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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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:
I’m having trouble with geometry, if anyone could help me i would appreciate it :)
Find the volume of the solid. Round your answer to the nearest tenth.
What are the solution to the equation (x+3)^2=7
Step-by-step explanation:
see attached. hope it's helps
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
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
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)
simplify (2x^2+3)(x+4
Answer:
23+32−5+12 is the equaequation simplified
Step-by-step explanation:
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)
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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Find the height of the cylinder
Answer:
the height is 3.998 cm
Step-by-step explanation:
h = V / (π * r²)
Hope this helps :)
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
Just met a boy, just met a boy when He could over in my play pen♀️
If you want it I'm going to va va vroom vroom
Answer:
Um what
Step-by-step explanation:
Can someone help me with this. Will mark brainliest.
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.
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:
scrieți divizorii întregi ai numerelor 6,9,15
Answer:
`15
Step-by-step explanation: i think
help pleaaaaaaaaaaaaaaaaaaaaaase
Answer:
26.85 in
Step-by-step explanation:
5+7+7 = 19
C 2πr/2 = 7.85
19+7.85 = 26.85
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:
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!
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
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
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 you guys help with the exercise?
what is the x-intercept of the graph 4x-6y=12
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
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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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
pls how do i solve htis question...... (x+1)^3
Answer:
x^3+3x^2+3x+1
tombstone and bury me.. by the river they'll carry me. finally I been resting in peace.. finally, finally..
Answer:
rhymy
Step-by-step explanation: