-step explanation:
6x + 11 = 21
6x = 10
x = 10/6
x = 5/3
Let's check
6(5/3) + 11 = 21
30/3 + 11 = 21
10 + 11 = 21
21 = 21
So, x = 5/3 is correct!
por que el grado relativo de una EA no puede ser negativo
Answer:
La F se considera separada ya que denota una calificación reprobatoria y no es necesario que vaya en orden alfabético. Da la casualidad de que "fallar" comienza con una letra que se salta una letra alfabéticamente en la escala. Dicho esto, se usó E en un momento.
Step-by-step explanation:
What does P(vowel and even) mean?
Probability of getting a vowel or an even number
given that y=15-2x,copy and complete the table below giving the values of y for x=-4,0,4,8,12
Select the least common multiple of 6 and 8. OA 2 OB: 14 O C. 24 OD. 48
Answer:
C. 24
Step-by-step explanation:
The LCM is the least common multiple between two or more numbers.
6: 6, 12, 18, 24, 30, 36, 48, 54
8: 8, 16, 24, 32, 40, 48, 54, 64
24 is the smallest number both numbers have in common.
Therefore, 24 is the least common multiple.
simplify- -2w - 27 less then or equal to 12
Answer:
-29w ≤ 12
Step-by-step explanation:
just subtract -2 by 27 then the w at the end and put the less than or equal to 12
What is the volume of a sphere with a radius of 4 dm
Answer:
267.95 dm³
Step-by-step explanation:
Volume of a sphere of radius r is V = (4/3)πr³
In this case, V = (4/3)(3.14)(4 dm)³ = 267.95 dm³
Andy wants to find the distance across a river. In
order to find the distance CD, Andy stands at point
D, directly across from point C, and walks 200 feet
to the left, placing a marker at a point E. Andy
continues walking another 300 feet to point A, and
then follows the path to the left, walking until the
markers at points and C line up. Andy marks this
location B and measures AB. What is CD?
Answer: The answer is C, I just took it.
Step-by-step explanation:
Which expression could be used to find the volume of the prism shown below?
A rectangular prism with length of 12, height of 10, and width of 4.
(4 times 12) times 10
(4 + 12) times 10
(10 + 4) times 12
(10 + 12) times 4
GIVING BRAINLIEST! EASY MATH!!
Answer: 4
Step-by-step explanation:
Answer:
800 bacteria
Step-by-step explanation:
yw<3
Try to anwer this! i need helo alot of points if its correct <3
Answer: john spend less then 1/4 of hhis income on blah blah and balh
Step-by-step explanation:
The product (-9 )x(-5) x(-6)x(-3) is positive whereas the product (-9)x(-5)x6 x(-3) is negative. Why?
Answer:
Answers below!
Step-by-step explanation:
-9 x -5 = 45
45 x - 6 = -270
-270 x -3 = 810
The answer is positive because a negative multiplied by a negative equals a positive number.
-9 x -5 = 45
45 x 6 = 270
270 x -3 = -810
This answer is negative because a negative multiplied by a positive equals a negative number.