The new equation is y=-1/2x+5. An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used.
What is mathematical equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." The link between two expressions on either side of the sign is represented by a mathematical equation. One variable and an equal sign are typically present. For instance, 2x – 4 = 2. The smallest equivalent fraction of the number is considered to be its simplest form. What to do to discover the simplest form? Investigate the numerator and denominator for shared factors. To see if a fractional number is a prime number, check it.Our first line in this equation is y=2x-1. By applying the equation y=mx+b, where "m" stands for the slope, we can see that our "m" in this instance is 2. then negate 2. It turns into -2.
Change the denominator and numerator after that. Since -2 is actually -2/1, let's change it to -1/2. The perpendicular line's slope is that.
We must now make it pass through (-2,6). We just have a line like this to work with at the moment: y=-1/2x
Plugging in the x-coordinate of our target location, -2, yields y=-1/2(-2), or 1. But hold on, because the y-coordinate we were given is 6, shouldn't y be equal to 6 as well? Yes! The only thing left to do is to add 5 to get from 1 to 6!
The complete question is,
Write an equation for a line perpendicular to y = 2 x − 1 and passing through the point (-2,6)
Write an equation for a line perpendicular to y=2x−1 and passing through the point (-2,6)
To learn more about equation of line refer to:
https://brainly.com/question/13763238
#SPJ1
Question 3 of 10
Jordan signed a finance agreement for her recent purchase. What is the
collateral for her loan?
The collateral for the loan that Jordan signed the finance agreement, is nothing. There was no collateral.
What is an unsecured loan ?A loan that doesn't require any sort of collateral is known as an unsecured loan. Lenders approve unsecured loans based on a borrower's creditworthiness rather than their assets as collateral. Personal loans, school loans, and credit cards are a few examples of unsecured loans.
Since secured loans are safer for lenders to approve than unsecured loans, unsecured loans need better credit scores.
Jordan most likely made a purchase with her credit card and so the finance agreement she signed would therefore likely be an unsecured loan with no collateral.
Find out more on finance agreements at https://brainly.com/question/28923059
#SPJ1
Test the convergence of the series ∑∧∞ 4.7.10…(3n+1) /1.2.3….n
The convergence of the series ∑∧∞ 4.7.10…(3n+1) /1.2.3….n is π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106
What is the convergence of a series?You should understand that any series that is not convergent is said to be divergent or to diverge
The reciprocals of the positive integers produce a divergent series
This can be written as π =3+. 1. 10. +. 4. 102. +. 1. 103. +. 5. 104. +. 9. 105. +. 2. 106 .... For x ∈ R, the (infinite) geometric series ∑n≥0 xn converges if |x| < 1 and ...
This is to say that the convergence series is the reciprocal of the series.
Learn more about convergence series on https://brainly.com/question/15415793
#SPJ1
Find the size of each internal angle in a regular heptagon. Give your
answer rounded to the nearest degree.
Answer:
Step-by-step explanation:
A heptagon is a polygon with 7 sides.
Sum of all angles of a polygon with n sides = 180(n-2) = 180 x 5 = 900°
So, the degree of each angle will be 900/7 = 128.57 or ≈129°.
Thanks
How many terms are in this expression?
2b+6
Answer:
There are two terms in the expression
Step-by-step explanation:
2b is one term since it is multiplied together, and 6 is by itself and is the second term
I Fill in the Blanks:-
2) ₹155 = ______p
Answer:
15500 Paise
In 1 rupee there are 100 paise therefore, 155 rupees after multiplying by 100 you will get the answer as 15500 paise
155×155=
24,025 p
This is the correct answer
The following are the ratings of males by females in an experiment involving speed dating. Use the given data to construct a boxplot and identify the 5-number summary. 1.0 1.5 2.5 3.0 4.0 4.0 4.5 4.5 4.5 4.5 4.5 5.0 5.0 5.5 5.5 5.5 6.0 6.0 6.5 6.5
Which event will have a sample space of S = {g, b}?
.
.
.
A. Flipping a fair, two-sided coin
B. Rolling a six-sided die
C. Flipping a two-sided coin with one side green and the other side blue
D. Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
Answer:
C. Flipping a two-sided coin with one side green and the other side blue
Step-by-step explanation:
The sample space, S, is a list of tge possible outcomes (results) of an event (coin-flipping, dice-rolling etc)
Unless its a trick question and you can argue that g and b also stand for heads/tails and A/B, then the answer C.
Answer: C: Flipping a two-sided coin with one side green and the other side blue
Step-by-step explanation: :)
NO LINKS!!! This problem only
Identify the segment bisector of XY. Then find XY.
Segment Bisector:
XY:
Answer:
Segment Bisector: PQXY: 26 units-------------------------------
As per given drawing PQ is the segment bisector of XY.
The point W is the midpoint of XY. As per property of midpoint, XW and WY have equal length.
XW = 13 units, hence:
XY = 2*XW = 2*13 = 26 unitsGraph the function m(x) = x + 1
When the function, m ( x) = x + 1 is graphed, the result is shown attached.
How to graph a function ?When graphing a function, you need to remember that x is the independent variable. This means that you need to come up with the values of x and then use these values to come up with the corresponding values of y or m (x ) using the function.
Assuming you have values of x which are -3, -2, -1, 0, 1, 2, 3, the values of y would be:
x = - 3:
= x + 1
= - 3 + 1
= -2
x = - 2
= - 2 + 1
= - 1
x = - 1
= - 1 + 1
= 0
x = 0:
= 0 + 1
= 1
x = 1 :
= 1 + 1
= 2
x = 2 :
= 2 + 1
= 3
x = 3 :
= 3 + 1
= 4
The points would then be:
( - 3, - 2) , ( - 2, - 1) , ( - 1 , 0 ) ( 0, 1 ) ( 1, 2 ) ( 2, 3 ) ( 3, 4 )
The graph would be shown as attached.
Find out more on graphing functions at https://brainly.com/question/28975650
#SPJ1
Polynomial Factor Theorem is the subject.
I only need this exercise to finish and I'm very tired, please help.
The zeros of f(x) = 4x³ + 4x² -37x + 44, using the Factor Theorem, are given as follows:
x = -4, x = 1.5 + 0.707i and x = 1.5 - 0.707i.
How to obtain the zeros of the function?The function for this problem is defined as follows:
f(x) = 4x³ + 4x² -37x + 44.
The first linear factor is given as follows:
x + 4 = 0
x = -4 is the first zero.
The Factor Theorem states that the polynomial can be written as a product of it's linear factors.
x + 4 is of the first degree, while the polynomial is of the third degree, hence the remaining linear factors form a second degree polynomial, thus:
(x + 4)(ax² + bx + c) = 4x³ + 4x² -37x + 44.
Then, multiplying on the left side, we have that:
ax³ + (4a + b)x² + (4b + c)x + 4c = 4x³ + 4x² -37x + 44.
Then the coefficients are given as follows:
ax³ = 4x³ -> a = 4.4a + b = 4 -> b = -12.4c = 44 -> c = 11.Inserting these coefficients into a quadratic function calculator, the remaining zeros are given as follows:
x = 1.5 + 0.707i, x = 1.5 - 0.707i.
More can be learned about the Factor Theorem at https://brainly.com/question/30213721
#SPJ1
Write the product (3 + 3i)(3 − 3i) in the form a + bi.
Answer:
[tex]\huge\boxed{18 + 0i}[/tex]
Step-by-step explanation:
Given expression:= (3 + 3i)(3 - 3i)
= 3(3 - 3i) + 3i(3 - 3i)
= 9 - 9i + 9i - 9i²
= 9 - 9(-1)
∵ i² = -1= 9 + 9
= 18In the form a + bi:
= 18 + 0i[tex]\rule[225]{225}{2}[/tex]
9. A consignment store charges a flat rate plus a percent of the sale price for any items it sells. An item priced at $500 carries a total fee of $120 while an item priced at $800 carries a total fee of $180. Use the point- slope equation to find the total fee for an item priced at $300.
Answer: The total fee for an item priced at $300 is $80.
Step-by-step explanation:
We can use the two given points to find the slope (m) and one point to find the y-intercept (b) of the line representing the consignment fee equation.
We know the two points are (500, 120) and (800, 180)
slope (m) = (y2-y1)/(x2-x1) = (180-120)/(800-500) = 60/300 = 0.2
Now we can use one of the point to find y-intercept (b)
120 = 0.2(500) + b
b = 20
Now we can use point-slope equation to find the total fee for an item priced at $300
y - 120 = 0.2(x - 500)
y = 0.2x + 20
Use the digits in 2023 (2, 0, 2 and 3) exactly once time each along with any mathematical symbol or operation of your choosing to create expressions equivalent to the numbers between 1 and 100. 6th Grade.
The number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency .
what is expressions ?A mathematical expression is a sentence with at least two variables or integers and one mathematical action. Addition, subtraction, multiplication, or division are all possible outcomes of this mathematical process. The following are the fundamental parts of an expression: Expression: (Math Operator, Number/Variable, Math Operator). A statement that has a least two numbers or variables, at least one mathematical operation, and is called a mathematical expression. Let's get acquainted with expressive writing. A number is 6 more than half of another number, which is known as x.
given
It is possible to locate more numbers in the challenge in some years than in others.
You might want to limit the number-finding assignment to a subset of the numbers depending on the age and arithmetic proficiency of your pupils as well as the amount of class time you want to allot to this task. The 2023 Challenge is available in 6 distinct iterations this year, which you can print and utilize with your pupils. Using the digits in 2023, set a challenge for your students to discover the numbers 1-10, 1-20, 1-30, 1-40, 1-50, or 1-100.
To know more about expression visit :-
https://brainly.com/question/14083225
#SPJ1
NEED HELP ASAP!!! PLEASE THIS IS DUE SOON
Answer:
1 is p
2 is np
3 is p
4 is np
(should be right)
Step-by-step explanation:
The functions f(x)=−2x+2 and g(x)=(1/3)^x+1 are shown in the graph. What are the solutions to −2x+2=(1/3)^x+1? Select each correct answer.
−1
0
2
3
4
Answer:
Step-by-step explanation:
The solutions to the equation −2x+2=(1/3)^x+1 can be found by finding the values of x that make the two sides of the equation equal. To solve this equation, we need to find the x values where the graphs of f(x) and g(x) intersect.Since the two functions are not linear and have different forms, it's hard to find the exact solutions. One way to find the solution is to graph the functions and find the x values where the two graphs intersect.It's not possible to find the exact values of x that make the two sides of the equation equal, because the two functions don't intersect at any specific point. It's not possible to find an exact solution to this equation, so none of the options are correct.
Lmkkkk pleaseeeeeeeeeee
Answer:
Step-by-step explanation:
B i guess
Belle bought 4 cans of paint and 1/2 of a pint of special paint additive formulated to reduce mildew. Before painting her house, she divided the additive equally among the 4 cans of paint. How much additive did she put in each can?
The quantity of additive which Belle put in each can as required is; 1/8 pint.
What is the quantity of additive in each can?It follows from the task content that the quantity of additive which Belle put in each can be determined if 1/2 of a pint of special paint additive is shared among 4 cans of paint.
The resulting expression which given the required quantity is;
1/2 ÷ 4
= 1/2 × 1/4
= 1/8.
On this note, the quantity of additive in each can of paint is 1/8 pint of special paint additive.
Read more on fraction division;
https://brainly.com/question/29301561
#SPJ1
What is the slope of the line shown below?
(1,6) (-5,-7)
A. 13/6
B. -13/6
C. -6/13
D. 6/13
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-7}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-7}-\stackrel{y1}{6}}}{\underset{\textit{\large run}} {\underset{x_2}{-5}-\underset{x_1}{1}}} \implies \cfrac{ -13 }{ -6 } \implies \cfrac{13 }{ 6 }[/tex]
Yen is planning for her retirement. She is 30 years old today and would like to have RM800,000 when she turns 55. She estimates that she will be able to earn a 9% rate of return on her retirement investment over time; she wants to set aside a constant amount of money every year (at the end of the year) to help achieve her objective. How much money must she invest at the end of each of the next 25 years to realize her goal of RM800,000 at the end of that time?
Oversize Transport Inc. supplies custom delivery service for very large construction equipment in the southeast region of United States. The most common lead of the specialty trucker is the Caterpillar model 740 dump truck, which is about 258 feet long. The owner of Oversize Transport, who also drives the firm's single 275-foot-long tractor-trailer rig, chooses to lease this huge piece of capital equipment under a five-year contract requiring monthly lease payments of $5,500 per month. Oversize Transport could not service this profitable market with any rig shorter than 275 feet. A typical delivery takes about a day and a half, so Oversize Transport can make at the most only 20 deliveries per month with its one tractor-trailer rig. Under what circumstances is the tractor-trailer a fixed input? A quasi-fixed input?
Answer:
Step-by-step explanation:
The tractor-trailer rig is a fixed input under the circumstances described because it is necessary for the business to service this profitable market and it cannot be replaced with any other type of capital equipment. The tractor-trailer is a quasi-fixed input because it has a five-year contract that requires monthly lease payments, so it is not completely fixed in the sense that the business can replace it with another piece of capital equipment at any time.
Los profesores _____ en la biblioteca.
Group of answer choices
están
estoy
está
estás
Answer:
the answer would be están
Find the domain of fg f(x) = x + 2 g(x) =1/x + 2
Answer:
x+2 domain: (-infiniy, +infinity) or -infinity<x<infinity
1/x +2 domain: (-infinity, 0) and (0, infinity) or 0<x<0
Identify the slope in line intercept for Y= 3 x +5
Answer:
The slope is 3
Step-by-step explanation:
y = mx + b The slope is the m. It is the number before the letter x.
answer for 10 points
Ann has collected 32 Beanie Babies. One half of all her Beanie Babies are puppies. One quarter of all her Beanie Babies are kittens, and one eighth of her Beanie Babies are mice. The rest of the Beanie Babies are a tiger, a crab and rabbits.
How many puppies does Ann have?
Answer:
16
Step-by-step explanation:
Basically one-half of 32
one-half = 1/2
Hence, 1/2 x 32 = 16
The rest of the information is not needed, it is a trick.
Find the sum the first 5 terms of a G.P whose first term is 3 and its common ratio is 0.25 to 4s.f.
Answer:
A G.P is a sequence of numbers such that the ratio of any two consecutive terms is a constant, called the common ratio. Given the first term (3) and the common ratio (0.25) of the G.P, we can find the sum of the first 5 terms using the formula:
S_n = a(1 - r^n) / (1 - r)
Where:
S_n is the sum of the first n terms of the G.P.
a is the first term of the G.P.
r is the common ratio of the G.P.
n is the number of terms in the sum.
So, to find the sum of the first 5 terms of the G.P, we can substitute the given values into the formula:
S_5 = 3(1 - (0.25)^5) / (1 - 0.25)
S_5 = 3(1 - (0.25)^5) / (1 - 0.25) = 3(1 - 0.25^5) / (1 - 0.25) = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75
S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75
S_5 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.75 = 3(1 - 0.25^5) / 0.
Answer:
3.996
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}[/tex]
Given:
a = 3r = 0.25n = 5Substitute the given values into the formula to find the sum of the first 5 terms of a geometric progression whose first term is 3 and common ratio is 0.25:
[tex]\implies S_5=\dfrac{3(1-0.25^5)}{1-0.25}[/tex]
[tex]\implies S_5=\dfrac{3(1-0.00097656...)}{0.75}[/tex]
[tex]\implies S_5=\dfrac{3(0.999023437...)}{0.75}[/tex]
[tex]\implies S_5=\dfrac{2.99707031...}{0.75}[/tex]
[tex]\implies S_5=3.99609375[/tex]
[tex]\implies S_5=3.996\; \sf (4\;s.f.)[/tex]
What is the nth term rule of the quadratic sequence below?
