Answer:
[tex]3x + 2y - 1 = 0 \\ 2y = - 3x + 1 \\ y = - \frac{3}{2} x + \frac{1}{2} \\ from \: general \: equation \: \: y = mx + c \\ by \: comparison \\ m = - \frac{3}{2} \\ c = \frac{1}{2} [/tex]
The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation in the standard form is given below.
3x + 2y - 1 = 0
Separate 'y', then we have
3x + 2y - 1 = 0
2y = -3x + 1
y = -(3/2)x + 1/2
Compare the equation with the slope-intercept line.
m = - 3/2
c = 1/2
The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.
More about the linear equation link is given below.
https://brainly.com/question/11897796
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If f(x) = x2 – 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?
-4
-2
2
4
Answer:
x = - 2
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= x² - 2x + 6x + 4
= x² + 4x + 4
Equating to zero
x² + 4x + 4 = 0 ← left side is a perfect square
(x + 2)² = 0, thus
x + 2 = 0 ( subtract 2 from both sides )
x = - 2
if 12 litres of oil cost rs 4,800 .how much will 20 litres of oil cost
Step-by-step explanation:
here
cost of 12 liters oil = RS 4800
cost of 1liter oil =rs 4800 ÷ 12 = 400
now
cost of 20 liters will be 400×20=8000
Does the following table show a proportional relationship between the variables x and y?
Answer: yes it is proportional
Step-by-step explanation:
I did it on khan
The trail around Mirror Lake in Yosemite National Park is 5 miles long. 9. What fraction describes how much more of the trail Jon hiked than Andrea hiked? 10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This question is incomplete
Complete Question:
The trail around Mirror Lake in Yosemite National Park is 5 miles long.
The tables below show the fraction of miles each hiked:
Hiker Fraction of miles hiked
Andrea 2/5
Jon 1/2
Callie 4/5
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
Answer:
9. 1/10
10. 3/10
Step-by-step explanation:
9. What fraction describes how much more of the trail Jon hiked than Andrea hiked?
This is calculated as the number of miles Jon hiked - The number of miles Andrea hiked
1/2 - 2/5
= The Lowest Common Denominator is 10
= [(5 × 1) - (2 × 2)] /10
= [5 - 4] /10
= 1/10
The fraction that describes how much more of the trail Jon hiked than Andrea hiked is 1/10
10. What fraction describes how much more of the trail Callie hiked than Jon hiked?
This is calculated as the number of miles Callie hiked - The number of miles Jon hiked
4/5 - 1/2
= The Lowest Common Denominator is 10
= [(4 × 2) - (1 × 5)] /10
= [8 - 5] /10
= 3/10
The fraction describes how much more of the trail Callie hiked than Jon hiked is 3/10
find the value of x, pls show work so i know how to solve it :)))
Answer:
x=71
Step-by-step explanation:
(Base angle of an isosceles triangle)
Answer:
x = 71°
Step-by-step explanation:
Since the 2 legs are congruent then the triangle is isosceles and the 2 base angles are congruent, that is
x = 71°
A tile factory earns money by charging a flat fee for delivery and a sales price of $0.25 per tile. One customer paid a total of $3,000 for 10,000 tiles. The equation y – 3,000 = 0.25(x – 10,000) models the revenue of the tile factory, where x is the number of tiles and y is the total cost to the customer.
Which function describes the revenue of the tile factory in terms of tiles sold?
What is the flat fee for delivery?
$
Answer:
1. f(x)=0.25x+500
2.500
Step-by-step explanation:
well, it was right, and to be honest I don't know how I got it right cause I guessed
What is the value of x? 114° 2x a. 38 b. 57° c. 76° d. 85°
Answer:
I THINK is (57°) if it wrong im sorry.
Bir satıcı sattığı her üründen satış fiyatının 2/9'u kadar kar etmektedir. Bu satıcı 1800 liraya sattığı bir televizyondan kaç lira kar elde etmiştir?
Answer:
400 lira
Step-by-step explanation:
Yukarıdaki sorudan şunu söyleriz: Bir satıcı, sattığı her ürün için satış fiyatının 2 / 9'u kadar kar eder.
