2(4x - 1) < 4(3x+1), where x ∈ {set of all negative Integers}
[tex]\large\underline{\sf{Solution-}}[/tex]
Given inequation:
[tex]\sf 2(4x-1)<4(3x+1), x\in \{Set\ of\ negative\ integers\}[/tex]
[tex]\sf\longmapsto 8x-2<12x+4[/tex]
[tex]\sf\longmapsto 8x-2-4<12x+4-4[/tex]
[tex]\sf\longmapsto 8x-6<12x[/tex]
[tex]\sf\longmapsto 8x-6-8x<12x-8x[/tex]
[tex]\sf\longmapsto -6<4x[/tex]
[tex]\sf\longmapsto 4x>-6[/tex]
[tex]\sf\longmapsto \dfrac{4x}{4}>\dfrac{-6}{4}[/tex]
[tex]\sf\longmapsto x >-1\dfrac{1}{2}[/tex]
Therefore:
[tex]\sf\longmapsto\boxed{ x=\{-1\}}\ \ Ans.[/tex]
Pls help I’ll brainlest for correct answer you gotta graph it on the graph too
Answer:
Slope: -2/3
Y Intercept: 0,-3
Step-by-step explanation:
To find the slope, use the formula (y1-y2)/(x1-x2)
(1-(-1))/(-6-(-3))
-2/3
So the slope is: -2/3
If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)
y = -2/3x + b
insert any point of x and y
-1 = -2/3(-3)+b
-1=-2+b
so b = -3
thus, the Y intercept is 0,-3
See graph attached for graph
Compare the quantities in Column A and Column B.
Column A
Column B
the y-intercept of the the y-intercept of the
line for the equation line for the equation
2y = 3x - 4
4x-2y=4
[A] The quantity in Column A is greater. [B] The quantity in Column B is greater.
[C] The quantities are equal.
[D] The relationship cannot be determined from the information given.
The y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
The equations are given as:
[tex]2y = 3x - 4[/tex]
[tex]4x - 2y=4[/tex]
Make y the subject in both equations
First equation
[tex]2y = 3x - 4[/tex]
[tex]y = \frac 32x - 2[/tex]
Second equation
[tex]4x - 2y=4[/tex]
[tex]y = 2x - 2[/tex]
A linear equation is represented as:
[tex]y = mx + b[/tex]
Where b represents the y-intercept
So: By comparison,
[tex]b_1 = 2[/tex] --- the y-intercept of the first equation
[tex]b_2 = 2[/tex] --- the y-intercept of the second equation
2 = 2.
Hence, the y-intercept of [tex]2y = 3x - 4[/tex] and the y-intercept of [tex]4x - 2y=4[/tex] are equal
Read more about y-intercepts at:
https://brainly.com/question/4015585
ABCD is a parallelogram. Determine the length of BE.
Answer:
BE = 102 units
Step-by-step explanation:
The diagonals of a parallelogram bisect each other , so
DE = EB , that is
- 8x + 14 = 3 - 9x (add 9x to both sides )
x + 14 = 3 ( subtract 14 from both sides )
x = - 11
Then
BE = 3 - 9x = 3 - 9(- 11) = 3 + 99 = 102 units
Answer:
A
Step-by-step explanation:I've took the test
The population of New York state can be modeled by: 19.71 P(t) =
1 + 61.22e-0.03513tP is the population in millions
and t is the number of years since 1800
What was the population in 2020?
P(220) = [?] million
Round your answer to the nearest thousandth.
Answer:
19.193 million
Step-by-step explanation:
Put the given value in the formula and do the arithmetic.
P(220) = 19.71/(1 +61.22e^(-0.03513·220))
P(220) = 19.71/(1 +61.22e^-7.7286) = 19.71/(1 +0.02694046)
P(220) ≈ 19.193 . . . million
19.19293355
Nearest thousandth is 19.193
Find the next three terms in the arithmetic sequence.
6, 12,18, 24,...
Which of the following functions has a period of 8 π ?
y =sin1/8x
y = sin1/4x
y = sin4x
y = sin8x
Explanation:
The general template of a sine function is
y = Asin(B(x-C))+D
The value of B is the only thing that determines the period T. We ignore every other term.
It turns out that T = 2pi/B which can be solved to B = 2pi/T
Plug in the given period of T = 8pi and compute to get
B = 2pi/T
B = (2pi)/(8pi)
B = 2/8
B = 1/4
This means that the term out front of the x is 1/4 and the equation must be [tex]y = \sin\left(\frac{1}{4}x\right)[/tex] which matches with answer choice B.
What is the value of x?
again, we're assuming that both triangles are similar, and thus using proportions.
[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Find the equation in standard form of the line passing through the points (6, 3) and (1,5)
Answer:
2x+5y=27
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(5-3)/(1-6)
m=2/-5
m=-2/5
y-y1=m(x-x1)
y-3=-2/5(x-6)
y-3=-2/5x+12/5
y=-2/5x+12/5+3
y=-2/5x+12/5+15/5
y=-2/5x+27/5
y-(-2/5x)=27/5
y+2/5x=27/5
5(y+2/5x)=5(27/5)
5y+2x=27
2x+5y=27
PLS HELP ME WITH THIS (4 x 1) + (4 x 3)
Answer:
16
Step-by-step explanation:
4x1 is 4
4x3 is 12
4+12 is 16
Answer:
16
Step-by-step explanation:
Frederico's checking account balance is -$15, and Neela's checking account balance is -$285. How many times the balance of Frederico's checking account is Neela's checking account balance? A. -19 B. -270 C. 270 D. 19
Answer:
2
Step-by-step explanation:
the answer is 2 because I need points for my brainly so I can get a 100 on this assignment
Christine is putting money into a savings account. She starts with $550 in the savings account, and each week she adds $60.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Christine has been adding money. Write an equation relating S to W. Then use this equation to find the total amount of money in the savings account after 19 weeks
Answer:
$1690
Step-by-step explanation:
equation: 60w+550=s
work: 60(19)+550=s
1140+550=s
1690=s
Jada has a new puppy that weighs 9 lb the vet says that the puppy is now about 20% of its doorway what will the adult weight of the puppy be.
