The symbol of a linear inequality is: " ≤ " or " ≥ "
What is a linear inequality equation?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
Now, the graph becomes according to the slope-intercept form is:
Here we noticed that,
This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.
Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.
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The altitude of a plane is 1200 meters. From a point on the ground, the angle of elevation of an airplane is 25º. What is the distance from point P to the airplane, to the nearest tenth of a meter? Explain your answer.
Answer:
2839.4 meters
Step-by-step explanation:
Given that:
Altitude = 1200 m
Using trigonometry :
The distance from point P to the airplane :
Using trigonometric relation :
Sin θ = opposite / hypotenus
Sin θ = altitude / x
Sin θ = 1200 m / x
Sin 25 = 1200 / x
0.4226182 = 1200 / x
x = 1200 / 0.4226182
x = 2839.4423
Distance from P to airplane = 2839.4 meters
Which of the following units is most likely to be used to measure the
length of a tennis court?
A. millimeters
C. feet
B. centimeters
D. kilograms
2/3x - 1/9x + 5 = 20
Answer:I think the answer is x=27
Step-by-step explanation:
f(7)=
g(7)=
The equation for f(x) is
The equation for g(x) is
Answer: f(7) = -128
g(7) = 26
Equation of f(x): f(x)= -11x-51
Equation of g(x): g(x)=3x+5
Step-by-step explanation:
Rate of change of a function: [tex]\dfrac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
From the table. Rate of change in f(x)= [tex]\dfrac{f(1)-f(0)}{1-0}=\dfrac{-62+51}{1}=-11[/tex]
Rate of change in g(x)= [tex]\dfrac{g(1)-g(0)}{1-0}=\dfrac{8-5}{1}=3[/tex]
Also, the rate of change throughout the function is the same, hence both are linear functions.
Equation of linear function: [tex]f(x)=mx+c[/tex], where m= rate of change of function, c = f(x) at x=0.
From table, f(0)= -51 , g(0)=5
Equation of f(x): f(x)= -11x-51
Equation of g(x): g(x)=3x+5
f(7) = -11(7)-51 = -77-51 = -128
g(7) = 3(7)+5 = 21+5 = 26
f(7) = -128
g(7) = 26
0.21
to
0.56
as a fully simplified ratio.
Answer:
0.35
Step-by-step explanation:
Which term below correctly completes the following sentence?
If a function has a vertical asymptote at a certain x-value, then the function is ______ at that value.
A. zero
B. rational
C. negative
D. undefined
The function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
We have given that,
A function has a vertical asymptote at a certain x-value, then the function------ is at that value.
We have to determine the value and fill in the blank.
What is the vertical asymptotes?
A vertical asymptote is a vertical line that guides the graph of the function but is not part of it. It can never be crossed by the graph because it occurs at the x-value that is not in the domain of the function. A function may have more than one vertical asymptote.
Therefore option D is correct.
Therefore the function has a vertical asymptote at a certain x-value, then the function is undefined at that value.
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Answer:
D. undefined
Step-by-step explanation:
Geometry help please! Thank you. Which line segment is a altitude of VWY? The letter Y got cut off of the picture. It is supposed to be at the bottom.
Answer:
VX
Step-by-step explanation:
Write 125 x (5^4)7 as a single power of 5
125 x (5^4)7 as a single power of 5 is 28*5^4.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Given;
125 x (5^4)7
Now, 125 x (5^4)7
=125x140
=17500
=28*5^4
Therefore, by algebra the answer will be 28*5^4.
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Beth purchased her car for $18,400. Three years later the car was worth $15,200. Find the percent change in the value of her car.
Answer:
17.39%.
Step-by-step explanation:
As a percentage (rounded to two decimal places):
A decrease of 17.39%.
10) An online movie club has an initiation fee of $10 plus $4 per movie rented.
Another club has an initiation fee of $20 plus $2 per movie rented
Step-by-step explanation:
$10 fee + $4 x per movie
$20 fee + $2 x per movie
help,scatter plots please and thank you
Answer: D
Step-by-step explanation:
Since a tadpole becomes a frog as it ages, it makes sense that the axis of the tail would go down as it ages since frogs don’t have tails. If you see the x axis as the tempature, and the coats as the y axis. It would make sense that as the tempature gets colder, more people would be buying coats. But basically, D is the only one that doesn’t have a cause and affect, so it wouldn’t have a very linear scatter plot. For example, I have the same letters in my name as someone I know who is 6‘ 4”, and I’m only 4’ 8”. So D wouldn’t make such a nicely formed scatter plot.
In ΔRST, r = 5 cm, t = 6.8 cm and ∠T=23°. Find all possible values of ∠R, to the nearest 10th of a degree.
Answer:
[tex]\angle r=16.696[/tex]
Step-by-step explanation:
From the question we are told that:
Dimension
r = 5 cm
t = 6.8 cm
∠T=23°
Generally the equation of sine rule i is mathematically given by
[tex]\frac{sin \angle r}{R} =\frac{sin \angle t}{T}[/tex]
[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin \angle t*R}{T})[/tex]
[tex]\frac{ \angle r}{1} =sin^-^1(\frac{sin23*5}{6.8})[/tex]
[tex]\angle r=16.696[/tex]
Need help with 2 and 4!