Dolayısıyla 1800 liraya televizyon satarsa o televizyondan elde ettiği kâr şöyle hesaplanır:
2/9 × 1800 lira
= 400 lira
la Tour eiffel a 2 etages il y a 24 tronçons . Un de ces tronçons de 700kg a été vendu aux enchères à 180 000 euros. Quel est le prix au kilogramme de ce tronçon de la Tour Eiffel
Answer:
257.143 Euros/kg
Step-by-step explanation:
Esto se calcula como:
700 kg = 180.000 euros
1 kg = x euros
Cruz multiplicar
700 kg × x = 180.000 euros × 1
x = 180.000 euros / 700 kg
x = 257,14285714 Euros / kg
x = 257.143 Euros / kg
El precio por kilogramo de este tramo de la Torre Eiffel es de 257.143 Euros / kg
Can someone PLEASE help me I need to find the length of these two ladders, please actually help and don't just guess. If you can show me how you did it too, i will give you brainliest
Answer:
29 feet for second ladder
Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.
Answer:
As this is a right angled triangle, simply find the hypotenuse
Step-by-step explanation:
We know that the square of hypotenuse is equal to the sum of the square of the other two sides
In formula > h²=a²+b²
We know the values of a and b.
Now simply put the values into the equation to find the answer :)
For 1, h²= 25² + 10²
h² = 625 + 100
=725
h=√(725)
=26.92 feet
Therefore height of ladder = 26.92 feet
For 2,
h²= 21²+20²
h²=441 + 400
h² = 841
h = √841
h = 29 feet
Heigh of ladder = 29 feet
3 2/5+3 2/5/2 1/12 what is theeeeee answerrrr
Answer:
the awnswer is 5.032\
Step-by-step explanation:
A certain solution of salt water is 10% salt and weighs 50 pounds., More salt must be added to produce a solution that ls
25% salt.
If x represents the pounds of salt to be added, which of the following expressions represents the number of pounds of
salt in the 25% solution?
what are do you want from me i don't even know my bad
What are the the example of a linear pair
Answer:
A linear pair is a adjacent angles formed when two lines
interset.
Find the value of x that solves the system shown below.
y = 5x
2x - y = 18
The solution to the system is x = -6, y = -30.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
We can start by substituting the first equation into the second equation, to eliminate y:
2x - y = 18
2x - 5x = 18 (substituting y = 5x)
-3x = 18
x = -6
Now that we know x = -6, we can use the first equation to find y:
y = 5x
y = 5(-6)
y = -30
Therefore,
The solution to the system is x = -6, y = -30.
Learn more about equations here:
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The product of a particular number and a second value, which is given by the sum of 8 and the original number, is 65. What is the number? A. x = 81 B. x = −13; x = 5 C. x = −9; x = 9 D. x = 5
Given:
The product of a particular number is 65.
Second value is given by the sum of 8 and the original number.
To find:
The unknown number.
Solution:
Let x be the unknown number.
Then, second number = x+8
The product of a particular number is 65.
[tex]x\times (x+8)=65[/tex]
[tex]x^2+8x=65[/tex]
[tex]x^2+8x-65=0[/tex]
Splitting the middle term, we get
[tex]x^2+13x-5x-65=0[/tex]
[tex]x(x+13)-5(x+13)=0[/tex]
[tex](x-5)(x+13)=0[/tex]
Using zero product property, we get
[tex]x-5=0[/tex] and [tex]x+13=0[/tex]
[tex]x=5[/tex] and [tex]x=-13[/tex]
So, the unknown number is either 5 or -13.
Therefore, the correct option is B.
The difference between Cassandra's age and Borg's age is 3 years. The sum of 8 times Cassandra's age and twice Borg's age is 94 years. How old is each
Answer:
Cassandra 10, Borg 7
Step-by-step explanation:
Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10
intersecting lines proof easy(15 points ) halfway done
Answer:
See below
Step-by-step explanation:
Statement | Reason
1. ∠1 ≅ ∠11 | 1. Given
2. ∠1 ≅ ∠9 | 2. Corresponding angles theorem
3. ∠11 ≅ ∠9 | 3. Transitive property of equality
4. a║b | 4. Corresponding angles converse
Jordan has twenty times as many baseball cards as his brother. His brother has 9 cards. How many cards does Jordan have
Answer:
180
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
Because 20x9=180
Please MARK BRAINLEST!!
Column A
Column B.
1.
(2XY)5
81X31
2.
(2x3Y)6
32x5y5
3.
