4x + 8y ≤ -24 is the example of linear inequality in two variables.
What is a linear inequality equation?Linear equations are one-degree equations. It is a straight-line equation. A linear equation with parameters a and b equal to zero has the conventional form ax + by + c = 0.
The graph of a two-variable inequality is the set of points that describe all solutions to the inequality. The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
It's a line with a shaded side on one side to show which xy pairings are the inequality's solutions.
For example -
Let us take a equation, 4x + 8y ≤ -24
Now, solve the above equation in the form of slope-intercept.
4x + 8y ≤ -24
or, 8y ≤ - 4x - 24
or, y ≤ -(1/2)x - 3
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Answer:
rhymy
Step-by-step explanation:
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest tenth.
5 in.
Answer:
10 is the number
Step-by-step explanation:
Can you guys help with the exercise?
If a car is traveling at 80 feet/second with 22 inch tires, how fast are the tires spinning in revolutions per second?
Answer:
43.6
Step-by-step explanation:
Solve for x using the Quadratic Formula: x2 + 4x + 4 = 0 x = −2
Answer:
x=-2
Step-by-step explanation:
x^2+4x+4 = 0
(x+2)(x+2) = 0
x+2=0
x=-2
For the people that are trying to help me, is this good?
Answer:
369.03
Step-by-step explanation:
The figure is a pyramid with a rectangular base
The formula is A+1/2ps
A=130 (Area of the base)
p=46 (perimeter of the base)
s=15 (slant height)
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Answer:
26.85 in
Step-by-step explanation:
5+7+7 = 19
C 2πr/2 = 7.85
19+7.85 = 26.85
If y varies inversely with x and y = 8 when x = 10, then what is the constant of variation?
Answer:
Constant Variation = 80Step-by-step explanation:
Here,
Said that x and y vary inversely ,
So,
Then an increase in x causes corresponding decrease in y and vice-versa then to find the constant k will be:
xy = kHence,
Here y = 8 and x = 10
So their constant will be,
x × y = k
=> k = 8 × 10
=> k = 80
Therefore, the required constant is 80 (Ans)
The amount of money earned by Alejandro varies directly to the number of hours
worked. Alejandro worked for 12 hours and earned $150. How much money did he
earn if he worked 38 hours?
$474
$475
$150
$100
Answer:
474
Step-by-step explanation:
38/12= 3.16
3.16x150=474
Please help me, I'm behind and my teacher is making us take a quiz that I don't know anything about T_T
LMNP is rotated 180* clockwise around the origin.
Answer:
D
Step-by-step explanation:
If a shape is rotated 180* clockwise around the origin, then it is basically being flipped around which means that the current coordinates would be the opposite of what they currently are. So (3,4) would be (-3, -4).
I think that is the right answer but I'm not 100% sure sorry!
67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways
Answer:
A
Step-by-step explanation: add 15+12+7
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The band director can create a trio in 1,260 different ways.
Hence, option C is correct.
Use the concept of permutations,
The formula for permutations is,
⇒ [tex]^{n}P_{r}[/tex] = n! / (n - r)!
Where n is the total number of items and r is the number of items we are selecting.
So in this case, we have,
⇒ n = 15 clarinet players
⇒ n = 12 flute players
⇒ n = 7 saxophone players
⇒ r = 1 clarinet player,
1 flute player, and 1 saxophone player
To find the number of ways we can create a trio with one player from each instrument, we need to calculate,
⇒ ([tex]^{15}P_{1}[/tex]) x ([tex]^{12}P_{1}[/tex]) x ([tex]^{7}P_{1}[/tex])
⇒ ([tex]^{15}P_{1}[/tex]) = 15! / (15 - 1)!
= 15! / 14!
= 15
This represents the number of ways we can choose one clarinet player out of 15.
([tex]^{12}P_{1}[/tex]) ) = 12! / (12 - 1)!
= 12! / 11!
= 12
This represents the number of ways we can choose one flute player out of 12.
[tex]^{7}P_{1}[/tex] = 7! / (7 - 1)!
= 7! / 6!
= 7
This represents the number of ways we can choose one saxophone player out of 7.
So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,
⇒ 15 x 12 x 7 = 1,260
Therefore,
The band director can create a trio in 1,260 different ways.
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A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.
Determine if each value, in centimeters, is a possible input of the function.
3
Answer:
Input is the value of w and the function f = 24/w as length x breadth = area of rectangle
Heart if this helped
scrieți divizorii întregi ai numerelor 6,9,15
Answer:
`15
Step-by-step explanation: i think
pls how do i solve htis question...... (x+1)^3
Answer:
x^3+3x^2+3x+1
I'll give 20pts and Brainliest!
Gavin is subdividing land into two plots, where one plot is in the shape of a square and the other plot is in the shape of a rectangle. The square plot of land has a side length of 6x³ feet, and the rectangular plot of land has a length of 3x⁵ feet and a width of 7x² feet. Use the properties of exponents to determine the expression that represents the area for each plot of land. Then analyze which plot of land has a larger area if x is 3.
The square plot of land has a larger area when x is 3.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
To find the area of the square plot, we can use the formula for the area of a square: A = [tex]s^2,[/tex] where s is the length of a side of the square. In this case, the side length is 6x³ feet, so the area of the square plot is:
A = [tex](6x³)^2 = 36x^6[/tex]square feet
To find the area of the rectangular plot, we can use the formula for the area of a rectangle: A = lw, where l is the length of the rectangle and w is the width. In this case, the length is 3x⁵ feet and the width is 7x² feet, so the area of the rectangular plot is:
A = (3x⁵)(7x²) = 21x⁷ square feet
To analyse which plot of land has a larger area if x is 3, we can substitute x = 3 into the expressions for the areas of the plots:
Area of square plot[tex]= 36(3)^6[/tex] [tex]= 11664[/tex] square feet
Area of rectangular plot =[tex]21(3)^7 = 5103[/tex] square feet
Therefore, the square plot of land has a larger area when x is 3.
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Harry has 25 sweets.
He gives 11 of the sweets to Nadia.
What fraction of the 25 sweets does Harry have now?
Answer: 14
Step-by-step explanation:
1. Harry has 25/25 sweets
2. Nadia takes 11/25 sweets
3. Your left with 14/25
the square of a negative number increased by 6 times the number is 72. Find the number.
Answer:
y = 6
Step-by-step explanation:
(y + 6) × y = 72
y = negative number²
When negative numbers are squared they become positive.
y = 6
Check
(6 + 6) × 6 = 72
12 × 6 = 72
what is the x-intercept of the graph 4x-6y=12
Haha posting the pics of me again cuz why not
1/10
for me i pick 5/10
Answer:
Step-by-step explanation:
10/10 cause everyone is
Answer:
AA by isaiah rashad
Step-by-step explanation:
good song
Can someone help me on this math question pls I have 12 more questions I need help on too !
A is the answer. Since they will both be divided by 4 due to the same amount of points, because Globrite has a greater range, it will have a greater mean. Glo brite also ranges bigger than Luminate
Find the volume of a pyramid with a square base, where the side length of the base is 14.1 feet and the height of the pyramid is 13.1 feet. Round your answer to the nearest 10th of a cubic foot.
Answer:
= 868.1ft^3
Step-by-step explanation:
Volume of the square based pyramid = BH/3
B is the base area
H is the height of the pyramid
Base area = Length * Length
Base area = 14.1*14.1
BAse area = 198.81ft^2
Height = 13.1feet
Substitute
Volume = 198.81*13.1/3
Volume of the pyramid = 868.1ft^3
Hence the volume of a pyramid with the square base is 868.1ft^3
Answer: 868.1 ft^3
Step-by-step explanation:
What are the solution to the equation (x+3)^2=7
Step-by-step explanation:
see attached. hope it's helps
Find the height of the cylinder
Answer:
the height is 3.998 cm
Step-by-step explanation:
h = V / (π * r²)
Hope this helps :)
HELP!!! answer quickly pls
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Each of the green lines has 3 times the length of the corresponding blue line. Thus the dilution factor is 3.
PLEASE HELP 2x^2-8x+6=0
Answer:
x = 4 or x = -1
Step-by-step explanation:
2x^2 - 8x + 6 =0
divide by 2 we get : x^2 -4x +3 = 0
(x -4) (x+1)
x = 4 or x = -1
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If you want it I'm going to va va vroom vroom
Answer:
Um what
Step-by-step explanation:
Find the volume of the solid. Round your answer to the nearest tenth.
Can someone help me with this. Will mark brainliest.
I’m having trouble with geometry, if anyone could help me i would appreciate it :)