Answer:
Step-by-step explanation:
A dilation is when you have an original shape and them it shrinks/grows. One, three, and four are all dilations. They all have an original and then from what i see they grow. Two is not a dilation.
PLSSSSSSSSS HELP ILL GIVE A COOKIE
Answer:
The answer is ten. Perimeter is all the sides added together. Area is length times width.
Step-by-step explanation:
Where's my cookie?
Answer:
To find perimeter, all you need to do is length times width. In this case, that's 4 + 1
Your answer is 5 in.
(+12)-(-5)+(-3)+(+9)-(-25)-(-24) help me
Answer:
64
Step-by-step explanation:
12+5-3+9+25+24
23+25+24
48+24
64
A marble bag contains 3 red marbles, 4 gray marbles, 6 white marbles, and 5 black marbles. What is the probability of randomly drawing a red marble and then a gray marble if the first marble is replaced?
Answer:
1/18
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
the 9th term for 7,14,28,56
.......................................................
If I have a right rectangular prism with a base area of 22 units and a height of 6 units, what is the volume of this prism?
Answer:
132 units cubed
Step-by-step explanation:
1. What is the experimental probability of not landing on a 6?
2. What is the theoretical probability of not landing on a 6?
Answer:
1. 6/6
2. 5/6
Step-by-step explanation
You did not give me the ex. Probability so I assumed that there were 6 equal parts. so the chance of not landing on a 6 is 5.
Consider the following function f(x) = 25 - x^2 / x^2 -4x -5
Which of the following are correct? Check all of the boxes that apply.
- m /= n
-m /= n
-There is only one vertical asymptote.
-y= -1 is the horizontal asymptote
Answer:
BCD
Step-by-step explanation:
I AM RIGHT
m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct. Therefore, the correct option is option B,C,D.
What is mathematical function?A function in mathematics from such a set X to either a set Y allocates precisely 1 element of Y to every element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
A planet's position, for instance, depends on time. In the past, the idea was developed with both the infinitesimal calculus toward the conclusion of the seventeenth century, as well as the functions that were taken into consideration were differentiable until the 19th century. Just at end of the 18th century, set theory was used to formalize the idea of a function. m is equal to n, there is only one vertical asymptote and -y = –1 is the horizontal asymptote are correct.
Therefore, the correct option is option B,C,D.
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Describe the error in the work shown.
Answer:
where is the question
Step-by-step explanation:
please help me and explain the ones that are circled
Answer:
Step-by-step explanation:
it mean to figure out what number you had before the % took some of the number away
Please help! I really don't understand...
James ran a race in 2.2 hours. Casey ran the same race in 2.25 hours. Who took less time to run the race?
Answer: James
Step-by-step explanation: 2.2 is less than 2.25.
PQRS is a parallelogram with PQ=26cm and QR=20cm . If the distance between the longer-sides is 12.5cm , Find
Answer:
Below.
Step-by-step explanation:
I am guessing you want the area of the parallelogram.
Take the longer side to be the base.
Area = base * distance between base and opposite side
= 26 * 12.5
= 325 cm^2.
Angles in circle solve for each variable
Answer:
Step-by-step explanation:
Jaydin needs to know the volume of the cylinder shown. Which expression will give him the correct volume?
Answer:
2 or 3.14 (24^2) (2.5)
Step-by-step explanation:
48/2=(radius)24
(pi)r^2 x hight= volume
(pi)24^2 x 2.5
Help please!!! I need it!
Answer:
1300.62
Step-by-step explanation:
thank me later lolol.
In October sally drove 560 miles in her car.
the car travelled 34.5 miles for each gallon of petrol used
Petrol cost £1.08 per litre.
1 gallon = 4.55 litres.
Work out the cost of the petrol the car used in October
The cost of petrol the car used in October is;
Amount spent on fuel in October = £79.76
Distance sally drove in October = 560 miles
She used 1 gallon of petrol for every 34.5 miles she drove.
Thus, number of gallons of petrol she used for the month of October on the car = 560/34.5 gallons
Now, we are told that;
1 gallon = 4.55 litres
Thus; 560/34.5 gallons = (560/34.5) × 4.55/1
Quantity of petrol she used for the month in liters = 73.855 litres
Petrol costs £1.08 per liter.
Thus;
Amount spent on fuel in October = 1.08 × 73.855
Amount spent on fuel in October = £79.7634 ≈ £79.76
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Paulette wrote the equation below to show f, the amount of framing she needs for a square frame with a side length of s centimeters. f=4s How many centimeters of framing does Paulette need for a square frame that has a side length of 15.3 centimeters. Pls help this is a test A. 61.2 centimeters B. 60.3 centimeters D. 19.3 centimeters C. 11.3 centimeters
Answer: 61.2 centimeters
Step-by-step explanation:
Since the equation given to show the amount of framing that she needs for a square frame with a side length of s centimeters is:
f = 4s
Therefore, the number of centimeters of framing needed by Paulette for a square frame that has a side length of 15.3 centimeters will be:
f = 4s
f = 4 × 15.3
f = 61.2 centimeters