(3x7)4.X3
64x18y6
Answer:
columnd A
Step-by-step explanation:
BEACUSE I LIKE A
Answer: 3
Step-by-step explanation:
Because it just is
Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function? A. (-2, -14), (-1,-10), (0, -6), (1, -2), (2, 2) B. (14,-2).(10,-1). (6.0), (2, 1), (-2,2) O C. (-14, 2), (-10,1),(-6,0),(-2,-1), (2-2) D. (2, -14), (1, -10), (0, -6).(-1,-2).(-2,2)
Given:
The of values of a function.
To find:
The ordered pairs that are found on the graph of the inverse function.
Solution:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
Then its inverse function is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
From the given table it is clear that, the ordered pairs of the function f(x) are :
[tex]\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}[/tex]
So, ordered pairs of the inverse function are :
[tex]\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}[/tex]
Therefore, the correct option is B.
A town has a population of 20000 and grows at 4% every year. How long will it be until the population will reach 39400?
Answer:
The population will be 39400 in approximately 17 years
Step-by-step explanation:
The increase in population after t years is given by the formula
[tex]P_t = P_0(1+r)^t[/tex]
Here
P_0 is the initial population
r is the growth rate and t is time in years
So far we know,
P_0 = 20000
r = 4%
P_t = 39400
Putting the values in the formula
[tex]39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t[/tex]
Taking natural log on both sides
[tex]ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17[/tex]
Hence,
The population will be 39400 in approximately 17 years
Cesar is getting balloons for his mother's birthday party. He wants each balloon string to be 12 feet long. At the party store string is sold by yard. If Cesar wants to get 47 balloons how many yards of string will he need? 1 foot =1/3 yard
Answer:
188 yards
Step-by-step explanation:
Given
Length of one balloon = 12 feet
Since 1 foot = 1/3 yards
12 feet = x
Cross multiply
1 * x = 1/3 * 12
x = 12/3
x = 4 yards
Hence one balloon will be 4 yards long.
If one balloon = 4 yards long
47 balloons = y
Cross multiply;
1 * y = 4 * 47
y = 188yards
Therefore Cesar will need 188 yards of string for 47 ballooons
What is x if: x ÷ 0.6 = 1 2/3
Answer:
x = 1
Step-by-step explanation:
Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3. Multiply 0.6 on both sides to get 1 as your final answer.
Answer:
1
Step-by-step explanation:
0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1
HELP I WILL NARK BRAINLIEST
Answer:
number 2 (-8 -2)
Step-by-step explanation:
How do you solve g(4)=
Answer:
From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1
Therefore, we conclude that:
g(4) = 1Step-by-step explanation:
Given:
A graph is given
To determine:
g(4) = ?
In other words, from the given graph, we need to determine the value of y at x=4
Finding g(4)
From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1
i.e at x = 4, y = 1Therefore, we conclude that:
g(4) = 1Determine if the expression 9x^-2 is a polynomial or not. If it is a polynomial, state
the type and degree of the polynomial.
Answer:
9x⁻² is not a polynomial
Step-by-step explanation:
A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.
A polynomial is a function written in the form of ;
f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀
The degree of a polynomial is the highest power of x in the expression
9x⁻² ----in this case, the power is negative thus this is not a polynomial.
Answer:
Not a polynomial
Step-by-step explanation:
1. [4 marks] Every morning, a boy scout raises a flag with a mass of 1.5 kg to the top of a 15.0 m
flagpole. How much work is done by the scout?
Answer:
work = force * distance
soo...
Step-by-step explanation:
force = mass * gravity
(1.5 kg )*(9.8 m/[tex]s^{2}[/tex]) = 14.7 kgm/[tex]s^{2}[/tex] or Newtons
W = 14.7 N * 15 m = 220.5 Nm and since 1 N = 1 Joule
we say 220.5 Joule
220.5 J :)
can someone help or give me the answer?
Answer:
(5,2), (9.5,70)Step-by-step explanation:
Help me with problem 2 please
Answer:
Second choice, 11/30
Step-by-step explanation:
38 + 22 = 60
He flipped tails 22 times out of 60 tries, so it's 22/60
Simplify with 2 and it's 11/30
Help. Find the sum of
-7x^2-6x+9 and -3x^2-x+7
Step-by-step explanation:
by summing them two
-9x^2 -7x + 16