−
5
,
−
3
,
3
,
13
,
27
,
45
,
67
,
.
.
.
Answer:
Step-by-step explanation:
y=ax²+bx+c
x=1,y=-5
-5=a+b+c ...(1)
x=2,y=-3
-3=4a+2b+c ...(2)
x=3,y=3
3=9a+3b+c ...(3)
(2)-(1) gives
2=3a+b ...(4)
(3)-(2) gives
6=5a+b ...(5)
(5)-(4) gives
4=2a
a=4/2=2
from (4)
6=5(2)+b
b=6-10=-4
from (1)
-5=2+(-4)+c
-5=-2+c
c=-3
y=2x²-4x-3
QUICK I’LL MARK YOU BRAINLIEST!! 5-62. A lemonade recipe calls for using a ratio of 2 cups of lemon juice for every 4 cups of water.
Old-Fashioned Lemonade cups lemon juice
0%
6 cups
lemonade
4
100%
a. Use the diagram above to show the percent of lemonade that is water and the percent that is lemon juice.
b. What is the ratio of lemon juice to total liquid?
Answer:
Step-by-step explanation:
2 cups of lemon per 4 cups water
in 6 cups of lemonade, 2 cups lemon (2/6)
simplified 1/3
16 January aca it class Factorist the followsing.
1. 2l+2w
2. -2ab²-4a²b
3. 9x²-4
4. y²+7x+12
5. 3x²+6x-18
The factorization of the expressions gives 2(l + w), -2ab(b + 2a), (3x+2)(3x−2) and 3(x²+2x−6)
How to factorize expressions?Factorization, also known as factoring, is the process of breaking a mathematical expression down into its individual factors. In algebra, factorization refers to the process of expressing a polynomial as a product of simpler polynomials, known as its factors.
To factorize an expression, you need to look for factors of that expression. That is:
1. 2l+2w
2l+2w = 2(l + w)
2. -2ab²-4a²b
-2ab²-4a²b = -2ab(b + 2a)
3. 9x²-4
9x²-4 = (3x+2)(3x−2)
4. y²+7x+12
This cannot be factorized
5. 3x²+6x-18
3x²+6x-18 = 3(x²+2x−6)
Learn more about factorization on:
brainly.com/question/25829061
#SPJ1
helpppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
x = 10 (yes)
x = 14 (yes)
x = 6 (no)
x = 4 (no)
Step-by-step explanation:
Plug in each x value into the function and determine if it is true or not.
44 [tex]\leq[/tex] 35 + x
44 [tex]\leq[/tex] 35 + (10)
44 [tex]\leq[/tex] 45
45 is greater than or equal to 44, so it is a solution
44 [tex]\leq[/tex] 35 + (14)
44 [tex]\leq[/tex] 49
49 is greater than or equal to 44, so it is a solution
44 [tex]\leq[/tex] 35 + (6)
44 [tex]\leq[/tex] 41
41 is not greater than or equal to 44, so it is not a solution
44 [tex]\leq[/tex] 35 + (4)
44 [tex]\leq[/tex] 39
39 is not greater than or equal to 44, so it is not a solution
I hope this helps! :)
Jamal has a rare baseball card in his
collection. It is worth $78, and its value
increases by $1.50 every month that the
player is in the league. How much will
this card be worth in one year if the
player is still playing?
Answer: The answer would be $96.
Step-by-step explanation: $78 increasing dramatically by $1.50 every month, 78+1.50x12=$96.
Answer:
$96
Step-by-step explanation:
78+1.5m is the expression, with m representing months. Since one year has 12 months, the expression is now 78+1.5*12, which equals 96.