If a number has 8 as a factor, then both 2 and 4 are factors
Yes, that is correct because 2 and 4 can both go into 8 making it a factor of the number you are talking about. ANSWER: That is true
10(11a) what is the answer need help ASAP
[tex]10(11a) \\ multiply \: \: \: 10 \: \: \: by \: \: \: 11a \\ = 10 \times 11a \\ 110a[/tex]
Answer:
110a
Hope you could get an idea from here.
Doubt clarification - use comment section.
HELP
HOW AM I MEANT TO ANSWER THIS QUESTION I WOULD ASO LIKE ANSWER.
THX
Answer: the smallest is 2^5, 6^2, 3^4 and the largest is 5^3
Don’t know the answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
2nd option is the correct answer
Answer:
log a + 3 . log c - log b
Step-by-step explanation:
✌️❤️✌️
If the food bill is $38.92, then what would the tip be if you want to leave a tip of 15%?
Answer:
$5.84
Step-by-step explanation:
-6
Which graph represents function g if g(x)= f(2x)
Answer:
2
Step-by-step explanation:
Ax+2y=10 through the point (4,3) find the missing coeffecient
Hi,
Ax + 2y = 10
A*4 + 2*3 = 10
4a + 6 = 10
4a = 4
a = 1
( 4 ; 3 )
↓ ↓
x y
✅(•‿•)
For each right triangle below, find all unknown side lengths and angle measures:
can anyone help for number 8 and 9
Answer:
10.
here,
h=c
b=5
p=12
,we know that,
h²=b²+p²(pythagoras theorum )
c=5²+12²
c=25+144
c=169
hence the value of c is 169.
A bolt has 16 1/2 turns per inch. How many turns would be in 2 1/2 inches of threads?
Answer:
41 1/4 turns
Step-by-step explanation:
create a proportion:
turns / inches = turns / inches
't' = turns
16.5 / 1 = t / 2.5
cross-multiply to get:
t = 41.25 or 41 1/4
Using the formula F = 9/5 C + 32, convert 25° Celsius (C) to
degrees Fahrenheit (F).
A.) 57°
B.) 77°
C.) 257°
D.) 269.5
Answer:77°
Step-by-step explanation:
Since we are trying to convert Celsius to Fahrenheit, we just need to replace C in the equation with the value of 25°.
[tex]F=\frac{9}{5}C+32[/tex]
[tex]F=\frac{9}{5}25+32[/tex]
[tex]F=45+32[/tex]
[tex]F=77[/tex]
The answer is 77°
What is 9 + 10 I do not know
Answer:
21, jk its 19 if you really dont know
Step-by-step explanation:
Answer:
9 + 10 = 19
just add it
hope it helps
Desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente. La hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s. ¿A qué distancia del punto A se encontrarán y en cuánto tiempo? Traza una recta que represente el desplazamiento de cada una de las hormigas.
Ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.
Dado que desde los extremos A y B de un tendedero de 240 cm de largo partes dos hormigas simultáneamente, y la hormiga que sale de A avanza a 10 cm/s, y la que se mueve desde el extremo B lleva una carga, por lo que se desplaza a 6 cm/s, para determinar a qué distancia del punto A se encontrarán y en cuánto tiempo se debe realizar el siguiente cálculo:
10 x 15 = 1506 x 15 = 90150 + 90 = 240Por lo tanto, ambas hormigas se encontraran a 15 segundos, y a 150 centímetros del punto A.
Aprende más en https://brainly.com/question/18500585
Y= (3x-4)3
Y=(2-4x)3
Y=(3x6-2x4)4
Answer:
y=24
Step-by-step explanation:
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $
The cost of the entrance ticket is $6.
The equation that can be used to represent the information in the question is:
Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)
$81 = 9t + ($3 x 9)
$81 =9t + $27
In order to determine the value of t, the following steps would be taken:
Combine similar terms
$81 - $27 = 9t
Subtract similar terms
54 = 9t
Divide both sides of the equation by 9
t = $6
To learn more, please check: https://brainly.com/question/13813779
1300 divided by 2 in hurry
Answer: 650
Step-by-step explanation:
1300 divided by 2 is 650
If you are psting your questions from an assignment i hope that its not against tos
Answer:
650
Step-by-step explanation:
this is the answer have a great day now!
There are 4 dogs allowed at the park when there are 6 people. How many dogs are
there when there are 9 people?
Answer:
7
Step-by-step explanation:
since there are 4 dogs for every 6 people,
if we add 3 people, there will be 9 people and 7 dogs.
The maximum weight of a suitcase that an airline allows is 50 pounds. For every 1 pound, there is approximately 0.45 kilograms.
Answer: 22.5 kg
Step-by-step explanation:
You did not attach a question, so I'm going to assume that it is asking for the maximum weight of a suitcase in kilograms.